(al This question asks you to consider a Bayesian approach to inference about λ, the mortality rate in an exponential model for survival time. In order to take a Bayesian . Show that the gamma distri...
Question 1. Take a moment to convince yourself that the exponential and gamma distributions are exponential family models. Show that, if the data is exponentially distributed as above with a gamma prior q(0) Gamma(00,%) the posterior is again a gamma, and find the formula for the posterior parameters. (In other words, adapt the computation we performed in class for general exponential families to the specific case of the exponential/gamma model.) In detail: Ignore multiplicative constants and normalization terms, such as...