Recall that an exponential () random variable X has E[X] = 1/, Var[X] = 1/ 2 .
Question:
Recall that an exponential (λ) random variable X has
E[X] = 1/λ,
Var[X] = 1/λ2.
Thus, to estimate λ from n independent samples X1, . . ., Xn, either of the following techniques should work.
(a) Calculate the sample mean Mn(X) and form the estimate 
(b) Calculate the unbiased variance estimate Vʹn(X) of Theorem 10.13 and form the estimate ![Recall that an exponential (λ) random variable X has
E[X] =](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1542/8/8/9/7715bf6a12b243861542889770232.jpg){kind=small}
Use MATLAB to estimate the calculation λ and λ for m = 1000 experimental trials to determine which estimate is better.
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Step by Step Answer:
First we need to determine whether the relative performance of the two estimators depends on the actual value of To address this we observe that if Y ...View the full answer
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Related Book For 
Probability and Stochastic Processes A Friendly Introduction for Electrical and Computer Engineers
ISBN: 978-1118324561
3rd edition
Authors: Roy D. Yates, David J. Goodman
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