Suppose we have two populations and samples of size m, n respectively, from each population. We know that the means in t

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Suppose We Have Two Populations And Samples Of Size M N Respectively From Each Population We Know That The Means In T 1 (44.94 KiB) Viewed 31 times

Suppose we have two populations and samples of size m, n respectively, from each population. We know that the means in the two populations are the same but the standard deviation in population 1 is twice that of population 2 ie 01 = 202. Consider an estimator of the common, unknown mean în = aX: + (1 – a)X2. For what values of a is the estimator unbiased? For given values of m, n find the minimum variance estimator of H.