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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Question

Let (x1, x2, · · · , xn) be i.i.d. samples of a random variable X with probability density function fX(x) = λxe−λx^(2)/2 for x ≥ 0. Find the maximum likelihood estimator of λ. 

Steps:
Find likelihood function

Find log likelihood

Find derivate

Equate to 0

Find 2nd derivative and proof its < 0 to proof it's maximum likelihood

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