Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 2, Problem 5E
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please give correct answer of this statistics and probability question.
Could you please help me answer parts b and c. Thanks
Suppose that we have data y = (1,...,n). Each data point y; is assumed to be generated by a distribution with the following probability density function: P(yi | n)=3nye, y; ≥0. The unknown parameter is >0. (a) Write down the likelihood for n given y, and find an expression for the maximum likelihood estimate (MLE) of n. (b) A Gamma(a, 3) distribution is chosen as the prior distribution for 7, where a > 0 and > 0 are known. Show that the posterior distribution of n, denoted p(n | A), is also a gamma distribution with updated parameters that you should determine.
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