For samples from normal populations, the variance of the sampling distri bution of s2, the unbiased estimator

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For samples from normal populations, the variance of the sampling distri¬

bution of s2, the unbiased estimator of cr2, is 2 cr4/(N — 1). Prove this, using the fact that the mean of a chi-square random variable is equal to the number of degrees of freedom. [Hint: Remember that the variance of the sampling distribution of s2 is equal to P[(s2)2] — (

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Statistics Probability Inference And Decision

ISBN: 9780030778056

1st Edition

Authors: Robert L. Winkler, William L. Hays

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