Question
Let be an i.i.d sample of size n from a population with Poisson distribution Poisson(. For simplicity, assume that the sample size is even, i.e.,n=2k
Let be an i.i.d sample of size n from a population with Poisson distribution Poisson(. For simplicity, assume that the sample size is even, i.e.,n=2k for some integer k.
Show that the gamma distribution belongs to the exponential family of distributions. Find sufficient statistics for and , the parameters of the gamma distribution.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Social And Economic Networks
Authors: Matthew O Jackson
1st Edition
140083399X, 9781400833993
