A certain type of electronic component has a lifetime X (in hours) with probability density function given by f (2) = e for x > 0. Find the maximum likelihood estimate of 0 given a random sample X1, X2, Xn. ... E = Suppose our random sample consisted of 120, 130, and 128 hours. What would be an appropriate estimate use for 0?

A certain type of electronic component has a lifetime X (in hours) with probability density function given by f (2) = e for x > 0. Find the maximum likelihood estimate of 0 given a random sample X1, X2, Xn. ... E = Suppose our random sample consisted of 120, 130, and 128 hours. What would be an appropriate estimate use for 0?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

10. A certain type of electronic component has a lifetime X (in hours) with probability density function given by
f (x) =D ze ㅎ
for æ > 0.
%3D
a) Find the maximum likelihood estimate of 0 given a random sample X1, X2, . .. , Xn.
MLE =
%3D
b) Suppose our random sample consisted of 120, 130, and 128 hours. What would be an appropriate estimate
to use for 0?
Estimate =
c) If I pointed out that this distribution was just a gamma distribution with a = 2 and A = , is your estimate
from part a) an unbiased estimate? Justify your answer.
yes or no:

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