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to, elsewhere i) Find the conditional distribution of the likelihood function given the function of the statistic, Ô = ₁X₁. Hint: Apply ƒ(L(0)|g(Ô, 0)). ii) Based on i) above, is = 1 X₁ a sufficient statistic? Justify your answer.

to, elsewhere i) Find the conditional distribution of the likelihood function given the function of the statistic, Ô = ₁X₁. Hint: Apply ƒ(L(0)|g(Ô, 0)). ii) Based on i) above, is = 1 X₁ a sufficient statistic? Justify your answer.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1.STATISTICAL INFERENCE

a) Let X₁, X2,..., Xn be a random sample of size n from population X. Suppose that X has the following probability mass function: x = 1,2,3,... elsewhere f (x; 0) = {0 (1 - 0)*-1, i) Find the conditional distribution of the likelihood function given the function of the statistic, Ô = ₁ X₁. Hint: Apply ƒ(L(0)|g(Ô, 0)). ii) Based on i) above, is Ô = Σ₁ X₁ a sufficient statistic? Justify your answer. n
Transcribed Image Text:a) Let X₁, X2,..., Xn be a random sample of size n from population X. Suppose that X has the following probability mass function: x = 1,2,3,... elsewhere f (x; 0) = {0 (1 - 0)*-1, i) Find the conditional distribution of the likelihood function given the function of the statistic, Ô = ₁ X₁. Hint: Apply ƒ(L(0)|g(Ô, 0)). ii) Based on i) above, is Ô = Σ₁ X₁ a sufficient statistic? Justify your answer. n
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