6. Let X1,..., Xn be a random sample from the Gamma(3,0) distribution with 0 > 0, where the density is • • • 03 f(x|0) p
Posted: Fri Nov 26, 2021 8:39 am
6. Let X1,..., Xn be a random sample from the Gamma(3,0) distribution with 0 > 0, where the density is • • • 03 f(x|0) pre-te for x > 0. x . The prior distribution of 0 is exponential with rate ß. (a) Derive a (1 – a) credible interval for 0. Give the interval in terms of quantiles of a chi-square distribution. (b) Derive a (1 – a) credible interval for 1/0.