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Problem 4: Suppose X₁, X₂, ... is a sequence of i.i.d. random variables having the Poisson distribution with mean X. Let Ân = Xn (the n-th random variable). (a) Is Ân an unbiased estimator of X? Explain your answer. (b) Is Ân a consistent estimator of X? Explain your answer.

Problem 4: Suppose X₁, X₂, ... is a sequence of i.i.d. random variables having the Poisson distribution with mean X. Let Ân = Xn (the n-th random variable). (a) Is Ân an unbiased estimator of X? Explain your answer. (b) Is Ân a consistent estimator of X? Explain your answer.

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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Problem 4: Suppose X₁, X₂, ... is a sequence of i.i.d. random variables having the Poisson distribution with mean X. Let Ân = X₂ (the n-th random variable). (a) Is Ân an unbiased estimator of X? Explain your answer. (b) Is Ân a consistent estimator of X? Explain your answer.
Transcribed Image Text:Problem 4: Suppose X₁, X₂, ... is a sequence of i.i.d. random variables having the Poisson distribution with mean X. Let Ân = X₂ (the n-th random variable). (a) Is Ân an unbiased estimator of X? Explain your answer. (b) Is Ân a consistent estimator of X? Explain your answer.
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