# Question: Given a random sample of size n from a gamma

Given a random sample of size n from a gamma population with the known parameter α, find the maximum likelihood estimator for

(a) β;

(b) t = (2β – 1) 2.

(a) β;

(b) t = (2β – 1) 2.

## Answer to relevant Questions

Show that X + 1 / n + 2 is a biased estimator of the binomial parameter θ. Is this estimator asymptotically unbiased? Making use of the results of Exercise 6.29 on page 184, show that the mean of the posterior distribution of Θ given on page 304 can be written as That is, as a weighted mean of x/n and θ0, where θ0 and σ20 are the mean ...The size of an animal population is sometimes estimated by the capture-recapture method. In this method, n1 of the animals are captured in the area under consideration, tagged, and released. Later, n2 of the animals are ...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 ...By solving For θ, Show that Are (1 – α) 100% confidence limits for θ.Post your question