a. Show the exponential distribution is a regular member of the exponential class. f(x) = (1/B)(ex/B) X>0 b. Find a complete and sufficient statistic for B. a. Find the maximum likelihood estimate for ß. Is the MLE a function of the complete and sufficient statistic?

a. Show the exponential distribution is a regular member of the exponential class. f(x) = (1/B)(ex/B) X>0 b. Find a complete and sufficient statistic for B. a. Find the maximum likelihood estimate for ß. Is the MLE a function of the complete and sufficient statistic?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a. Show the exponential distribution is a regular member of the exponential class.
f(x) = (1/B)(e-x/B)
X>0
b. Find a complete and sufficient statistic for B.
a.
Find the maximum likelihood estimate for ß. Is the MLE a function of the complete and sufficient
statistic?

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