▼♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ ❜❡t❛
❝♦♠ ❡rr♦ ♥❛s ✈❛r✐á✈❡✐s
❏❛❧♠❛r ▼❛♥✉❡❧ ❋❛r❢á♥ ❈❛rr❛s❝♦
❚❡s❡ ❛♣r❡s❡♥t❛❞❛
❛♦
■♥st✐t✉t♦ ❞❡ ▼❛t❡♠át✐❝❛ ❡ ❊st❛tíst✐❝❛
❞❛
❯♥✐✈❡rs✐❞❛❞❡ ❞❡ ❙ã♦ P❛✉❧♦
♣❛r❛
♦❜t❡♥çã♦ ❞♦ tít✉❧♦
❞❡
❉♦✉t♦r ❡♠ ❈✐ê♥❝✐❛s
Pr♦❣r❛♠❛✿ ❊st❛tíst✐❝❛
❖r✐❡♥t❛❞♦r❛✿ Pr♦❢✳ ❉r❛✳ ❙✐❧✈✐❛ ▲♦♣❡s ❞❡ P❛✉❧❛ ❋❡rr❛r✐
❈♦♦r✐❡♥t❛❞♦r✿ Pr♦❢✳ ❉r✳ ❘❡✐♥❛❧❞♦ ❇♦r✐s ❆r❡❧❧❛♥♦✲❱❛❧❧❡
❉✉r❛♥t❡ ♦ ❞❡s❡♥✈♦❧✈✐♠❡♥t♦ ❞❡st❛ t❡s❡ ♦ ❛✉t♦r r❡❝❡❜❡✉ ❛✉①í❧✐♦ ✜♥❛♥❝❡✐r♦ ❞❛ ❈❆P❊❙ ❡ ❞♦ ❈◆Pq✱
▼♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ ❜❡t❛
❝♦♠ ❡rr♦ ♥❛s ✈❛r✐á✈❡✐s
❊st❛ ✈❡rsã♦ ❞❡✜♥✐t✐✈❛ ❞❛ t❡s❡ ❝♦♥té♠ ❛s ❝♦rr❡çõ❡s ❡ ❛❧t❡r❛çõ❡s s✉❣❡r✐❞❛s ♣❡❧❛ ❈♦♠✐ssã♦ ❏✉❧❣❛❞♦r❛ ❞✉r❛♥t❡ ❛ ❞❡❢❡s❛ r❡❛❧✐③❛❞❛ ♣♦r ❏❛❧♠❛r ▼❛♥✉❡❧ ❋❛r❢á♥ ❈❛rr❛s❝♦ ❡♠ ✷✺✴✺✴✷✵✶✷✳
❈♦♠✐ssã♦ ❏✉❧❣❛❞♦r❛✿
• Pr♦❢❛✳ ❉r❛✳ ❙✐❧✈✐❛ ▲♦♣❡s ❞❡ P❛✉❧❛ ❋❡rr❛r✐ ✭♦r✐❡♥t❛❞♦r❛✮ ✲ ■▼❊✲❯❙P • Pr♦❢✳ ❉r✳ ❘❡✐♥❛❧❞♦ ❇♦r✐s ❆r❡❧❧❛♥♦✲❱❛❧❧❡ ✲ P❯❈✲❈❤✐❧❡
❉❡❞✐❝❛tór✐❛
❆ ❉❡✉s ❡ à ✈✐r❣❡♠ ✧■♠❛❝✉❧❛❞❛ ❈♦♥❝❡♣çã♦✧ ❞❡ ◆✐✲ ♥❛❜❛♠❜❛ ✲ ❆❝♦♠❛②♦✱ P❡rú✱ ♣♦r ❛❜❡♥ç♦❛r ♠❡✉ ❝❛✲ ♠✐♥❤♦ ❞✐❛ ❛ ❞✐❛✳
❆♦s ♠❡✉s ♣❛✐s ▼❛♥✉❡❧ ❏❛❝✐♥t♦ ❡ ▼❛r✐❛ ❏❡s✉s ♣❡❧♦ ❝♦♥st❛♥t❡ ❛♣♦✐♦✳ ❆ ♠✐♥❤❛s ❛❞♦rá✈❡✐s ✐r♠ãs ❈❛r✲ ♠❡♥ ❘♦s❛✱ ❨❡♥② ▼❛r✐❛✱ ◆❛♥❝②✱ ❏❛❝❦❡❧✐♥❡ ❡ ❈r②s✲ t❡❧✳
❆ ▲✐③❛♥❞r❛ ❈❛st✐❧❤♦ ❋❛❜✐♦ ♣♦r s❡✉ ❝❛r✐♥❤♦ ❡ ❛♣♦✐♦ ✐♥❝♦♥❞✐❝✐♦♥❛❧✳
➚ Pr♦❢❡ss♦r❛ ❙✐❧✈✐❛ ▲♦♣❡s ❞❡ P❛✉❧❛ ❋❡rr❛r✐ ♣❡❧❛ ♦r✐❡♥t❛çã♦ s❡❣✉r❛ ❡ ❛t❡♥❝✐♦s❛✳
❆❣r❛❞❡❝✐♠❡♥t♦s
❈♦st✉♠❛✲s❡ ❞✐③❡r ♥♦ ✜♥❛❧ q✉❡ ❢❛③❡r ✉♠❛ t❡s❡ é ✉♠ tr❛❜❛❧❤♦ ár❞✉♦✳ ❆❝❤♦ q✉❡ é ♠✉✐t♦ ♠❛✐s q✉❡ ✐ss♦✳ ❖s ✐♥t❡♥s♦s ❞✐á❧♦❣♦s ❝♦♠ ❛ ♦r✐❡♥t❛❞♦r❛ ❡ ❝♦✲♦r✐❡♥t❛❞♦r✱ ❛ ❝♦♥✈✐✈ê♥❝✐❛ ♥❛s ❞✐s❝✐♣❧✐♥❛s ❞❡ ❢♦r♠❛✲ çã♦✱ ❛s ❝♦♥✈❡rs❛s ♥♦s ❝♦rr❡❞♦r❡s ❡ ♥❛ s❛❧❛ ❞♦ ❝❛❢é✱ ❛s ♣❛rt✐❝✐♣❛çõ❡s ♥♦s ❝♦♥❣r❡ss♦s✱ ♥❛s ❝♦♥❢❡rê♥❝✐❛s✱ ❛s tr♦❝❛s ❞❡ ❝♦rr❡✐♦s ❡❧❡trô♥✐❝♦s✱ ♦ ❛♣♦✐♦ r❡❝❡❜✐❞♦ ♥♦s ♠♦♠❡♥t♦s ❞❡ ❛♥❣úst✐❛✱ ❛s s✉❣❡stõ❡s r❡❝❡❜✐❞❛s ❡ ♦ ár❞✉♦ tr❛❜❛❧❤♦ ❞❡ r❡✈✐sã♦ ❝♦♥st✐t✉❡♠ ✉♠ t♦❞♦ ❝♦❧❡t✐✈♦ ❞❡st❡ tr❛❜❛❧❤♦✳
❈❛❞❛ ✉♠❛ ❞❡st❛s ♦❜s❡r✈❛çõ❡s t❡♠ s❡✉ ♠ér✐t♦✳ ❆❣r❛❞❡❝❡r é ✉♠ ❣❡st♦ ♠í♥✐♠♦ ❞❡ r❡❝♦♥❤❡❝✐♠❡♥t♦ ♣❡r❛♥t❡ ❛ ✐♥t❡♥s✐❞❛❞❡ ❞♦ ❝❛r✐♥❤♦ ❡ ❣r❛t✐❞ã♦ q✉❡ s✐♥t♦ ♣♦r t♦❞♦s ❛q✉❡❧❡s q✉❡ ✈✐r❛♠ ♥❡st❡ tr❛❜❛❧❤♦ ❛ ✐♠♣♦rtâ♥❝✐❛ ❞❡ sê✲❧♦✳
❘❡✐t❡r♦ ♠✐♥❤❛ ❣r❛t✐❞ã♦ à Pr♦❢❡ss♦r❛ ❙✐❧✈✐❛ ▲♦♣❡s ❞❡ P❛✉❧❛ ❋❡rr❛r✐✱ ♣❡❧♦s ❛♥♦s ❞❡ ♦r✐❡♥t❛çã♦ ❛❝❛❞ê♠✐❝❛ ❡ ♣❡ss♦❛❧ ❡ ♣❡❧❛ ♣❛❝✐ê♥❝✐❛ ♥♦ ❛❝♦♠♣❛♥❤❛♠❡♥t♦ ❞❡st❡ tr❛❜❛❧❤♦✳
❉❛s ❝♦♥tr✐❜✉✐çõ❡s ❞♦ Pr♦❢❡ss♦r ❘❡✐♥❛❧❞♦ ❇♦r✐s ❆r❡❧❧❛♥♦ ❱❛❧❧❡✱ ♣❡❧❛ ♦♣♦rt✉♥✐❞❛❞❡ ❞❡ ✈✐s✐tá✲❧♦ ♥♦ ❉❡♣❛rt❛♠❡♥t♦ ❞❡ ❊st❛tíst✐❝❛ ❞❛ ❯♥✐✈❡rs✐❞❛❞ ❈❛tó❧✐❝❛ ❞❡ ❈❤✐❧❡ ♣❛r❛ ✐♥✐❝✐❛r ❡st❡ tr❛❜❛❧❤♦✳
▼✉✐t♦ ♦❜r✐❣❛❞♦ ❛ ♠❡✉s ♠❡str❡s ❡ ❛♠✐❣♦s✱ ❝♦♠♦ ♦s ❝♦♥s✐❞❡r♦✱ ❛♦s ♣r♦❢❡ss♦r❡s ❊❞✇✐♥ ▼♦✐sés ▼❛r❝♦s ❖rt❡❣❛ ❡ ●❛✉ss ❈♦r❞❡✐r♦✳
▼❡✉s s✐♥❝❡r♦s ❛❣r❛❞❡❝✐♠❡♥t♦s ❛♦s ♣r♦❢❡ss♦r❡s ❆♥tô♥✐♦ ❈❛r❧♦s P❡❞r♦s♦ ❞❡ ▲✐♠❛✱ ❆✐r❧❛♥❡ P❡r❡✐r❛ ❆❧❡♥❝❛r✱ ▲ú❝✐❛ P❡r❡✐r❛ ❇❛rr♦s♦✱ ●✐❧❜❡rt♦ ❆❧✈❛r❡♥❣❛ P❛✉❧❛ ❡ ❍❡❧❡♥♦ ❇♦❧❢❛r✐♥❡✱ q✉❡ ❝♦♥tr✐❜✉ír❛♠ ♣❛r❛ ♠✐♥❤❛ ❢♦r♠❛çã♦ ❝♦♠ ❛s ❞✐s❝✐♣❧✐♥❛s q✉❡ ❝✉rs❡✐ ❞✉r❛♥t❡ ♦s ♣r✐♠❡✐r♦s ❛♥♦s ❞❡ ❞♦✉t♦r❛❞♦✳
▼❡✉s ❛❣r❛❞❡❝✐♠❡♥t♦s ❛ ❖❧❣❛ ❙❛t♦♠✐ ❨♦s❤✐❞❛✱ ❣❡r❡♥t❡ ❞❡ ♣r♦❥❡t♦s ❞♦ ❈❡♥tr♦ ❞❡ ▼❡tr♦❧♦❣✐❛ ❞❡ ❋❧✉✐❞♦s ❞♦ ■♥st✐t✉t♦ ❞❡ P❡sq✉✐s❛s ❚❡❝♥♦❧ó❣✐❝❛s ✭■P❚✮ ♣♦r ❜r✐♥❞❛r✲♠❡ ❛♠✐③❛❞❡✱ t❡♠♣♦ ❡ ❛ss❡ss♦r✐❛ té❝♥✐❝❛✳
❊♠ t❡r♠♦s ✐♥st✐t✉❝✐♦♥❛✐s✱ ❢♦r❛♠ ❢✉♥❞❛♠❡♥t❛✐s ❛s ❜♦❧s❛s ❞❡ ❡st✉❞♦s ❞❛ ❈♦♦r❞❡♥❛çã♦ ❞❡ ❆♣❡r❢❡✐✲ ç♦❛♠❡♥t♦ ❞❡ P❡ss♦❛❧ ❞❡ ◆í✈❡❧ ❙✉♣❡r✐♦r ✭❈❆P❊❙✮ ❡ ❞♦ ❈♦♥s❡❧❤♦ ◆❛❝✐♦♥❛❧ ❞❡ ❉❡s❡♥✈♦❧✈✐♠❡♥t♦ ❈✐❡♥✲ tí✜❝♦ ❡ ❚❡❝♥♦❧ó❣✐❝♦ ✭❈◆Pq✮❀ ♦ ❛♣♦✐♦ ✜♥❛♥❝❡✐r♦ ❞♦ ■♥st✐t✉t♦ ❞❡ ▼❛t❡♠át✐❝❛ ❡ ❊st❛tíst✐❝❛ ✭■▼❊✮ ♣❛r❛ ♣❛rt✐❝✐♣❛r ❞♦s ❞✐❢❡r❡♥t❡s ❡✈❡♥t♦s ❝✐❡♥tí✜❝♦s✱ ♦ ❋♦♥❞♦ ◆❛❝✐♦♥❛❧ ❞❡ ❉❡s❛rr♦❧❧♦ ❈✐❡♥tí✜❝♦ ❡ ❚❡❝♥♦❧ó❣✐❝♦ ✭❋❖◆❉❊❈❨❚✮✲❈❤✐❧❡✱ q✉❡ ❛♣♦✐♦✉ ♥❛s ❞❡s♣❡s❛s ❞❛ ♠✐♥❤❛ ❡st❛❞✐❛ ♥♦ ❈❤✐❧❡ ❡ ❛ ❙✉♣❡r✐♥t❡♥❞ê♥❝✐❛ ❞❡ ❆ss✐stê♥❝✐❛ ❙♦❝✐❛❧ ✭❙❆❙✮✱ q✉❡ ♠❡ ❜r✐♥❞♦✉ ❝♦♠ ♠♦r❛❞✐❛ ❞❡s❞❡ ♦ ♣r✐♠❡✐r♦ ❞✐❛ ❡♠ q✉❡ ❝❤❡❣✉❡✐ ❛ ❙ã♦ P❛✉❧♦✳
❆❣r❛❞❡ç♦ ❛ ♠❡✉s ❝♦❧❡❣❛s ❞❡ ❛♣❛rt❛♠❡♥t♦ ❈❛r❧♦s ❈❛rr❛s❝♦ ❆r❜✐❡t♦ ❡ ❉❛♥✐❡❧ ❆❧♦♥s♦ ❞❛ ❙✐❧✈❛ ♣♦r ❝♦♠♣❛rt✐❧❤❛r❡♠ ♠♦♠❡♥t♦s ❣r❛t♦s ❡ ❤❛r♠♦♥✐♦s♦s ❞✉r❛♥t❡ ❡st❡s q✉❛tr♦ ❛♥♦s✳
❆❣r❛❞❡ç♦ ❝❛r✐♥❤♦s❛♠❡♥t❡ ❛ ♠❡✉s ❛♠✐❣♦s ❡ ❝♦❧❡❣❛s ❞♦ ✐♥st✐t✉t♦ ●✉st❛✈♦ P❡r❡✐r❛✱ ▲✉③ ▼❛r✐♥❛ ●♦♠❡s✱ ◆✉❜✐❛ ❊st❡❢❛♥♦✱ ❆rt✉r ❏♦sé ▲❡♠♦♥t❡✱ ❆❧❡①❛♥❞r❡ P❛tr✐♦t❛✱ ❚✐❛❣♦ ▼❛✐❛ ▼❛❣❛❧❤ã❡s✱ ❘❛❢❛❡❧ ❋❛r✐❛s✱ ▼✐❝❤❡❧ ▼♦♥t♦r✐❧✱ ❆♠❛♥❞❛ ●♦♠❡s ❞♦s ❙❛♥t♦s✱ ●❡r❛r❞ ❏♦❤♥ ❆❧✈❛ ▼♦r❛❧❡s✱ ❏♦r❣❡ ▲✉✐s ❚♦rr❡✲ ❥♦♥✱ ▼❛r❝♦ ❘✐q✉❡❧♠❡✱ ❚✐❛❣♦ ▼♦r❡✐r❛ ❱❛r❣❛s✱ ●✐♦✈❛♥❛ ❋✉♠❡s ❡ ❊❧✐❛♥❡ ❈❛♥t✐♥❤♦ P✐♥❤❡✐r♦✳
❆❣r❛❞❡ç♦ ❛ ♠❡✉s ❢❛♠✐❧✐❛r❡s ♣❡❧♦ ❡stí♠✉❧♦ ❡ ❛♣♦✐♦ ❝♦♥st❛♥t❡✱ s♦❜r❡t✉❞♦ ♣❡❧❛ ❝♦♠♣r❡❡♥sã♦ ❞❡ ♠✉✐t♦s ❛♥♦s ❞❡ ❛✉sê♥❝✐❛✳
▼❡✉s ❛❣r❛❞❡❝✐♠❡♥t♦s s✐♥❝❡r♦s ❛♦s ♣r♦❢❡ss♦r❡s ❘❛②❞♦♥❛❧ ❖s♣✐♥❛ ▼❛rt✐♥❡③✱ ❋❡r♥❛♥❞♦ ❆♥tô♥✐♦ ❞❛
✐✈
❙✐❧✈❛ ▼♦✉r❛ ❡ ▼ár✐♦ ❞❡ ❈❛str♦ ❆♥❞r❛❞❡ ❋✐❧❤♦ q✉❡ ❝♦♥❢♦r♠❛r❛♠ ❛ ❜❛♥❝❛ ❡①❛♠✐♥❛❞♦r❛✳
❘❡s✉♠♦
▼♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦ ♥❛s ✈❛r✐á✈❡✐s
◆❡st❡ tr❛❜❛❧❤♦ ❞❡ t❡s❡ ♣r♦♣♦♠♦s ✉♠ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✳ ❊st❛ ♣r♦✲ ♣♦st❛ é ✉♠❛ ár❡❛ ✐♥❡①♣❧♦r❛❞❛ ❡♠ ♠♦❞❡❧♦s ♥ã♦ ❧✐♥❡❛r❡s ♥❛ ♣r❡s❡♥ç❛ ❞❡ ❡rr♦s ❞❡ ♠❡❞✐çã♦✳ ❆❜♦r❞❛♠♦s ♠❡t♦❞♦❧♦❣✐❛s ❞❡ ❡st✐♠❛çã♦✱ ❝♦♠♦ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛✱ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐✲ ❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦✳ ❖ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ❞❡t❡r♠✐♥❛ ❛s ❡st✐♠❛t✐✈❛s ♠❛①✐♠✐③❛♥❞♦ ❞✐r❡t❛♠❡♥t❡ ♦ ❧♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ ❖ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ é ✉t✐❧✐③❛❞♦ q✉❛♥❞♦ ❛ ✐♥❢❡rê♥❝✐❛ ❡♠ ✉♠ ❞❡t❡r♠✐♥❛❞♦ ♠♦❞❡❧♦ ❡♥✈♦❧✈❡ ❛♣❡♥❛s ❛❧❣✉♥s ♠❛s ♥ã♦ t♦❞♦s ♦s ♣❛râ♠❡tr♦s✳ ◆❡ss❡ s❡♥t✐❞♦✱ ❞✐③❡♠♦s q✉❡ ♦ ♠♦❞❡❧♦ ❛♣r❡s❡♥t❛ ♣❛râ♠❡tr♦s ❞❡ ✐♥t❡r❡ss❡ ❝♦♠♦ t❛♠❜é♠ ❞❡ ♣❡rt✉r❜❛çã♦✳ ◗✉❛♥❞♦ s✉❜st✐t✉í✲ ♠♦s ❛ ✈❡r❞❛❞❡✐r❛ ❝♦✈❛r✐á✈❡❧ ✭✈❛r✐á✈❡❧ ♥ã♦ ♦❜s❡r✈❛❞❛✮ ♣♦r ✉♠❛ ❡st✐♠❛t✐✈❛ ❞❛ ❡s♣❡r❛♥ç❛ ❝♦♥❞✐❝✐♦♥❛❧ ❞❛ ✈❛r✐á✈❡❧ ♥ã♦ ♦❜s❡r✈❛❞❛ ❞❛❞❛ ❛ ♦❜s❡r✈❛❞❛✱ ♦ ♠ét♦❞♦ é ❝♦♥❤❡❝✐❞♦ ❝♦♠♦ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦✳ ❈♦♠♣❛r❛♠♦s ❛s ♠❡t♦❞♦❧♦❣✐❛s ❞❡ ❡st✐♠❛çã♦ ♠❡❞✐❛♥t❡ ✉♠ ❡st✉❞♦ ❞❡ s✐♠✉❧❛çã♦ ❞❡ ▼♦♥t❡ ❈❛r❧♦✳ ❊st❡ ❡st✉❞♦ ❞❡ s✐♠✉❧❛çã♦ ❡✈✐❞❡♥❝✐♦✉ q✉❡ ♦s ♠ét♦❞♦s ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ t✐✈❡r❛♠ ♠❡❧❤♦r ❞❡s❡♠♣❡♥❤♦ ❢r❡♥t❡ ❛♦s ♠ét♦❞♦s ❞❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ❡ ♥❛ï✈❡ ✭✐♥❣ê♥✉♦✮✳ ❯t✐❧✐③❛♠♦s ❛ ❧✐♥❣✉❛❣❡♠ ❞❡ ♣r♦❣r❛♠❛çã♦ Ox✭❉♦♦r♥✐❦✱ ✷✵✶✶✮ ❝♦♠♦ s✉♣♦rt❡ ❝♦♠♣✉t❛❝✐♦♥❛❧✳
❊♥❝♦♥tr❛♠♦s ❛ ❞✐str✐❜✉✐çã♦ ❛ss✐♥tót✐❝❛ ❞♦s ❡st✐♠❛❞♦r❡s✱ ❝♦♠ ♦ ♦❜❥❡t✐✈♦ ❞❡ ❝❛❧❝✉❧❛r ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛ ❡ t❡st❛r ❤✐♣ót❡s❡s✱ t❛❧ ❝♦♠♦ ♣r♦♣õ❡♠ ❈❛rr♦❧❧ ❡t ❛❧✳ ✭✷✵✵✻✱ ❙❡çã♦ ❆✳✻✳✻✮✱ ●✉♦❧♦ ✭✷✵✶✶✮ ❡ ●♦♥❣ ❡ ❙❛♠❛♥✐❡❣♦ ✭✶✾✽✶✮✳ ❆❞❡♠❛✐s✱ sã♦ ✉t✐❧✐③❛❞❛s ❛s ❡st❛tíst✐❝❛s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡ ♣❛r❛ t❡st❛r ❤✐♣ót❡s❡s✳ ◆✉♠ ❡st✉❞♦ ❞❡ s✐♠✉❧❛çã♦ r❡❛❧✐③❛❞♦✱ ❛✈❛❧✐❛♠♦s ♦ ❞❡s❡♠♣❡♥❤♦ ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡✳
❉❡s❡♥✈♦❧✈❡♠♦s té❝♥✐❝❛s ❞❡ ❞✐❛❣♥óst✐❝♦ ♣❛r❛ ♦ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✳ Pr♦♣♦♠♦s ♦ r❡sí❞✉♦ ♣♦♥❞❡r❛❞♦ ♣❛❞r♦♥✐③❛❞♦ t❛❧ ❝♦♠♦ ❞❡✜♥❡♠ ❊s♣✐♥❤❡✐r❛ ❡t ❛❧✳ ✭✷✵✵✽❜✮ ❝♦♠ ♦ ♦❜✲ ❥❡t✐✈♦ ❞❡ ✈❡r✐✜❝❛r ❛s s✉♣♦s✐çõ❡s ❛ss✉♠✐❞❛s ❛♦ ♠♦❞❡❧♦ ❡ ❞❡t❡❝t❛r ♣♦♥t♦s ❛❜❡rr❛♥t❡s✳ ▼❡❞✐❞❛s ❞❡ ✐♥✢✉ê♥❝✐❛ ❣❧♦❜❛❧✱ t❛✐s ❝♦♠♦ ❛ ❞✐stâ♥❝✐❛ ❞❡ ❈♦♦❦ ❣❡♥❡r❛❧✐③❛❞❛ ❡ ♦ ❛❢❛st❛♠❡♥t♦ ❞❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✱ sã♦ ✉t✐❧✐③❛❞❛s ♣❛r❛ ❞❡t❡❝t❛r ♣♦♥t♦s ✐♥✢✉❡♥t❡s✳ ❆❧é♠ ❞✐ss♦✱ ✉t✐❧✐③❛♠♦s ❛ té❝♥✐❝❛ ❞❡ ✐♥✢✉ê♥❝✐❛ ❧♦❝❛❧ ❝♦♥❢♦r♠❛❧ s♦❜ três ❡sq✉❡♠❛s ❞❡ ♣❡rt✉r❜❛çã♦ ✭♣♦♥❞❡r❛çã♦ ❞❡ ❝❛s♦s✱ ♣❡rt✉r❜❛çã♦ ❞❛ ✈❛r✐á✈❡❧ r❡s♣♦st❛ ❡ ♣❡rt✉r❜❛çã♦ ❞❛ ❝♦✈❛r✐á✈❡❧ ❝♦♠ ❡ s❡♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✮✳ ❆♣❧✐❝❛♠♦s ♥♦ss♦s r❡s✉❧t❛❞♦s ❛ ❞♦✐s ❝♦♥✲ ❥✉♥t♦s ❞❡ ❞❛❞♦s r❡❛✐s ♣❛r❛ ❡①❡♠♣❧✐✜❝❛r ❛ t❡♦r✐❛ ❞❡s❡♥✈♦❧✈✐❞❛✳ ❋✐♥❛❧♠❡♥t❡✱ ❛♣r❡s❡♥t❛♠♦s ❛❧❣✉♠❛s ❝♦♥❝❧✉sõ❡s ❡ ♣♦ssí✈❡✐s tr❛❜❛❧❤♦s ❢✉t✉r♦s✳
P❛❧❛✈r❛s✲❝❤❛✈❡✿ ▼♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛✱ ♠♦❞❡❧♦ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✱ ❡st✐♠❛çã♦ ♣♦r ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛✱ ❡st✐♠❛çã♦ ♣♦r ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛✱ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦✱ ❛♥á❧✐s❡ ❞❡ ❞✐❛❣♥óst✐❝♦✳
❆❜str❛❝t
❇❡t❛ r❡❣r❡ss✐♦♥ ♠♦❞❡❧ ✇✐t❤ ♠❡❛s✉r❡♠❡♥t ❡rr♦r
■♥ t❤✐s t❤❡s✐s✱ ✇❡ ♣r♦♣♦s❡ ❛ ❜❡t❛ r❡❣r❡ss✐♦♥ ♠♦❞❡❧ ✇✐t❤ ♠❡❛s✉r❡♠❡♥t ❡rr♦r✳ ❆♠♦♥❣ ♥♦♥❧✐♥❡❛r ♠♦❞❡❧s ✇✐t❤ ♠❡❛s✉r❡♠❡♥t ❡rr♦r✱ s✉❝❤ ❛ ♠♦❞❡❧ ❤❛s ♥♦t ❜❡❡♥ st✉❞✐❡❞ ❡①t❡♥s✐✈❡❧②✳ ❍❡r❡✱ ✇❡ ❞✐s❝✉ss ❡st✐♠❛t✐♦♥ ♠❡t❤♦❞s s✉❝❤ ❛s ♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞✱ ♣s❡✉❞♦✲♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞✱ ❛♥❞ r❡❣r❡ss✐♦♥ ❝❛✲ ❧✐❜r❛t✐♦♥ ♠❡t❤♦❞s✳ ❚❤❡ ♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ♠❡t❤♦❞ ❡st✐♠❛t❡s ♣❛r❛♠❡t❡rs ❜② ❞✐r❡❝t❧② ♠❛①✐♠✐③✐♥❣ t❤❡ ❧♦❣❛r✐t❤♠ ♦❢ t❤❡ ❧✐❦❡❧✐❤♦♦❞ ❢✉♥❝t✐♦♥✳ ❚❤❡ ♣s❡✉❞♦✲♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ♠❡t❤♦❞ ✐s ✉s❡❞ ✇❤❡♥ t❤❡ ✐♥❢❡r❡♥❝❡ ✐♥ ❛ ❣✐✈❡♥ ♠♦❞❡❧ ✐♥✈♦❧✈❡s ♦♥❧② s♦♠❡ ❜✉t ♥♦t ❛❧❧ ♣❛r❛♠❡t❡rs✳ ❍❡♥❝❡✱ ✇❡ s❛② t❤❛t t❤❡ ♠♦❞❡❧ ✉♥❞❡r st✉❞② ♣r❡s❡♥ts ♣❛r❛♠❡t❡rs ♦❢ ✐♥t❡r❡st✱ ❛s ✇❡❧❧ ❛s ♥✉✐s❛♥❝❡ ♣❛r❛♠❡t❡rs✳ ❲❤❡♥ ✇❡ r❡♣❧❛❝❡ t❤❡ tr✉❡ ❝♦✈❛r✐❛t❡ ✭♦❜s❡r✈❡❞ ✈❛r✐❛❜❧❡✮ ✇✐t❤ ❝♦♥❞✐t✐♦♥❛❧ ❡st✐♠❛t❡s ♦❢ t❤❡ ✉♥♦❜s❡r✈❡❞ ✈❛r✐❛❜❧❡ ❣✐✈❡♥ t❤❡ ♦❜s❡r✈❡❞ ✈❛r✐❛❜❧❡✱ t❤❡ ♠❡t❤♦❞ ✐s ❦♥♦✇♥ ❛s r❡❣r❡ss✐♦♥ ❝❛❧✐❜r❛t✐♦♥✳ ❲❡ ❝♦♠♣❛r❡ t❤❡ ❛❢♦r❡♠❡♥t✐♦♥❡❞ ❡st✐♠❛t✐♦♥ ♠❡t❤♦❞s t❤r♦✉❣❤ ❛ ▼♦♥t❡ ❈❛r❧♦ s✐♠✉❧❛t✐♦♥ st✉❞②✳ ❚❤✐s s✐♠✉❧❛t✐♦♥ st✉❞② s❤♦✇s t❤❛t ♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ❛♥❞ ♣s❡✉❞♦✲♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ♠❡t❤♦❞s ♣❡r❢♦r♠ ❜❡tt❡r t❤❛♥ t❤❡ ❝❛❧✐❜r❛t✐♦♥ r❡❣r❡ss✐♦♥ ♠❡t❤♦❞ ❛♥❞ t❤❡ ♥❛ï✈❡ ❛♣♣r♦❛❝❤✳ ❲❡ ✉s❡ t❤❡ ♣r♦❣r❛♠♠✐♥❣ ❧❛♥❣✉❛❣❡Ox✭❉♦♦r♥✐❦✱ ✷✵✶✶✮ ❛s ❛ ❝♦♠♣✉t❛t✐♦♥❛❧ t♦♦❧✳
❲❡ ❝❛❧❝✉❧❛t❡ t❤❡ ❛s②♠♣t♦t✐❝ ❞✐str✐❜✉t✐♦♥ ♦❢ ❡st✐♠❛t♦rs ✐♥ ♦r❞❡r t♦ ❝❛❧❝✉❧❛t❡ ❝♦♥✜❞❡♥❝❡ ✐♥t❡r✲ ✈❛❧s ❛♥❞ t❡st ❤②♣♦t❤❡s❡s✱ ❛s ♣r♦♣♦s❡❞ ❜② ❈❛rr♦❧❧ ❡t ❛❧✳ ✭✷✵✵✻✱ ❙❡❝t✐♦♥ ❆✳✻✳✻✮✱ ●✉♦❧♦ ✭✷✵✶✶✮ ❛♥❞ ●♦♥❣ ❡ ❙❛♠❛♥✐❡❣♦ ✭✶✾✽✶✮✳ ▼♦r❡♦✈❡r✱ ✇❡ ✉s❡ t❤❡ ❧✐❦❡❧✐❤♦♦❞ r❛t✐♦ ❛♥❞ ❣r❛❞✐❡♥t st❛t✐st✐❝s t♦ t❡st ❤②✲ ♣♦t❤❡s❡s✳ ❲❡ ❝❛rr② ♦✉t ❛ s✐♠✉❧❛t✐♦♥ st✉❞② t♦ ❡✈❛❧✉❛t❡ t❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐❦❡❧✐❤♦♦❞ r❛t✐♦ ❛♥❞ ❣r❛❞✐❡♥t t❡sts✳
❲❡ ❞❡✈❡❧♦♣ ❞✐❛❣♥♦st✐❝ t❡sts ❢♦r t❤❡ ❜❡t❛ r❡❣r❡ss✐♦♥ ♠♦❞❡❧ ✇✐t❤ ♠❡❛s✉r❡♠❡♥t ❡rr♦r✳ ❲❡ ♣r♦♣♦s❡ ✇❡✐❣❤t❡❞ st❛♥❞❛r❞✐③❡❞ r❡s✐❞✉❛❧s ❛s ❞❡✜♥❡❞ ❜② ❊s♣✐♥❤❡✐r❛ ❡t ❛❧✳ ✭✷✵✵✽❜✮ t♦ ✈❡r✐❢② t❤❡ ❛ss✉♠♣t✐♦♥s ♠❛❞❡ ❢♦r t❤❡ ♠♦❞❡❧ ❛♥❞ t♦ ❞❡t❡❝t ♦✉t❧✐❡rs✳ ❚❤❡ ♠❡❛s✉r❡s ♦❢ ❣❧♦❜❛❧ ✐♥✢✉❡♥❝❡✱ s✉❝❤ ❛s t❤❡ ❣❡♥❡r❛❧✐③❡❞ ❈♦♦❦✬s ❞✐st❛♥❝❡ ❛♥❞ ❧✐❦❡❧✐❤♦♦❞ ❞✐st❛♥❝❡✱ ❛r❡ ✉s❡❞ t♦ ❞❡t❡❝t ✐♥✢✉❡♥t✐❛❧ ♣♦✐♥ts✳ ■♥ ❛❞❞✐t✐♦♥✱ ✇❡ ✉s❡ t❤❡ ❝♦♥❢♦r♠❛❧ ❛♣♣r♦❛❝❤ ❢♦r ❡✈❛❧✉❛t✐♥❣ ❧♦❝❛❧ ✐♥✢✉❡♥❝❡ ❢♦r t❤r❡❡ ♣❡rt✉r❜❛t✐♦♥ s❝❤❡♠❡s✿ ❝❛s❡✲✇❡✐❣❤t ♣❡rt✉r❜❛t✐♦♥✱ r❡s♣♦s❡ ✈❛r✐❛❜❧❡ ♣❡rt✉r❜❛t✐♦♥✱ ❛♥❞ ♣❡rt✉r❜❛t✐♦♥ ✐♥ t❤❡ ❝♦✈❛r✐❛t❡ ✇✐t❤ ❛♥❞ ✇✐t❤♦✉t ♠❡❛s✉r❡♠❡♥t ❡rr♦r✳ ❲❡ ❛♣♣❧② ♦✉r r❡s✉❧ts t♦ t✇♦ s❡ts ♦❢ r❡❛❧ ❞❛t❛ t♦ ✐❧❧✉str❛t❡ t❤❡ t❤❡♦r② ❞❡✈❡❧♦♣❡❞✳ ❋✐♥❛❧❧②✱ ✇❡ ♣r❡s❡♥t ♦✉r ❝♦♥❝❧✉s✐♦♥s ❛♥❞ ♣♦ss✐❜❧❡ ❢✉t✉r❡ ✇♦r❦✳
❑❡②✇♦r❞s✿ ❇❡t❛ r❡❣r❡ss✐♦♥ ♠♦❞❡❧✱ ♠❡❛s✉r❡♠❡♥t ❡rr♦r ♠♦❞❡❧✱ ♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ❡st✐♠❛t✐♦♥✱ ♣s❡✉❞♦✲♠❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ❡st✐♠❛t✐♦♥✱ r❡❣r❡ss✐♦♥ ❝❛❧✐❜r❛t✐♦♥✱ ❞✐❛❣♥♦st✐❝ ❛♥❛❧②s✐s✳
❙✉♠ár✐♦
▲✐st❛ ❞❡ ❋✐❣✉r❛s ①✐✐✐
▲✐st❛ ❞❡ ❚❛❜❡❧❛s ①✈
✶ ■♥tr♦❞✉çã♦ ✶
✶✳✶ ▼♦t✐✈❛çã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻ ✶✳✶✳✶ ▼♦t✐✈❛çã♦ ✶ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻ ✶✳✶✳✷ ▼♦t✐✈❛çã♦ ✷ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻ ✶✳✷ ❖❜❥❡t✐✈♦s ❞❛ t❡s❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼ ✶✳✸ ❖r❣❛♥✐③❛çã♦ ❞❛ t❡s❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽ ✶✳✹ ❙✉♣♦rt❡ ❝♦♠♣✉t❛❝✐♦♥❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽
✷ ▼♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛ ✶✶
✷✳✶ ▼♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✶ ✷✳✷ ❊st✐♠❛çã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✸ ✷✳✷✳✶ ❊st✐♠❛çã♦ ♣♦r ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✺ ✷✳✷✳✷ ❊st✐♠❛çã♦ ♣♦r ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✻ ✷✳✷✳✸ ❊st✐♠❛çã♦ ♣♦r ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✽ ✷✳✸ ❊st✉❞♦ ❞❡ s✐♠✉❧❛çã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✾ ✷✳✸✳✶ ❈❡♥ár✐♦ ✶ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✵ ✷✳✸✳✷ ❈❡♥ár✐♦ ✷ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✹ ✷✳✸✳✸ ❈❡♥ár✐♦ ✸ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✹ ✷✳✸✳✹ ❈❡♥ár✐♦ ✹ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✹ ✸ ❉✐str✐❜✉✐çõ❡s ❛ss✐♥tót✐❝❛s ❡ t❡st❡s ❞❡ ❤✐♣ót❡s❡s ✸✺ ✸✳✶ ❉✐str✐❜✉✐çõ❡s ❛ss✐♥tót✐❝❛s ❞♦s ❡st✐♠❛❞♦r❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✺ ✸✳✶✳✶ ▼á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✺ ✸✳✶✳✷ ▼á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✻ ✸✳✶✳✸ ❈❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✽ ✸✳✶✳✹ ❊st✉❞♦ ❞❡ s✐♠✉❧❛çã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✾ ✸✳✷ ❚❡st❡s ❞❡ ❤✐♣ót❡s❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✶ ✸✳✷✳✶ ❊st✉❞♦ ❞❡ s✐♠✉❧❛çã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✸
✹ ❆♥á❧✐s❡ ❞❡ ❞✐❛❣♥óst✐❝♦ ✹✼
✹✳✶ ■♥tr♦❞✉çã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✼ ✹✳✷ ❆♥á❧✐s❡ ❞❡ ❘❡sí❞✉♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✽ ✹✳✷✳✶ ❘❡sí❞✉♦s ♣♦♥❞❡r❛❞♦s ♣❛❞r♦♥✐③❛❞♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✽
① ❙❯▼➪❘■❖
✹✳✷✳✷ ❊♥✈❡❧♦♣❡ s✐♠✉❧❛❞♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✵ ✹✳✸ ❆♥á❧✐s❡ ❞❡ ✐♥✢✉ê♥❝✐❛ ❣❧♦❜❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✵ ✹✳✹ ❆♥á❧✐s❡ ❞❡ ✐♥✢✉ê♥❝✐❛ ❧♦❝❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✹ ✹✳✺ ■♥✢✉ê♥❝✐❛ ❧♦❝❛❧ ♥♦ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✽ ✹✳✺✳✶ P♦♥❞❡r❛çã♦ ❞❡ ❝❛s♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✽ ✹✳✺✳✷ P❡rt✉r❜❛çã♦ ❞❛ ✈❛r✐á✈❡❧ r❡s♣♦st❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✽ ✹✳✺✳✸ P❡rt✉r❜❛çã♦ ❞❡ ❝♦✈❛r✐á✈❡✐s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✾
✺ ❆♣❧✐❝❛çõ❡s ✻✶
✺✳✶ ❆♣❧✐❝❛çã♦ ■ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✶ ✺✳✷ ❆♣❧✐❝❛çã♦ ■■ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✾
✻ ❈♦♥s✐❞❡r❛çõ❡s ✜♥❛✐s ✽✸
✻✳✶ ❚r❛❜❛❧❤♦s ❢✉t✉r♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽✸
❆ ❆♣ê♥❞✐❝❡ ✽✺
❆✳✶ ◗✉❛❞r❛t✉r❛ ❞❡ ●❛✉ss✲❍❡r♠✐t❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽✺ ❆✳✷ ❱❡t♦r ❡s❝♦r❡ ❡ ♠❛tr✐③ ❞❡ ✐♥❢♦r♠❛çã♦ ♦❜s❡r✈❛❞❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽✼ ❆✳✷✳✶ ❱❡t♦r ❡s❝♦r❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽✼ ❆✳✷✳✷ ▼❛tr✐③ ❞❡ ✐♥❢♦r♠❛çã♦ ♦❜s❡r✈❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽✾ ❆✳✸ ❱❡t♦r ❡s❝♦r❡ ❡ ♠❛tr✐③ ❞❡ ✐♥❢♦r♠❛çã♦ ♦❜s❡r✈❛❞❛ r❡str✐t❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✾✺ ❆✳✸✳✶ ❱❡t♦r ❡s❝♦r❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✾✺ ❆✳✸✳✷ ▼❛tr✐③ ❞❡ ✐♥❢♦r♠❛çã♦ ♦❜s❡r✈❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✾✻ ❆✳✹ ▼ét♦❞♦ ❇♦♦tstr❛♣ ♥ã♦ ♣❛r❛♠étr✐❝♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✾✻
❇ ❆♣ê♥❞✐❝❡ ✾✾
❇✳✶ ❊st✐♠❛çã♦ ♣♦r ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✾✾ ❇✳✷ ❊st✐♠❛çã♦ ♣♦r ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✾✾ ❇✳✸ ❊st✐♠❛çã♦ ♣♦r ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✵ ❇✳✹ ▼❛tr✐③ ❞❡ ✈❛r✐â♥❝✐❛s ❡ ❝♦✈❛r✐â♥❝✐❛s ❞♦s ❡st✐♠❛❞♦r❡s ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦✲
①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✶ ❇✳✺ ▼❛tr✐③ ❞❡ ✈❛r✐â♥❝✐❛s ❡ ❝♦✈❛r✐â♥❝✐❛s ❞♦s ❡st✐♠❛❞♦r❡s ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛
❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✶ ❇✳✻ ▼❛tr✐③ ❞❡ ✈❛r✐â♥❝✐❛s ❡ ❝♦✈❛r✐â♥❝✐❛s ❞♦s ❡st✐♠❛❞♦r❡s ❞❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✳ ✳ ✳ ✶✵✸ ❇✳✼ ❘❡sí❞✉♦s ♣♦♥❞❡r❛❞♦s ♣❛❞r♦♥✐③❛❞♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✺ ❇✳✽ ❆♥á❧✐s❡ ❞❡ ✐♥✢✉ê♥❝✐❛ ❣❧♦❜❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✺ ❇✳✾ ❆♥á❧✐s❡ ❞❡ ✐♥✢✉ê♥❝✐❛ ❧♦❝❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✻ ❇✳✶✵ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✼ ❇✳✶✶ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ r❡str✐t❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✽ ❇✳✶✷ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✽ ❇✳✶✸ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ◆❛ï✈❡ ♦✉ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✾ ❇✳✶✹ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛✿ P♦♥❞❡r❛çã♦ ❞❡ ❝❛s♦s ✳ ✳ ✶✶✵ ❇✳✶✺ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛✿ P❡rt✉r❜❛çã♦ ❞❛ ✈❛r✐á✈❡❧
❙❯▼➪❘■❖ ①✐
❇✳✶✻ ▲♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛✿ P❡rt✉r❜❛❞❛ ❞❛ ✈❛r✐á✈❡❧ ♣r❡❞✐t♦r❛ ❝♦♠ ❡rr♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✶✶
▲✐st❛ ❞❡ ❋✐❣✉r❛s
✶✳✶ ●rá✜❝♦ ❞♦ ❢❛t♦r ❞❡ ❝❛r❣❛ ✈❡rs✉s log✭❝♦♥s✉♠♦✮ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼
✹✳✶ ●rá✜❝♦s ♥♦r♠❛✐s ❞❡ ♣r♦❜❛❜✐❧✐❞❛❞❡ ♣❛r❛ ♦s r❡sí❞✉♦s ♣♦♥❞❡r❛❞♦s ♣❛❞r♦♥✐③❛❞♦s ✷ ♦❜t✐✲ ❞♦s ✉t✐❧✐③❛♥❞♦ ♦ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ♣❛r❛ ❡st✐♠❛r ♦s ♣❛râ♠❡tr♦s ✳ ✳ ✳ ✺✶ ✹✳✷ ●rá✜❝♦s ♥♦r♠❛✐s ❞❡ ♣r♦❜❛❜✐❧✐❞❛❞❡ ♣❛r❛ ♦s r❡sí❞✉♦s ♣♦♥❞❡r❛❞♦s ♣❛❞r♦♥✐③❛❞♦s ✷ ♦❜t✐✲
❞♦s ✉t✐❧✐③❛♥❞♦ ♦ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ♣❛r❛ ❡st✐♠❛r ♦s ♣❛râ♠❡tr♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✷ ✹✳✸ ●rá✜❝♦s ♥♦r♠❛✐s ❞❡ ♣r♦❜❛❜✐❧✐❞❛❞❡ ♣❛r❛ ♦s r❡sí❞✉♦s ♣♦♥❞❡r❛❞♦s ♣❛❞r♦♥✐③❛❞♦s ✷ ♦❜t✐✲
❞♦s ✉t✐❧✐③❛♥❞♦ ♦ ♠ét♦❞♦ ❞❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ♣❛r❛ ❡st✐♠❛r ♦s ♣❛râ♠❡tr♦s ✳ ✳ ✳ ✺✸ ✺✳✶ ●rá✜❝♦ ❞♦ r❡sí❞✉♦ ♣♦♥❞❡r❛❞♦ ♣❛❞r♦♥✐③❛❞♦ ✈❡rs✉s ✭❛✮ í♥❞✐❝❡ ❞❛s ♦❜s❡r✈❛çõ❡s ❡ ✭❜✮
✈❛❧♦r❡s ♣r❡❞✐t♦s ❞❡ ①✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✹ ✺✳✷ ▼❡❞✐❞❛s ❞❡ ✐♥✢✉ê♥❝✐❛ ❣❧♦❜❛❧✱ ✭❛✮ ❞✐stâ♥❝✐❛ ❞❡ ❈♦♦❦ ❣❡♥❡r❛❧✐③❛❞♦ ❡ ✭❜✮ ❛❢❛st❛♠❡♥t♦
❞❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✺ ✺✳✸ ✭❛✮ ❆✉t♦✈❛❧♦r❡s ♥♦r♠❛❧✐③❛❞♦s ❡♠ ♠ó❞✉❧♦ ❝♦♠ ✈❛❧♦r❡s ❞❡ q✱ ✭❜✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à
❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✶✲✐♥✢✉❡♥t❡ ❡ ✭❝✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞❡ t♦❞♦s ♦s ❛✉t♦✈❡t♦r❡s✱m[q]j ♣❛r❛ ♦ ❡sq✉❡♠❛ ❞❡ ♣❡rt✉r❜❛çã♦ ❞❡ ❝❛s♦s✳ ✳ ✳ ✻✻ ✺✳✹ ✭❛✮ ❆✉t♦✈❛❧♦r❡s ♥♦r♠❛❧✐③❛❞♦s ❡♠ ♠ó❞✉❧♦ ❝♦♠ ✈❛❧♦r❡s ❞❡ q✱ ✭❜✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à
❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✶✲✐♥✢✉❡♥t❡ ❡ ✭❝✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞❡ t♦❞♦s ♦s ❛✉t♦✈❡t♦r❡s✱m[q]j ♣❛r❛ ♦ ❡sq✉❡♠❛ ❞❡ ♣❡rt✉r❜❛çã♦ ❞❛ ✈❛r✐á✈❡❧ r❡s♣♦st❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✼ ✺✳✺ ✭❛✮ ❆✉t♦✈❛❧♦r❡s ♥♦r♠❛❧✐③❛❞♦s ❡♠ ♠ó❞✉❧♦ ❝♦♠ ✈❛❧♦r❡s ❞❡ q✱ ✭❜✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à
❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✷✲✐♥✢✉❡♥t❡ ❡ ✭❝✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞❡ t♦❞♦s ♦s ❛✉t♦✈❡t♦r❡s✱m[q]j ♣❛r❛ ♦ ❡sq✉❡♠❛ ❞❡ ♣❡rt✉r❜❛çã♦ ❞❛ ✈❛r✐á✈❡❧ r❡s♣♦st❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✽ ✺✳✻ ●rá✜❝♦ ♥♦r♠❛❧ ❞❡ ♣r♦❜❛❜✐❧✐❞❛❞❡s ❝♦♠ ❡♥✈❡❧♦♣❡ s✐♠✉❧❛❞♦ ❝♦♠ ✭❛✮ ❞❛❞♦s ❝♦♠♣❧❡t♦s✱
✭❜✮ r❡t✐r❛♥❞♦ ❛ ♦❜s❡r✈❛çã♦♯✻✵ ❡ ✭❝✮ r❡t✐r❛♥❞♦ ❛s ♦❜s❡r✈❛çõ❡s♯✺ ❡♯✻✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✵
✺✳✼ ●rá✜❝♦ ❞❡ ❞✐s♣❡rsã♦ ❞♦ ❝♦❧❡st❡r♦❧ t♦t❛❧ ✭❈❚✮ ❡ ❝♦❧❡st❡r♦❧ r✉✐♠ ✭▲❉▲✮ ❛♠❜❛s ♠❡❞✐çõ❡s ❡♠mg/dl✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✷
✺✳✽ ●rá✜❝♦ ❞♦ r❡sí❞✉♦ ♣♦♥❞❡r❛❞♦ ♣❛❞r♦♥✐③❛❞♦ ✈❡rs✉s ✭❛✮ í♥❞✐❝❡ ❞❛s ♦❜s❡r✈❛çõ❡s ❡ ✭❜✮ ✈❛❧♦r❡s ❡st✐♠❛❞♦s ❞❡ ①✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✻ ✺✳✾ ▼❡❞✐❞❛s ❞❡ ✐♥✢✉ê♥❝✐❛ ❣❧♦❜❛❧✱ ✭❛✮ ❞✐stâ♥❝✐❛ ❞❡ ❈♦♦❦ ❣❡♥❡r❛❧✐③❛❞♦ ❡ ✭❜✮ ❛❢❛st❛♠❡♥t♦
❞❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✼
①✐✈ ▲■❙❚❆ ❉❊ ❋■●❯❘❆❙
✺✳✶✵ ✭❛✮ ❆✉t♦✈❛❧♦r❡s ♥♦r♠❛❧✐③❛❞♦s ❡♠ ♠ó❞✉❧♦ ❝♦♠ ✈❛❧♦r❡s ❞❡ q✱ ✭❜✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛
à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✶✲✐♥✢✉❡♥t❡✱ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✺✲✐♥✢✉❡♥t❡ ✭❝✮ ❡ ✭❞✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞❡ t♦❞♦s ♦s ❛✉t♦✈❡t♦r❡s✱m[q]j ♣❛r❛ ♦ ❡sq✉❡♠❛ ❞❡ ♣❡rt✉r❜❛çã♦ ❞❡ ❝❛s♦s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✽ ✺✳✶✶ ✭❛✮ ❆✉t♦✈❛❧♦r❡s ♥♦r♠❛❧✐③❛❞♦s ❡♠ ♠ó❞✉❧♦ ❝♦♠ ✈❛❧♦r❡s ❞❡ q✱ ✭❜✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛
à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✶✲✐♥✢✉❡♥t❡✱ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✺✲✐♥✢✉❡♥t❡ ✭❝✮ ❡ ✭❞✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞❡ t♦❞♦s ♦s ❛✉t♦✈❡t♦r❡s✱m[q]j ♣❛r❛ ♦ ❡sq✉❡♠❛ ❞❡ ♣❡rt✉r❜❛çã♦ ❞❡ ❝❛s♦s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✾ ✺✳✶✷ ✭❛✮ ❆✉t♦✈❛❧♦r❡s ♥♦r♠❛❧✐③❛❞♦s ❡♠ ♠ó❞✉❧♦ ❝♦♠ ✈❛❧♦r❡s ❞❡ q✱ ✭❜✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à
❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞♦ ❛✉t♦✈❡t♦r ✶✲✐♥✢✉❡♥t❡ ❡ ✭❝✮ ✐♥✢✉ê♥❝✐❛ ❞❡✈✐❞❛ à ❝♦♥tr✐❜✉✐çã♦ ❛❣r❡❣❛❞❛ ❞❡ t♦❞♦s ♦s ❛✉t♦✈❡t♦r❡s✱m[q]j ♣❛r❛ ♦ ❡sq✉❡♠❛ ❞❡ ♣❡rt✉r❜❛çã♦ ❞❡ ❝❛s♦s✳ ✳ ✳ ✽✵ ✺✳✶✸ ●rá✜❝♦s ❞❡ ❡♥✈❡❧♦♣❡ s✐♠✉❧❛❞♦ ♣❛r❛ ✭❛✮ t♦❞❛s ❛s ♦❜s❡r✈❛çõ❡s ❡ ✭❜✮ q✉❛♥❞♦ r❡t✐r❛♠♦s
❛ ♦❜s❡r✈❛çã♦♯163q✉❡ ❛♣r❡s❡♥t♦ ♠❛✐♦r ❞❡s✈✐♦ r❡❧❛t✐✈♦ ♣❡r❝❡♥t✉❛❧✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽✷
▲✐st❛ ❞❡ ❚❛❜❡❧❛s
✷✳✶ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛ ❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛ σ2
e❂✵✱✵✺✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β❂−✵✱✻✱ γ❂✷✱✺✱ λ❂✵✱✺✱
µx❂✷✱✺ ❡σ2x❂✷✱✼✳ ❈❡♥ár✐♦ ✶✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✶ ✷✳✷ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛
❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛ σ2
e❂✵✱✺✵✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β❂−✵✱✻✱ γ❂✷✱✺✱ λ❂✵✱✺✱
µx❂✷✱✺ ❡σ2x❂✷✱✼✳ ❈❡♥ár✐♦ ✶ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✷ ✷✳✸ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥✲
❝✐❛ ❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛ σ2
e❂✶✱✵✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β❂−✵✱✻✱ γ❂✷✱✺✱ λ❂✵✱✺✱
µx❂✷✱✺ ❡σ2x❂✷✱✼✳ ❈❡♥ár✐♦ ✶ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✸ ✷✳✹ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♥s✐❞❡r❛♥❞♦
três ré♣❧✐❝❛s ♣❛r❛ wt✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β❂−✵✱✻✱ γ❂✷✱✺✱ λ❂✵✱✺✱ µx❂✷✱✺✱
σx2❂✷✱✼ ❡ σe2❂✵✱✵✺✳ ❈❡♥ár✐♦ ✷ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✺
✷✳✺ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♥s✐❞❡r❛♥❞♦ três ré♣❧✐❝❛s ♣❛r❛ wt✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β❂−✵✱✻✱ γ❂✷✱✺✱ λ❂✵✱✺✱ µx❂✷✱✺✱
σx2❂✷✱✼ ❡ σe2❂✵✱✺✵✳ ❈❡♥ár✐♦ ✷ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✻
✷✳✻ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♥s✐❞❡r❛♥❞♦ três ré♣❧✐❝❛s ♣❛r❛ wt✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β❂−✵✱✻✱ γ❂✷✱✺✱ λ❂✵✱✺✱ µx❂✷✱✺✱
σx2❂✷✱✼ ❡ σe2❂✶✱✵✳ ❈❡♥ár✐♦ ✷ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✼
✷✳✼ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛ ❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛σ2e =✵✱✵✺ ❡ ❞✉❛s ❝♦✈❛r✐á✈❡✐s ♠❡❞✐❞❛s ❝♦♠ ❡rr♦✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱β1❂−✵✱✻✱β2=−✶✱✵✱ γ❂✷✱✺✱λ❂✵✱✺✱µx1=µx2❂✷✱✺ ❡σ2x1 =σx22❂✷✱✼✳ ❈❡♥ár✐♦ ✸ ✷✽
✷✳✽ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛ ❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛σe2❂✵✱✺✵ ❡ ❞✉❛s ❝♦✈❛r✐á✈❡✐s ♠❡❞✐❞❛s ❝♦♠ ❡rr♦✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β1 = −✵✱✻✱ β2 = −✶✱✵✱ γ❂✷✱✺✱ λ❂✵✱✺✱ µx1 = µx2❂✷✱✺ ❡ σx21 = σx22❂✷✱✼✳
❈❡♥ár✐♦ ✸ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✾ ✷✳✾ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛
❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛σe2 =✶✱✵ ❡ ❞✉❛s ❝♦✈❛r✐á✈❡✐s ♠❡❞✐❞❛s ❝♦♠ ❡rr♦✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α❂✷✱✵✱ β1 = −✵✱✻✱ β2 = −✶✱✵✱ γ =✷✱✺✱ λ❂✵✱✺✱ µx1 = µx2❂✷✱✺ ❡ σ2x1 = σx22❂✷✱✼✳
❈❡♥ár✐♦ ✸ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✵ ✷✳✶✵ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛
❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛σ2
e❂✵✱✵✺✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿α =✷✱✵✱ β =−✵✱✻✱ γ =✷✱✺✱ λ=✵✱✺✱
µx=✷✱✺ ❡ σx2❂✷✱✼✳ ❈❡♥ár✐♦ ✹ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✷ ✷✳✶✶ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛
❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛ σe2❂✵✱✺✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α =✷✱✵✱ β =−✵✱✻✱ γ =✷✱✺✱ λ=✵✱✺✱ µx=✷✱✺ ❡ σx2❂✷✱✼✳ ❈❡♥ár✐♦ ✹ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✸
①✈✐ ▲■❙❚❆ ❉❊ ❚❆❇❊▲❆❙
✷✳✶✷ ▼é❞✐❛✱ ❱✐és ❡ ❘❊◗▼ ❞❛s ❡st✐♠❛t✐✈❛s ❞❡ ▼♦♥t❡ ❈❛r❧♦ ❞♦s ♣❛râ♠❡tr♦s ❝♦♠ ✈❛r✐â♥❝✐❛ ❞♦ ❡rr♦ ❞❡ ♠❡❞✐❞❛ σ2
e❂✶✱✵✳ ❱❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s✿ α =✷✱✵✱ β =−✵✱✻✱ γ =✷✱✺✱ λ=✵✱✺✱
µx=✷✱✺ ❡ σx2❂✷✱✼✳ ❈❡♥ár✐♦ ✹ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✹ ✸✳✶ ❚❛①❛s ❞❡ ❝♦❜❡rt✉r❛ ❞♦s ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛✳ ▼ét♦❞♦ ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛
❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✵ ✸✳✷ ❚❛①❛s ❞❡ ❝♦❜❡rt✉r❛ ❞♦s ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛✳ ▼ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛
❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✵ ✸✳✸ ❚❛①❛s ❞❡ ❝♦❜❡rt✉r❛ ❞♦s ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛✳ ▼ét♦❞♦ ❞❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✹✶ ✸✳✹ ❚❛①❛s ❞❡ ❝♦❜❡rt✉r❛ ❞♦s ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛✳ ▼ét♦❞♦ ♥❛ï✈❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✶ ✸✳✺ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0:β = 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡✳
▼ét♦❞♦ ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✹ ✸✳✻ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0:β = 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡✳
▼ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✹ ✸✳✼ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0:β = 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡✳
▼ét♦❞♦ ❞❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✹ ✸✳✽ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0:β = 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡✳
▼ét♦❞♦ ♥❛ï✈❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✺ ✸✳✾ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜H0:λ= 0❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❣r❛❞✐❡♥t❡✱ ♥♦
♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✳ ▼ét♦❞♦ ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✺ ✸✳✶✵ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0 : λ = 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❣r❛❞✐✲
❡♥t❡✱ ♥♦ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✳ ▼ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❛♣r♦①✐♠❛❞❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✻ ✸✳✶✶ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0 :λ= 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❣r❛❞✐❡♥t❡✱
♥♦ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✳ ▼ét♦❞♦ ❞❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦ ✹✻ ✸✳✶✷ ❚❛①❛ ❞❡ r❡❥❡✐çã♦ s♦❜ H0 :λ= 0 ❞♦s t❡st❡s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❣r❛❞✐❡♥t❡✱
♥♦ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛✳ ▼ét♦❞♦ ♥❛ï✈❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✻ ✺✳✶ ▼❡❞✐❞❛s r❡s✉♠♦ ❞❛s ✈❛r✐á✈❡✐s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✶ ✺✳✷ ❊st✐♠❛t✐✈❛s ✭❊✮✱ ❡rr♦s ♣❛❞rã♦ ✭❊P✮✱ ♣✲✈❛❧♦r❡s ✭♣✮ ❡ ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛ ✭■❈✮ ❝♦♠
❝♦❡✜❝✐❡♥t❡ ❞❡ ❝♦♥✜❛♥ç❛ ❞❡ ✾✺✪ ♦❜t✐❞♦s ♣❡❧♦s ♠ét♦❞♦s ❞❛❞♦s ♥❛ ❙❡çã♦ ✷✳✷ ❡ ❜♦♦tstr❛♣✳ ✻✷ ✺✳✸ ❚❡st❡s ❞❡ H0 :λ= 0 ❜❛s❡❛❞♦s ♥❛s ❡st❛tíst✐❝❛s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐✲
❡♥t❡ ✭♣✲✈❛❧♦r❡s ❡♥tr❡ ♣❛rê♥t❡s❡s✮✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✸ ✺✳✹ ❊st✐♠❛t✐✈❛s ✭❊✮✱ ❡rr♦s ♣❛❞rã♦ ✭❊P✮✱ ♣✲✈❛❧♦r❡s ✭♣✮ ❡ ✐♥t❡r✈❛❧♦s ❞❡ ❝♦♥✜❛♥ç❛ ✭■❈✮ ❝♦♠
❝♦❡✜❝✐❡♥t❡ ❞❡ ❝♦♥✜❛♥ç❛ ❞❡ ✾✺✪ ♦❜t✐❞♦s ♣❡❧♦s ♠ét♦❞♦s ❞❛❞♦s ♥❛ ❙❡çã♦ ✷✳✷ ❡ ❜♦♦tstr❛♣ ❞♦ ♠♦❞❡❧♦ ❞❡ r❡❣r❡ssã♦ ❜❡t❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛ ❡ ❞✐s♣❡rsã♦ ❝♦♥st❛♥t❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✸ ✺✳✺ ❊st✐♠❛t✐✈❛s ✭❊✮✱ ❡rr♦s ♣❛❞rã♦ ✭❊P✮ ❡ ❞❡s✈✐♦ r❡❧❛t✐✈♦ ♣❡r❝❡♥t✉❛❧ ✭❉❘P✮ ♦❜t✐❞♦s ♣❡❧♦
♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✾ ✺✳✻ ▼❡❞✐❞❛s r❡s✉♠♦ ❞❛s ✈❛r✐á✈❡✐s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✷ ✺✳✼ ❊st✐♠❛t✐✈❛s ✭❊✮✱ ❡rr♦s ♣❛❞rã♦ ✭❊P✮✱ ✈❛❧♦r✲♣ ✭♣✮ ❡ ✐♥t❡r✈❛❧♦ ❞❡ ❝♦♥✜❛♥ç❛ ✭■❈✮ ♦❜t✐❞♦s
♣❡❧♦s ♠ét♦❞♦s ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✱ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❜♦♦tstr❛♣✳ ✳ ✳ ✳ ✼✹ ✺✳✽ ❚❡st❡s ❞❡ H0 :γ1 = 0 ♥❛s ❡st❛tíst✐❝❛s ❞❛ r❛③ã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛s ❡ ❣r❛❞✐❡♥t❡✱ ❡♠
▲■❙❚❆ ❉❊ ❚❆❇❊▲❆❙ ①✈✐✐
✺✳✾ ❊st✐♠❛t✐✈❛s ✭❊✮✱ ❡rr♦s ♣❛❞rã♦ ✭❊P✮✱ ♣✲✈❛❧♦r❡s ✭♣✮ ❡ ✐♥t❡r✈❛❧♦ ❞❡ ❝♦♥✜❛♥ç❛ ✭■❈✮ ♦❜t✐❞♦s ♣❡❧♦s ♠ét♦❞♦s ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✱ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❜♦♦tstr❛♣✳ ✳ ✳ ✳ ✼✺ ✺✳✶✵ ❊st✐♠❛t✐✈❛s ✭❊✮✱ ❡rr♦s ♣❛❞rã♦ ✭❊P✮ ❡ ❞❡s✈✐♦ r❡❧❛t✐✈♦ ♣❡r❝❡♥t✉❛❧ ✭❉❘P✮ ♦❜t✐❞♦s ♣❡❧♦
❈❛♣ít✉❧♦ ✶
■♥tr♦❞✉çã♦
❖s ♠♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ sã♦ ♠✉✐t♦ ✉t✐❧✐③❛❞♦s ❡♠ ❞✐✈❡rs❛s ár❡❛s ❞♦ ❝♦♥❤❡❝✐♠❡♥t♦✱ ❝♦♠♦ ♠❡❞✐✲ ❝✐♥❛✱ ❡❝♦♥♦♠✐❛✱ ❡♥❣❡♥❤❛r✐❛✱ ❡t❝✳✱ ❝♦♠ ♦ ♣r♦♣ós✐t♦ ❞❡ ❡①♣❧✐❝❛r ❛ ✈❛r✐❛❜✐❧✐❞❛❞❡ ❞❛ ✈❛r✐á✈❡❧ ❞❡ ✐♥t❡r❡ss❡ ✭✈❛r✐á✈❡❧ r❡s♣♦st❛✮ ❛tr❛✈és ❞❡ ✉♠❛ ❢✉♥çã♦ ❞❛s ✈❛r✐á✈❡✐s ❡①♣❧✐❝❛t✐✈❛s ✭♦✉ ❝♦✈❛r✐á✈❡✐s✮✳ ❊①✐st❡♠ ❞✐✲ ✈❡rs❛s ❝❧❛ss❡s ❞❡ ♠♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦✱ ❝♦♠♦ ♣♦r ❡①❡♠♣❧♦✱ ❧✐♥❡❛r❡s ♦✉ ♥ã♦ ❧✐♥❡❛r❡s✱ ❤♦♠♦❝❡❞ást✐❝♦s ♦✉ ❤❡t❡r♦❝❡❞ást✐❝♦s✱ ❝♦♠ ♦✉ s❡♠ ❡rr♦s ♥❛s ✈❛r✐á✈❡✐s✳ ❈❛❞❛ ❝❧❛ss❡ ❞❡ ♠♦❞❡❧♦s é ♠✉♥✐❞❛ ❞❡ s✉♣♦s✐✲ çõ❡s q✉❡ ❞❡✈❡♠ s❡r r❡s♣❡✐t❛❞❛s ❛ ✜♠ ❞❡ q✉❡ ♦ ♣r♦❝❡ss♦ ✐♥❢❡r❡♥❝✐❛❧ s❡❥❛ ❝♦❡r❡♥t❡✳ ◆❡st❡ tr❛❜❛❧❤♦ ♦❜❥❡t✐✈❛♠♦s ❡st✉❞❛r ✉♠❛ ❝❧❛ss❡ ❞❡ ♠♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ ♥ã♦ ❧✐♥❡❛r ❡♠ q✉❡ ❛ ✈❛r✐á✈❡❧ r❡s♣♦st❛ é ❝♦♥tí♥✉❛ ❡ r❡str✐t❛ ❛♦ ✐♥t❡r✈❛❧♦ ✭✵✱✶✮ ❡ ❡♠ q✉❡ ✉♠❛ ♦✉ ♠❛✐s ✈❛r✐á✈❡✐s ❡①♣❧✐❝❛t✐✈❛s ❛♣r❡s❡♥t❛♠ ❡rr♦s ❞❡ ♠❡❞✐çã♦✳
❖s ♠♦❞❡❧♦s ❝♦♠ ❡rr♦s ♥❛s ✈❛r✐á✈❡✐s sã♦ ✉t✐❧✐③❛❞♦s q✉❛♥❞♦ ❛s ❝♦✈❛r✐á✈❡✐s ♥ã♦ sã♦ ♦❜s❡r✈❛❞❛s ❞✐r❡t❛♠❡♥t❡ ♦✉ ❡stã♦ s✉❥❡✐t❛s ❛ ❡rr♦s ❞❡ ♠❡❞✐çã♦✳ ➱ ✐♠♣♦rt❛♥t❡ ❡♥❢❛t✐③❛r q✉❡✱ ♥❛ ❛✉sê♥❝✐❛ ❞❡st❛ s✉♣♦s✐çã♦✱ ♦❜t❡r❡♠♦s r❡s✉❧t❛❞♦s ✐♥❢❡r❡♥❝✐❛✐s ♥ã♦ ❝♦♥✜á✈❡✐s ✭❘♦s♥❡r ❡ ❙♣✐❡❣❡❧♠❛♥✱ ✶✾✽✾❀ ❙t❡❢❛♥s❦✐✱ ✶✾✽✺❀ ❙t❡❢❛♥s❦✐ ❡ ❈❛rr♦❧❧✱ ✶✾✽✺✮✳ ❆ss✐♠✱ ♣❛r❛ ❝♦♠♣r❡❡♥❞❡r♠♦s ♠❡❧❤♦r ❡♠ q✉❛✐s ❝✐r❝✉♥stâ♥❝✐❛s ❡st❛ s✉♣♦s✐çã♦ ❞❡✈❡ s❡r ❛❝r❡s❝❡♥t❛❞❛ ❛♦ ♠♦❞❡❧♦✱ ♠❡♥❝✐♦♥❛♠♦s ❛ s❡❣✉✐r ♦ ❡①❡♠♣❧♦ ✶✳✷✳✶ ❞❡ ❋✉❧❧❡r ✭✶✾✽✼✮✳ ◆❡ss❡ ❡①❡♠♣❧♦✱ ♦ ✐♥t❡r❡ss❡ é ❛✈❛❧✐❛r ♦ r❡♥❞✐♠❡♥t♦ ❞❛ ♣r♦❞✉çã♦ ❞❡ ❞❡t❡r♠✐♥❛❞♦ ❝❡r❡❛❧✱y✱ ❡♠ ❢✉♥çã♦
❞❛ ♣♦r❝❡♥t❛❣❡♠ ❞❡ ♥✐tr♦❣ê♥✐♦ ♥♦ s♦❧♦✱x✳ ❋♦r❛♠ ❝♦❧❡t❛❞❛s ✶✶ ❞✐❢❡r❡♥t❡s ❛♠♦str❛s ❞♦ s♦❧♦ ❞♦ ❡st❛❞♦
❞❡ ■♦✇❛ ♥♦s ❊st❛❞♦s ❯♥✐❞♦s ❡ ❧❡✈❛❞❛s ❛ ✉♠ ❧❛❜♦r❛tór✐♦ ♣❛r❛ s❡r❡♠ ❛♥❛❧✐s❛❞❛s q✉✐♠✐❝❛♠❡♥t❡✳ ❆♣❡s❛r ❞♦s ❝♦♥st❛♥t❡s ❛✈❛♥ç♦s t❡❝♥♦❧ó❣✐❝♦s✱ ♥ã♦ é r❡❛❧✐st❛ s✉♣♦r q✉❡ t❛❧ ❛♥á❧✐s❡ q✉í♠✐❝❛ ♥ã♦ ❡st❡❥❛ ❛ss♦❝✐❛❞❛ ❛ ❡rr♦s ❞❡ ♠❡❞✐çã♦✳
➱ ❝♦♠✉♠ ♥❛ ♣rát✐❝❛ ❡♥❝♦♥tr❛r ❡st❛ ❡ ♦✉tr❛s ❝✐r❝✉♥stâ♥❝✐❛s ♥❛s q✉❛✐s ♦s ❡rr♦s ❞❡ ♠❡❞✐çã♦ ♣♦❞❡♠ s❡r ❝♦♥s✐❞❡r❛❞♦s✱ ✈❡r✱ ♣♦r ❡①❡♠♣❧♦✱ ❋✉❧❧❡r ✭✶✾✽✼✮✱ ❈❤❡♥❣ ❡ ❱❛♥ ◆❡ss ✭✶✾✾✾✮✱ ❈❛rr♦❧❧ ❡t ❛❧✳ ✭✷✵✵✻✮ ❡ ❇✉♦♥❛❝❝♦rs✐ ✭✷✵✶✵✮✳ ❆❧❣✉♥s ❡①❡♠♣❧♦s ❞❡st❛s ❝✐r❝✉♥stâ♥❝✐❛s sã♦✿
• ❡♠ ♠ét♦❞♦s ❡ té❝♥✐❝❛s ❞❡ ❝♦❧❡t❛ ❞❡ ❞❛❞♦s✱ ❝♦♠♦ ❡♥tr❡✈✐st❛s ❡ q✉❡st✐♦♥ár✐♦s✱ ❡♥tr❡ ♦✉tr♦s✱ ♦s ❡rr♦s ♥❛s ✈❛r✐á✈❡✐s ♣♦❞❡♠ s❡r ♦❝❛s✐♦♥❛❞♦s ♣♦r ❞❡s♦♥❡st✐❞❛❞❡✱ ❝♦♥❢✉sã♦✱ ✐❣♥♦râ♥❝✐❛ ♦✉ ♣♦r ❢❛❧t❛ ❞❡ ❝✉✐❞❛❞♦❀
• ❡rr♦s ❝❛✉s❛❞♦s ♣❡❧❛ ✐♥❝❡rt❡③❛ ✐♥❡r❡♥t❡ ❛♦s ❡q✉✐♣❛♠❡♥t♦s ❞❡ ♠❡❞✐çã♦❀
• ❢❛❧❤❛s ♥♦s ❡q✉✐♣❛♠❡♥t♦s ♦❝❛s✐♦♥❛❞❛s ♣♦r ❞❡s❣❛st❡ ❞♦s ❝♦♠♣♦♥❡♥t❡s✱ ❢❛❧t❛ ❞❡ ❝❛❧✐❜r❛çã♦ ♦✉ ♣❡❧❛s ❝♦♥❞✐çõ❡s ❛♠❜✐❡♥t❛✐s✱ q✉❡ ❣❡r❛♠ ✈❛r✐❛❜✐❧✐❞❛❞❡ ❡♠ ✐♥str✉♠❡♥t♦s ❞❡ ❧❡✐t✉r❛❀
• ♣❡❧❛ ♦❜s❡r✈❛çã♦ ✐♥❞✐r❡t❛ ❞❡ ✉♠❛ ✈❛r✐á✈❡❧ ❝♦♥s✐❞❡r❛❞❛ ❝♦♠♦ s✉❜st✐t✉t❛❀ • ♣r♦❝❡ss❛♠❡♥t♦ ✐♥❛❞❡q✉❛❞♦ ❞❡ ❞❛❞♦s✳
✷ ■◆❚❘❖❉❯➬➹❖ ✶✳✵
◆❡st❛s ❝✐r❝✉♥stâ♥❝✐❛s✱ ♦s ♠♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ ❝♦♠ ❡rr♦s ♥❛s ✈❛r✐á✈❡✐s ✉s✉❛❧♠❡♥t❡ sã♦ ❞❡✜♥✐❞♦s ❡ ❡str✉t✉r❛❞♦s ❞❡ ♠♦❞♦ q✉❡ ❛ r❡s♣♦st❛ y s❡❥❛ ✉♠❛ ❢✉♥çã♦ ❞❡ ♣r❡❞✐t♦r❡s ♦✉ ❝♦✈❛r✐á✈❡✐s x ❝✉❥❛s
♠❡❞✐çõ❡s sã♦ ✐♠♣r❡❝✐s❛s✳ ❆ss✐♠✱ ♥♦ ❧✉❣❛r ❞♦ ✈❡r❞❛❞❡✐r♦ ✈❛❧♦r ❞❛ ✈❛r✐á✈❡❧ ♣r❡❞✐t♦r❛✱ x✱ ❝♦♥s✐❞❡r❛✲s❡
♦ ✈❛❧♦r ❞❡ ✉♠❛ ♦✉tr❛ ✈❛r✐á✈❡❧ ♣r❡❞✐t♦r❛✱ w✱ q✉❡ ❡stá ❛ss♦❝✐❛❞❛ ❛ ✉♠ ❡rr♦ ❞❡ ♠❡♥s✉r❛çã♦✳
❚rês ❢♦r♠❛s ❞❡ ♠♦❞❡❧❛❣❡♠ ♣♦❞❡♠ s❡r ❛❜♦r❞❛❞❛s ♣❛r❛ tr❛t❛r ♦ ♣r♦❜❧❡♠❛ ❞❡ ♠❡♥s✉r❛çã♦ ❞❡ ❝♦✈❛r✐á✈❡✐s ❝♦♠ ❡rr♦✳ ❆ ♣r✐♠❡✐r❛✱ ❡♠ q✉❡ ❝♦♥s✐❞❡r❛♠♦s ✉♠❛ ❞✐str✐❜✉✐çã♦ ❞❡ ♣r♦❜❛❜✐❧✐❞❛❞❡ ♣❛r❛ ❛s ❝♦✈❛r✐á✈❡✐s ♥ã♦ ♦❜s❡r✈❛❞❛s✱ é ❝❤❛♠❛❞❛ ❞❡ ♠♦❞❡❧♦ ❡str✉t✉r❛❧✳ ❆ s❡❣✉♥❞❛✱ ❡♠ q✉❡ ✈❛❧♦r❡s ❞❡s❝♦♥❤❡✲ ❝✐❞♦s ❞❡ x sã♦ ✈✐st♦s ❝♦♠♦ ♣❛râ♠❡tr♦s✱ é ❞❡♥♦♠✐♥❛❞❛ ❞❡ ♠♦❞❡❧♦ ❢✉♥❝✐♦♥❛❧✳ ❆ t❡r❝❡✐r❛✱ q✉❡ é ✉♠❛
❣❡♥❡r❛❧✐③❛çã♦ ❞♦s ♠♦❞❡❧♦s ❡str✉t✉r❛❧ ❡ ❢✉♥❝✐♦♥❛❧✱ é ❝♦♥❤❡❝✐❞❛ ❝♦♠♦ ♠♦❞❡❧♦ ✉❧tr❛❡str✉t✉r❛❧✳ ◆♦ ❡♥❢♦✲ q✉❡ ❢✉♥❝✐♦♥❛❧✱ ♦ ♥ú♠❡r♦ ❞❡ ♣❛râ♠❡tr♦s ❝r❡s❝❡ ❝♦♠ ♦ t❛♠❛♥❤♦ ❞❛ ❛♠♦str❛✳ ◆❡ss❡ ❝❛s♦✱ ❞✐③❡♠♦s q✉❡ ❤á ♣❛râ♠❡tr♦s ✐♥❝✐❞❡♥t❛✐s ♥♦ ♠♦❞❡❧♦✳ ❆s ❛❜♦r❞❛❣❡♥s ❡str✉t✉r❛❧ ❡ ❢✉♥❝✐♦♥❛❧✱ ❝♦♠♦ sã♦ ❝♦♥s✐❞❡r❛❞❛s ❡♠ ❑❡♥❞❛❧❧ ❡ ❙t✉❛rt ✭✷✵✵✾✮ ❡ ▼♦r❛♥ ✭✶✾✼✶✮✱ ❛♣r❡s❡♥t❛♠ ♣r♦❜❧❡♠❛s ❞❡ ✐❞❡♥t✐✜❝❛❜✐❧✐❞❛❞❡ ❡ ❞❡ ✈❡r♦✲ ss✐♠✐❧❤❛♥ç❛ ✐❧✐♠✐t❛❞❛✱ r❡s♣❡❝t✐✈❛♠❡♥t❡✱ ❛❧é♠ ❞❡ ♦✉tr♦s ♣r♦❜❧❡♠❛s t❡ór✐❝♦s ❡ ❝♦♠♣✉t❛❝✐♦♥❛✐s❀ ♠❛✐s ❞❡t❛❧❤❡s ♣♦❞❡♠ s❡r ❡♥❝♦♥tr❛❞♦s ❡♠ ❋✉❧❧❡r ✭✶✾✽✼✱ ❙❡çã♦ ✶✳✶✳✸✮✳ ❆ ❛❜♦r❞❛❣❡♠ ✉❧tr❛❡str✉t✉r❛❧ q✉❡ ❢♦✐ ♣r♦♣♦st❛ ♣♦r ❉♦❧❜② ✭✶✾✼✻✮ é ❝❛r❛❝t❡r✐③❛❞❛ ❝♦♠♦ ✉♠ ♠♦❞❡❧♦ ❡str✉t✉r❛❧ q✉❛♥❞♦ ❛s ❞✐str✐❜✉✐çõ❡s ❞❡ ♣r♦❜❛❜✐❧✐❞❛❞❡ ❞❛s ❝♦✈❛r✐á✈❡✐s ♥ã♦ ♦❜s❡r✈❛❞❛s ❛♣r❡s❡♥t❛♠ ♠é❞✐❛s ✐❣✉❛✐s ❛♦s ✈❡r❞❛❞❡✐r♦s ✈❛❧♦r❡s ❞❡ x✳ P♦r ♦✉tr♦ ❧❛❞♦✱ s❡ ❛ ✈❛r✐â♥❝✐❛ ❞♦ ✈❡r❞❛❞❡✐r♦ ✈❛❧♦r ❞❛ ❝♦✈❛r✐á✈❡❧ é ♥✉❧❛✱ ❡st❛ ❛❜♦r❞❛❣❡♠ é
❝❛r❛❝t❡r✐③❛❞❛ ❝♦♠♦ ♠♦❞❡❧♦ ❢✉♥❝✐♦♥❛❧✳
◆❡ss❛s três ❛❜♦r❞❛❣❡♥s ✉♠ ❞♦s ♦❜❥❡t✐✈♦s ❞❛ ❛♥á❧✐s❡ é ❡♥❝♦♥tr❛r ❡st✐♠❛❞♦r❡s ❝♦♥s✐st❡♥t❡s ♣❛r❛ ♦s ♣❛râ♠❡tr♦s ❞❡ ✐♥t❡r❡ss❡✳ ◆❛ ❧✐t❡r❛t✉r❛ ❡①✐st❡ ✉♠❛ ❣r❛♥❞❡ ✈❛r✐❡❞❛❞❡ ❞❡ té❝♥✐❝❛s q✉❡ ❝♦♥❞✉✲ ③❡♠ ❛ ❡st✐♠❛❞♦r❡s ❝♦♥s✐st❡♥t❡s ❡♠ ♠♦❞❡❧♦s ❧✐♥❡❛r❡s ❝♦♥s✐❞❡r❛♥❞♦ ✉♠❛ ❛❜♦r❞❛❣❡♠ ❡str✉t✉r❛❧ ♦✉ ❢✉♥❝✐♦♥❛❧✳ ❆❧❣✉♠❛s ❡♥✈♦❧✈❡♠ ❝♦rr❡çõ❡s ❡①♣❧í❝✐t❛s ♣❛r❛ ♦ ✈í❝✐♦ ❞♦s ❡st✐♠❛❞♦r❡s✱ ❡♥q✉❛♥t♦ ♦✉tr❛s ♣r♦♣õ❡♠ ❡st✐♠❛❞♦r❡s ❛❧t❡r♥❛t✐✈♦s s♦❜ ❝❡rt❛s s✉♣♦s✐çõ❡s ❝♦♠♦ ♠♦str❛♠ ❋✉❧❧❡r ✭✶✾✽✼✱ ❙❡çã♦ ✶✳✵✮ ❡ ❈❤❡♥❣ ❡ ❱❛♥ ◆❡ss ✭✶✾✾✾✱ ❙❡çã♦ ✹✳✵✮✳ P❛r❛ ♦ ❝❛s♦ ❞♦s ♠♦❞❡❧♦s ♥ã♦ ❧✐♥❡❛r❡s✱ ❛❧❣✉♥s ♠ét♦❞♦s ♣r♦✲ ♣♦st♦s sã♦ ❛♣r♦♣r✐❛❞♦s s♦♠❡♥t❡ ♣❛r❛ ❡st✐♠❛çã♦ ♥♦ ❡♥❢♦q✉❡ ❡str✉t✉r❛❧✱ ♣♦✐s r❡q✉❡r❡♠ ❝♦♥❤❡❝✐♠❡♥t♦ ❞❛ ❞✐str✐❜✉✐çã♦ ❝♦♥❞✐❝✐♦♥❛❧ ❞❡ x ❞❛❞♦ w ✭❈❛rr♦❧❧ ❡t ❛❧✳✱ ✷✵✵✻✱ ♣✳✻✺✮✳ ❊♥tr❡ ❡❧❡s ♣♦❞❡♠♦s ❝✐t❛r ❛
❡st✐♠❛çã♦ ♣❡❧♦s ♠ét♦❞♦s ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✱ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❡ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦✳ ❖ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛ ❞❡t❡r♠✐♥❛ ❛s ❡st✐♠❛t✐✈❛s ♠❛①✐♠✐③❛♥❞♦ ❞✐r❡✲ t❛♠❡♥t❡ ♦ ❧♦❣❛r✐t♠♦ ❞❛ ❢✉♥çã♦ ❞❡ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ ❖ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛✱ ♣r♦♣♦st♦ ♣♦r ●♦♥❣ ❡ ❙❛♠❛♥✐❡❣♦ ✭✶✾✽✶✮✱ é ✉t✐❧✐③❛❞♦ q✉❛♥❞♦ ❛ ✐♥❢❡rê♥❝✐❛ ❡♠ ✉♠ ❞❡t❡r♠✐♥❛❞♦ ♠♦✲ ❞❡❧♦ ❡♥✈♦❧✈❡ ❛♣❡♥❛s ❛❧❣✉♥s ♠❛s ♥ã♦ t♦❞♦s ♦s ♣❛râ♠❡tr♦s✱ ♦✉ s❡❥❛✱ q✉❛♥❞♦ ♦ ♠♦❞❡❧♦ ❛♣r❡s❡♥t❛ t❛♥t♦ ♣❛râ♠❡tr♦s ❞❡ ✐♥t❡r❡ss❡ ❝♦♠♦ t❛♠❜é♠ ❞❡ ♣❡rt✉r❜❛çã♦✳ ❈❛rr♦❧❧ ❡t ❛❧✳ ✭✶✾✾✸✮✱ ♣♦r ❡①❡♠♣❧♦✱ ❡st✉❞❛♠ ♦s ♠♦❞❡❧♦s ❞❡ r❡❣r❡ssã♦ ❧♦❣íst✐❝❛ ❝♦♠ ❡rr♦s ❞❡ ♠❡❞✐❞❛ ♥❛s ✈❛r✐á✈❡✐s ♣r❡❞✐t♦r❛s ❡ ✉s❛♠ ♦ ♠ét♦❞♦ ❞❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛✱ ●✉♦❧♦ ✭✷✵✶✶✮ ✉t✐❧✐③❛ ♦ ❛❧❣♦r✐t♠♦ ♥✉♠ér✐❝♦ ❊▼✲▼♦♥t❡ ❈❛r❧♦ ♣❛r❛ ❡st✐✲ ♠❛r ♦s ♣❛râ♠❡tr♦s ♣❡❧♦ ♠ét♦❞♦ ❞❡ ♠á①✐♠❛ ♣s❡✉❞♦✲✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ ❲❤✐tt❡♠♦r❡ ❡ ❑❡❧❧❡r ✭✶✾✽✽✮ ❡ ❆r♠str♦♥❣ ✭✶✾✽✺✮ ♣r♦♣õ❡♠ s✉❜st✐t✉✐r ❛ ✈❡r❞❛❞❡✐r❛ ❝♦✈❛r✐á✈❡❧ ♥ã♦ ♦❜s❡r✈❛❞❛✱x✱ ♣♦r ✉♠❛ ❡st✐♠❛t✐✈❛
❞❛ ❡s♣❡r❛♥ç❛ ❝♦♥❞✐❝✐♦♥❛❧ ❞❡x❞❛❞♦ w✱ ❊(x|w)✳ ❆♣ós ❛ s✉❜st✐t✉✐çã♦✱ ❛s ❡st✐♠❛t✐✈❛s ❞♦s ♣❛râ♠❡tr♦s
sã♦ ♦❜t✐❞❛s ♣♦r ❛❧❣✉♠ ♠ét♦❞♦ ❝♦♥✜á✈❡❧ ❝♦♠♦✱ ♣♦r ❡①❡♠♣❧♦✱ ♣♦r ♠á①✐♠❛ ✈❡r♦ss✐♠✐❧❤❛♥ç❛✳ P♦❞❡♠♦s ❝✐t❛r tr❛❜❛❧❤♦s ❝♦♠♦ ❈❛rr♦❧❧ ❡t ❛❧✳ ✭✷✵✵✻✮✱ ❋r❡❡❞♠❛♥ ❡t ❛❧✳ ✭✷✵✵✽✮✱ ❚❤✉rst♦♥ ❡t ❛❧✳ ✭✷✵✵✺✮✱ ●✉♦❧♦ ✭✷✵✶✶✮✱ ❡♥tr❡ ♦✉tr♦s✱ q✉❡ ✉t✐❧✐③❛♠ ❡st❛ ♠❡t♦❞♦❧♦❣✐❛✳ ❊st❡ ♠ét♦❞♦ é ❝♦♥❤❡❝✐❞♦ ❝♦♠♦ ❝❛❧✐❜r❛çã♦ ❞❛ r❡❣r❡ssã♦✳
