8 Let X have the negative binomial distribution f(x) = (+=¦)p²(1-p)¹ for x=r,r+1,... (a) Obtain the maximum likelihood estimator of p. (b) For one engineering application, it is best to use components with a superior finish. Suppose X = 27 identical components are inspected, one at a time, before the r = 3rd component with superior finish is found. Find the maximum likelihood esti- mate of the probability that a component will have a superior finish.
8 Let X have the negative binomial distribution f(x) = (+=¦)p²(1-p)¹ for x=r,r+1,... (a) Obtain the maximum likelihood estimator of p. (b) For one engineering application, it is best to use components with a superior finish. Suppose X = 27 identical components are inspected, one at a time, before the r = 3rd component with superior finish is found. Find the maximum likelihood esti- mate of the probability that a component will have a superior finish.
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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