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elsewhere Find the conditional distribution of the likelihood function given the function of the statistic, Ô = [₁ X₁. Hint: Apply ƒ(L(0)|g(ê,0)). Based on i) above, is Ô = Σ₁ X; a sufficient statistic? Justify your answer. Show whether or not X, is a consistent estimator of the parameter.

elsewhere Find the conditional distribution of the likelihood function given the function of the statistic, Ô = [₁ X₁. Hint: Apply ƒ(L(0)|g(ê,0)). Based on i) above, is Ô = Σ₁ X; a sufficient statistic? Justify your answer. Show whether or not X, is a consistent estimator of the parameter.

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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a) Let X₁, X₂, ..., Xn be a random sample of size n from population X. Suppose that X has the following probability mass function: f(x; 0) = (0(1 – 0)×−¹, x = 1,2,3,... = (0, elsewhere Find the conditional distribution of the likelihood function given the function of the statistic, Ô = Σ₁ X¡. Hint: Apply ƒ(L(0)|g(Ô,0)). i=1 Based on i) above, is Ô = Σ₁ X; a sufficient statistic? Justify your answer. Show whether or not >, is a consistent estimator of the parameter
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: f(x; 0) = (0(1 – 0)×−¹, x = 1,2,3,... = (0, elsewhere Find the conditional distribution of the likelihood function given the function of the statistic, Ô = Σ₁ X¡. Hint: Apply ƒ(L(0)|g(Ô,0)). i=1 Based on i) above, is Ô = Σ₁ X; a sufficient statistic? Justify your answer. Show whether or not >, is a consistent estimator of the parameter
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