a01 2. (a) Assume Y₁, Y2,..., Ye are independent Poisson (ui). Let n = EY₁. Show=1Y = (Y₁, Y2,..., Y)'\n~ Multinomial(n, π),for i = 1,..., c.(b) Assume Y = (Y₁, Y2₁. Yc)'n Multinomial (n.) and n~ Poisson(₁+μ₂ +...+e), show that the unconditional distribution of Y is a product of independentPoisson distributions.where =(71, 72,..., Te)' with T₂ =fiμ1+₂+...+μc

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(a) Assume Y₁, Y2,..., Ye are independent Poisson(₁). Let n= Ei Yi. Show Y = (Y₁, Y2,...,Y)'n~ Multinomial(n, π), where = (1, 72,..., Te)' with T₁ = for i=1,..., c. (b) Assume Y = (Y₁, Y2,...,Y)'n~ Multinomial (n,r) and n~ Poisson (₁ + μ₂- ...+e), show that the unconditional distribution of Y is a product of independen Poisson distributions. Hi μ1+₂+...+c

(a) Assume Y₁, Y2,..., Ye are independent Poisson(₁). Let n= Ei Yi. Show Y = (Y₁, Y2,...,Y)'n~ Multinomial(n, π), where = (1, 72,..., Te)' with T₁ = for i=1,..., c. (b) Assume Y = (Y₁, Y2,...,Y)'n~ Multinomial (n,r) and n~ Poisson (₁ + μ₂- ...+e), show that the unconditional distribution of Y is a product of independen Poisson distributions. Hi μ1+₂+...+c

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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