# Question

If X1, X2, . . . , Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + · · · + Xn is a sufficient estimator of the parameter θ.

## Answer to relevant Questions

Show that the estimator of Exercise 10.5 is a sufficient estimator of the variance of a normal population with the known mean µ. Exercise 10.5 Show that is a minimum variance unbiased estimator of the mean µ of a normal ...Consider N independent random variables having identical binomial distributions with the parameters θ and n = 3. If no of them take on the value 0, n1 take on the value 1, n2 take on the value 2, and n3 take on the value 3, ...Given a random sample of size n from a Rayleigh population (see Exercise 6.20 on page 184), find an estimator for its parameter α by the method of maximum likelihood. If V1, V2, . . . , Vn1 and W1, W2, . . . , Wn2 are independent random samples of sizes n1 and n2 from normal populations with the means µ1 and µ2 and the common variance σ2, find maximum likelihood estimators for µ1, ...Certain radial tires had useful lives of 35,200, 41,000, 44,700, 38,600, and 41,500 miles. Assuming that these data can be looked upon as a random sample from an exponential population, use the estimator obtained in Exercise ...Post your question

0