Let Y1, Y2, ..., Yn be a random sample with E(Y;) = µ and V (Y;) = o². Show that(Yi -is a biased estimator for o² and that(Y; – Y)²is an unbiased estimator for o².

E(S2) = (n-1/n)* sigma2 =! Sigma2 So it is biased estimator for sigma2

Answered: Let Y1, Y2, ..., Y, be a random sample…

Let Y1, Y2, ..., Y, be a random sample with E(Y,) = µ and V (Y,) = o². Show that is a biased estimator for o? and that is an unbiased estimator for o².

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.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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Let Y1, Y2, ..., Yn be a random sample with E(Y;) = µ and V (Y;) = o². Show that
(Yi -
is a biased estimator for o² and that
(Y; – Y)²
is an unbiased estimator for o².

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