a. Which if these estimators are unbiased for 6? b. Among the unbiased estimators, which has the smallest variance?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Chapter1: Starting With Matlab
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topic: estimation

Suppose that Y1, Y2, Y3 denote a random sample from an exponential distribution with mean 6. Consider
the following five estimators of 0:
ô = Y1
Yı + Y2
Ô2 =
2Y, + Y2
2
3
ÔL = min(Y1, Y2, Ys)
ô, = Ý
a. Which if these estimators are unbiased for 0?
b. Among the unbiased estimators, which has the smallest variance?
Transcribed Image Text:Suppose that Y1, Y2, Y3 denote a random sample from an exponential distribution with mean 6. Consider the following five estimators of 0: ô = Y1 Yı + Y2 Ô2 = 2Y, + Y2 2 3 ÔL = min(Y1, Y2, Ys) ô, = Ý a. Which if these estimators are unbiased for 0? b. Among the unbiased estimators, which has the smallest variance?
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