Let X1, X2, . . ., Xn be a random sample from a distribution with unknown mean

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Let X1, X2, . . ., Xn be a random sample from a distribution with unknown mean m and variance σ2. Show that the method of moments estimators for m and σ2 are, respectively, the sample mean and
= (1/n)E(X -X). s i=1

Note that S'2 = [(n €“ 1) / n] S'2 where S2 is the sample variance.

Distribution
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Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

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