Let y 1 , y 2 , y 3 be a random sample from an exponential distribution with mean , i e , E (y i ) , i 1, 2, 3 Consider three estimators of a Show that all three estimators are unbiased b Which of the estimators has the smallest variance Recall that, for an exponential distribution, V(y i ) 2 y1 y2...

To determine whether the three estimators are unbiased we need to check if their expected values equ ...

Let y 1 , y 2 , y 3 be a random sample from an exponential distribution

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Let y₁, y₂, y₃ be a random sample from an exponential distribution with mean θ, i.e., E (y_i) = θ, i = 1, 2, 3. Consider three estimators of θ:

a. Show that all three estimators are unbiased.

b. Which of the estimators has the smallest variance? Recall that, for an exponential distribution, V(y_i) = θ².

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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Question Posted: May 17, 2021 07:55 AM

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Let y 1 , y 2 , y 3 be a random sample from an exponential distribution

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y1 + y2 02 = yı %3D 2

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