# Question

Show that the mean of the posterior distribution of M given in Theorem 10.6 can be written as

That is, as a weighted mean of x and µ0, where

That is, as a weighted mean of x and µ0, where

## Answer to relevant Questions

If X has a Poisson distribution and the prior distribution of its parameter Λ(capital Greek lambda) is a gamma distribution with the parameters α and β, show that (a) The posterior distribution of given X = x is a gamma ...Among six measurements of the boiling point of a silicon compound, the size of the error was 0.07, 0.03, 0.14, 0.04, 0.08, and 0.03○C. Assuming that these data can be looked upon as a random sample from the population of ...The I.Q.’s of 10 teenagers belonging to one ethnic group are 98, 114, 105, 101, 123, 117, 106, 92, 110, and 108, whereas those of 6 teenagers belonging to another ethnic group are 122, 105, 99, 126, 114, and 108. Assuming ...Verify the result on page 318, which expresses T in terms of X1, X2, and Sp. A study of the annual growth of certain cacti showed that 64 of them, selected at random in a desert region, grew on the average 52.80 mm with a standard deviation of 4.5 mm. Construct a 99% confidence interval for the true ...Post your question

0