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elsewhere i) Find the conditional distribution of the likelihood function given the function of the sta ê=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

elsewhere i) Find the conditional distribution of the likelihood function given the function of the sta ê=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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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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: (0(1-0)*-1, (o, 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. B ii) Show whether or not X, is a consistent estimator of the parameter f(x; 0) = x = 1,2,3,... elsewhere
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: (0(1-0)*-1, (o, 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. B ii) Show whether or not X, is a consistent estimator of the parameter f(x; 0) = x = 1,2,3,... elsewhere
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