Explain minimum variance unbiased estimation with example. Yn be a random sample from a population with mean u and 31. Let yı, y2 n variance oʻ. Show that among all linear combinations Eay, which are i= 1 unbiased estimators of u, the sample mean y has the smallest variance.

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31.
Explain minimum variance unbiased estimation with example.
Let yı, y2, ..., Yn be a random sample from a population with mean µ and
variance oʻ. Show that among all linear combinations Eay, which are
i = 1
unbiased estimators of µ, thè sample mean y has the smallest variance.
Transcribed Image Text:31. Explain minimum variance unbiased estimation with example. Let yı, y2, ..., Yn be a random sample from a population with mean µ and variance oʻ. Show that among all linear combinations Eay, which are i = 1 unbiased estimators of µ, thè sample mean y has the smallest variance.
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