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Find the Bayes estimator of the rate of a Poisson distribution

This example illustrates how to find the Bayes estimator, under squared error loss function, of the rate of a Poisson distribution if the prior distribution on the rate is a gamma distribution.

From  Jane Harvill 233 plays 0  

Illustrate Finding the Joint PDF of Sample from Exponential Family

An example to illustrate how to find the joint probability density function of a random sample from a gamma distribution using the result that the gamma family of distributions is an exponential…

From  Jane Harvill 103 plays 0  

Show gamma family of PDFs is an exponential family

Example to show that the gamma family of PDFs is an exponential family

From  Jane Harvill 1,046 plays 0  

Gamma Distribution

The gamma family of distributions is a very special family that has many distributions as a specific case. In this lesson, we begin with the gamma function. We then introduce the gamma…

From  Jane Harvill 258 plays 0