Suppose that X1, X2, ..., Xn is a random sample with a probability lawP(x) = {0x,0Where 8 is an unknown parameter.si x = 1,2,3, 4;otherwiseA. Get an estimator of 0 by the method of the moments.B. Prove that the estimator is unbiased.

Let x be a discrete random variable and its probability mass function is given asHere θ is an…

Suppose that X1, X2, ..., Xn is a random sample with a probability law P(x) = {0x₁ 9x, six = si x = 1, 2, 3, 4; otherwise Where is an unknown parameter. A. Get an estimator of 8 by the method of the moments. B. Prove that the estimator is unbiased.

Suppose that X1, X2, ..., Xn is a random sample with a probability law P(x) = {0x₁ 9x, six = si x = 1, 2, 3, 4; otherwise Where is an unknown parameter. A. Get an estimator of 8 by the method of the moments. B. Prove that the estimator is unbiased.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 43CR

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Question

Suppose that X1, X2, ..., Xn is a random sample with a probability law
P(x) = {0x,
0
Where 8 is an unknown parameter.
si x = 1,2,3, 4;
otherwise
A. Get an estimator of 0 by the method of the moments.
B. Prove that the estimator is unbiased.

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