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i) Find the conditional distribution of the likelihood function given the function of the statistic, 6 = ₁X₁. Hint: Apply f(L(0)|g(8,0)). ii) Based on i) above, is = 1X a sufficient statistic? Justify your answer. iii) Show whether or not X, is a consistent estimator of the parameter

i) Find the conditional distribution of the likelihood function given the function of the statistic, 6 = ₁X₁. Hint: Apply f(L(0)|g(8,0)). ii) Based on i) above, is = 1X a sufficient statistic? Justify your answer. iii) 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, X, 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 (1-0)*-1, x = 1,2,3,... elsewhere i) Find the conditional distribution of the likelihood function given the function of the statistic, 6 = 1X₁. Hint: Apply f(L(0)|g(0,0)). ii) Based on i) above, is = 1X₁ a sufficient statistic? Justify your answer. iii) Show whether or not X, is a consistent estimator of the parameter
Transcribed Image Text:a) Let X₁, X₂, X, 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 (1-0)*-1, x = 1,2,3,... elsewhere i) Find the conditional distribution of the likelihood function given the function of the statistic, 6 = 1X₁. Hint: Apply f(L(0)|g(0,0)). ii) Based on i) above, is = 1X₁ a sufficient statistic? Justify your answer. iii) Show whether or not X, is a consistent estimator of the parameter
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