MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose Y1,.,Yn are independent random variables with
probability mass function
f(y) = p"(1 – p)*-", y = 0,1.
Here, p E (0, 1), but unknown.
Suppose Y = Lisi is the sample mean. Then, show that the Maximum
Likelihood Estimator (MLE) of p is p = Y.
What is the V(Y)? Now, give the MLE of V(Y).
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Transcribed Image Text:Suppose Y1,.,Yn are independent random variables with probability mass function f(y) = p"(1 – p)*-", y = 0,1. Here, p E (0, 1), but unknown. Suppose Y = Lisi is the sample mean. Then, show that the Maximum Likelihood Estimator (MLE) of p is p = Y. What is the V(Y)? Now, give the MLE of V(Y).
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