Let X1, .Xn (n > 3) be a r.s. from a population having a Poisson distribution with parameter A......In order to estimate the parameter A, we consider the two estimators:X1+X2+3x1....t X.......+ X.%3!then=nn+2If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L.%3Dis any of the aforementioned estimators an efficient one?Select one:a. non of them efficientb. both of themC.only A,d.only A

Name: Let X1, .Xn (n > 3) be a r.s. from a population having a Poisson dist
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Let X1, .Xn (n > 3) be a r.s. from a population having a Poisson distribution with parameter A......In order to estimate the parameter A, we consider the two estimators:X1+X2+3x1....t X.......+ X.%3!then=nn+2If we know that the Cramer-Rao lower boun

An estimator is said to be efficient if it is an unbiased estimator and attains the CRLB. So,…

Math

Probability

Let X1,..., Xn (n > 3) be a r.s. from a population having a Poisson distribution with parameter A. In order to estimate the parameter A, we consider the two estimators: X1+X2 + 3x, + . + Xn ....... ....... !! then in. n+2 If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L. is any of the aforementioned estimators an efficient one? Select one: a. non of them efficient b. both of them C. only A2 d. only A