Suppose that the vector x (x, y, z) has a trinomial distribution depending on the index n and the parameter ( , p, ), where p 1, that is Show that this distribution is in the two parameter exponential family p(x ) n x y z p (x y z n) ...

To show that the trinomial distribution specified by the given probability mass function is in the t ...

Suppose that the vector x = (x, y, z) has a trinomial distribution depending on the index

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Suppose that the vector x = (x, y, z) has a trinomial distribution depending on the index n and the parameter π = (π , p, σ), where π + p + σ = 1, that is

p(x|) n! x!y!z! -*p (x+y+z= n).

Show that this distribution is in the two-parameter exponential family.

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Bayesian Statistics An Introduction

ISBN: 9781118332573

4th Edition

Authors: Peter M. Lee

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Question Posted: Nov 28, 2023 04:21 AM

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Suppose that the vector x = (x, y, z) has a trinomial distribution depending on the index

Question:

p(x|π) n! x!y!z! -π*p³σ² (x+y+z= n).

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To show that the trinomial distribution specified by the given probability mass function is in the t...View the full answer

Bayesian Statistics An Introduction

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