a) Let X₁, X₂, X, be a random sample of size n from population X. Suppose that X has thefollowing probability mass function:f(x; 0) = {0(1(0 (1-0)*-1,x = 1,2,3,...elsewherei) 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

Answered: Image /qna-images/answer/599f74e5-b52a-40a1-a371-3070df91a4fd.jpg

Answered: i) Find the conditional distribution of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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