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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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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