t t str s t r r s ts
play

tt strs tr r - PDF document

tt strs tr r sts strs r t


  1. ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ❚❛❣❡ ❖st❡rs❡♥ ❆❞✈❛♥❝❡❞ ❍❡r❞ ▼❛♥❛❣❡♠❡♥t ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✶✴✸✵ ✶ ❇❛❝❦❣r♦✉♥❞ ✷ ❉❛t❛ ✸ ❉✉r❛t✐♦♥ ♦❢ ❱✐s✐ts ✹ ❇r❡❛❦ ✺ ❋r❡q✉❡♥❝② ♦❢ ❱✐s✐ts ✻ ❈♦♠❜✐♥✐♥❣ ❋r❡q✉❡♥❝② ❛♥❞ ❉✉r❛t✐♦♥ ♦❢ ❇♦❛r ❱✐s✐ts ✼ ❈♦♥❝❧✉s✐♦♥ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✷✴✸✵

  2. ❇❛❝❦❣r♦✉♥❞ ✶ • ❊✉r♦♣❡❛♥ ❧❡❣✐s❧❛t✐♦♥ • ✼✵ ✪ ♦❢ ❉❛♥✐s❤ s♦✇s ❛r❡ ❣r♦✉♣ ❤♦✉s❡❞ ✕ ❛ t❤✐r❞ ♦❢ t❤❡s❡ ❛r❡ ❢❡❞ ❜② ❊❙❋ • ◆♦♥ ♣r♦❞✉❝t✐✈❡ ❞❛② ❛r❡ ❡①♣❡♥s✐✈❡ • ▼❛♥✉❛❧ ♦❡str✉s ❞❡t❡❝t✐♦♥ ✐s ❞✐✣❝✉❧t ✇❤❡♥ s♦✇s ❛r❡ ❣r♦✉♣ ❤♦✉s❡❞ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✸✴✸✵ ❇❛❝❦❣r♦✉♥❞ ✷ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✹✴✸✵

  3. ❇❛❝❦❣r♦✉♥❞ ✸ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✺✴✸✵ P✉r♣♦s❡ ♦❢ ▼♦♥✐t♦r✐♥❣ ❱✐s✐ts t♦ ❛ ❇♦❛r • ▲❡ss ✇♦r❦ ✐♥♣✉t ❢♦r ❢❛r♠❡r • ❋❡✇❡r ♥♦♥ ♣r♦❞✉❝t✐✈❡ ❞❛②s ✲ ✐✳❡✳ ❧♦✇❡r ❝♦st ♣❡r r❡♣r♦❞✉❝t✐♦♥ ❝②❝❧❡ • ◆❡❡❞ ♦❢ ❛ ❞❡t❡❝t✐♦♥ ♠❡t❤♦❞ ✇✐t❤ s❤♦rt r❡s♣♦♥s❡ t✐♠❡ ✲ ✐♥ t✐♠❡ t♦ ✐♥s❡♠✐♥❛t❡ t❤❡ s♦✇ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✻✴✸✵

  4. ❘❛✇ ❉❛t❛ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✼✴✸✵ ❈❤❛r❛❝t❡r✐st✐❝s ♦❢ t❤❡ ❘❛✇ ❉❛t❛ • ❚❤❡ ❢r❡q✉❡♥❝② ♦❢ ✈✐s✐ts ✐♥❝r❡❛s❡s ❛r♦✉♥❞ ♦❡str✉s • ❚❤❡ ❞✉r❛t✐♦♥ ♦❢ s♦♠❡ ✈✐s✐t ❛r❡ ♣r♦❧♦♥❣❡❞ ❛r♦✉♥❞ ♦❡str✉s • ❚❤❡ ❞✉r❛t✐♦♥ ♦❢ ✈✐s✐ts s❡❡♠ t♦ ✈❛r② ♠♦r❡ ❛r♦✉♥❞ ♦❡str✉s • ■❢ t❤❡ ❞✉r❛t✐♦♥ ✐s ❛❝❝✉♠✉❧❛t❡❞ ♣❡r ❤♦✉r t❤❡ ❝❤❛♥❣❡ ✐s ♠♦r❡ ❞✐st✐♥❝t • ■❢ t❤❡ ❞✉r❛t✐♦♥ ✐s ❛❝❝✉♠✉❧❛t❡❞ ♣❡r ✻ ❤♦✉rs t❤❡ ♥✉♠❜❡r ♦❢ ♦❜s❡r✈❛t✐♦♥s ❞❡❝❧✐♥❡ st❡❡♣❧② • ◆❡❡❞ ♦❢ ❛ ❞❡t❡❝t✐♦♥ ♠❡t❤♦❞ t❤❛t ❝❛♥ ❞❡t❡❝t ❜♦t❤ t❤❡ ❝❤❛♥❣❡ ✐♥ ❞✉r❛t✐♦♥ ❛♥❞ ✐♥ ❢r❡q✉❡♥❝② ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✽✴✸✵

  5. ❖✈❡r✈✐❡✇ • ✸ ♣❛rts ✲ ❞✉r❛t✐♦♥✱ ❢r❡q✉❡♥❝② ❛♥❞ ❝♦♠❜✐♥❛t✐♦♥ • ❉✉r❛t✐♦♥ • ▼✉❧t✐♣r♦❝❡ss ❉▲▼ • ❉❡t❡❝t✐♦♥ ♠❡t❤♦❞✿ ❘❡❝♦❣♥✐③❡s ✧♣❛tt❡r♥s✧ • ❋r❡q✉❡♥❝② • ❉●▲▼ ✲ ❣❡♥❡r❛❧✐③❡❞ ❜❡❝❛✉s❡ ❢r❡q✉❡♥❝② ✐s P♦✐ss♦♥ ❞✐str✐❜✉t❡❞ • ❉❡t❡❝t✐♦♥ ♠❡t❤♦❞✿ ❘❡❝♦❣♥✐③❡s ♦✉t❧✐❡rs • ❈♦♠❜✐♥❛t✐♦♥ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✾✴✸✵ ❉❡✜♥✐t✐♦♥ ♦❢ t❤❡ ▼♦❞❡❧ ❉❡s❝r✐❜✐♥❣ ❉✉r❛t✐♦♥ • ❨ t ✐s t❤❡ ❧♦❣❛r✐t❤♠✐❝❛❧ tr❛♥s❢♦r♠❡❞ ❝✉♠✉❧❛t❡❞ s❡❝♦♥❞s ♥❡❛r t❤❡ ❜♦❛r ♣❡r ♦❜s❡r✈❛t✐♦♥ ❤♦✉r • t ❞❡♥♦t❡s t❤❡ ♦❜s❡r✈❛t✐♦♥ ❤♦✉r✳ ❍♦✉rs✱ ✇❤❡r❡ t❤❡ s♦✇ ❞✐❞ ♥♦t ✈✐s✐ts t❤❡ ❜♦❛r ❛r❡ ❡①❝❧✉❞❡❞ ❖❜s❡r✈❛t✐♦♥ ❡q✉❛t✐♦♥ : ❨ t = µ t + ✈ t , ✇❤❡r❡ ✈ t ∼ ◆ ( ✵ , ❱ ) ❙②st❡♠ ❡q✉❛t✐♦♥ : µ t = µ t − ✶ + ✇ t , ✇❤❡r❡ ✇ t ∼ ◆ ( ✵ , ❲ ) ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✶✵✴✸✵

  6. ❉❡✜♥✐t✐♦♥ ♦❢ t❤❡ ▼♦❞❡❧ ❉❡s❝r✐❜✐♥❣ ❉✉r❛t✐♦♥ • ❨ t ✐s t❤❡ ❧♦❣❛r✐t❤♠✐❝❛❧ tr❛♥s❢♦r♠❡❞ ❝✉♠✉❧❛t❡❞ s❡❝♦♥❞s ♥❡❛r t❤❡ ❜♦❛r ♣❡r ♦❜s❡r✈❛t✐♦♥ ❤♦✉r • t ❞❡♥♦t❡s t❤❡ ♦❜s❡r✈❛t✐♦♥ ❤♦✉r✳ ❍♦✉rs✱ ✇❤❡r❡ t❤❡ s♦✇ ❞✐❞ ♥♦t ✈✐s✐ts t❤❡ ❜♦❛r ❛r❡ ❡①❝❧✉❞❡❞ ❖❜s❡r✈❛t✐♦♥ ❡q✉❛t✐♦♥ : ❨ t = µ t + ✈ t , ✇❤❡r❡ ✈ t ∼ ◆ ( ✵ , ❱ ) ❙②st❡♠ ❡q✉❛t✐♦♥ : µ t = µ t − ✶ + ✇ t , ✇❤❡r❡ ✇ t ∼ ◆ ( ✵ , ❲ ) • ◆❇✿ ❆ ❉▲▼ ✜❧t❡rs r❛✇ ❞❛t❛ ✕ ♣r♦✈✐❞❡s ❛♥ ❡st✐♠❛t❡ ♦❢ t❤❡ ✉♥❞❡r❧②✐♥❣ ❧❡✈❡❧ ✭ µ t ✮ ❛♥❞ t❤❡ ✈❛r✐❛♥❝❡ ✭ ❱ ✮ ❜② ♠❡❛♥s ♦❢ ❛ ❑❛❧♠❛♥ ✜❧t❡r ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✶✵✴✸✵ ❚❤❡ ▼✉❧t✐♣r♦❝❡ss ❉▲▼ ✭❝❧❛ss ■■✮ • ■❞❡❛✿ ■♥st❡❛❞ ♦❢ ♦♥❡ ♠♦❞❡❧ ❤❛✈❡ ♠✉❧t✐♣❧❡ ♠♦❞❡❧s • ❆♣♣❧② ❛ ♠✐①t✉r❡ ♦❢ t❤❡ ♠♦❞❡❧s ✕ ♠✐①❡❞ s♦ t❤❛t t❤❡ ♠♦st ❛♣♣r♦♣r✐❛t❡ ♠♦❞❡❧ ✇❡✐❣❤s t❤❡ ♠♦st • ❈♦♥s✐❞❡r ♠♦❞❡❧ ❝♦♠❜✐♥❛t✐♦♥s ❛t t✐♠❡ t − ✷ t♦ t ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✶✶✴✸✵

  7. ❚❤❡ ▼✉❧t✐♣r♦❝❡ss ❉▲▼ ✭❝❧❛ss ■■✮ • ■❞❡❛✿ ■♥st❡❛❞ ♦❢ ♦♥❡ ♠♦❞❡❧ ❤❛✈❡ ♠✉❧t✐♣❧❡ ♠♦❞❡❧s • ❆♣♣❧② ❛ ♠✐①t✉r❡ ♦❢ t❤❡ ♠♦❞❡❧s ✕ ♠✐①❡❞ s♦ t❤❛t t❤❡ ♠♦st ❛♣♣r♦♣r✐❛t❡ ♠♦❞❡❧ ✇❡✐❣❤s t❤❡ ♠♦st • ❈♦♥s✐❞❡r ♠♦❞❡❧ ❝♦♠❜✐♥❛t✐♦♥s ❛t t✐♠❡ t − ✷ t♦ t • Pr❡s❡♥t ❝❛s❡✿ ✹ ♠♦❞❡❧s • ◆♦r♠❛❧ ♠♦❞❡❧ • ❖✉t❧✐❡r ♠♦❞❡❧ • ▲❡✈❡❧ s❤✐❢t ♠♦❞❡❧ • ❖❡str✉s ♠♦❞❡❧ • ✹ ♠♦❞❡❧s ❡♥t❛✐❧ ✻✹ ♠♦❞❡❧ ❝♦♠❜✐♥❛t✐♦♥s✱ ✇❤❡♥ ❝♦♥s✐❞❡r✐♥❣ t❤❡ ❧❛st t❤r❡❡ ♦❜s❡r✈❛t✐♦♥s ✭✹ ✸ = ✻✹✮ ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✶✶✴✸✵ ❯♣❞❛t✐♥❣ ❊q✉❛t✐♦♥s ♦❢ ❛ s✐♠♣❧❡ ▼✉❧t✐♣r♦❝❡ss ❉▲▼ ✲ ✶ • ❚❤❡ ♠♦❞❡❧ ❝♦♠❜✐♥❛t✐♦♥s ❛r❡ st❛t❡❞ ❜② ( ✐❥❦ ) = ( ▼ t − ✷ , ▼ t − ✶ , ▼ t ) • Pr✐♦r ❢♦r θ t ❛t t✐♠❡ t ❛ t ( ✐❥❦ ) = ♠ t − ✶ ( ✐❥ ) ❘ t ( ✐❥❦ ) = ❈ t − ✶ ( ✐❥ ) + ❲ t ( ❦ ) ❚❛❣❡ ❖st❡rs❡♥ ✖ ❉❡t❡❝t✐♦♥ ♦❢ ❖❡str✉s ❜② ▼♦♥✐t♦r✐♥❣ ❇♦❛r ❱✐s✐ts ✖ ✷✷✴✾ ✷✵✵✾ ❙❧✐❞❡ ✶✷✴✸✵

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend


More recommend