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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Suppose that we have data y = (y₁,..., yn). Each data-point is assumed to be generated by a
distribution with the following probability density function:
p(y; | 4) = 24y; exp(-4y?), y¡ ≥ 0, i = 1,...,n.
The unknown parameter is , with > 0.
A Gamma(a,ß) distribution is chosen as the prior distribution for . Derive the
resulting posterior distribution for given y.

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