show that x(bar ) is a sufficient estimator of the population mean of normal population with known population variance .

Question

anonymous · Answer

@Valpey  ps help

anonymous · Answer

@Zarkon  pls help

zarkon · Answer

factorization theorem.

anonymous · Answer

what do we factorize ,the mgf or the main function?

zarkon · Answer

the joint distribution of $X_1,X_2,\ldots,X_n$
where the $X_i$ are independent normal($\mu,\sigma^2$) random variables

anonymous · Answer

does it mean that i must find the maximum likelihood function for normal first?

zarkon · Answer

the joint distribution is just the product of the individual distributions since you have independence.  (the likelihood function)

anonymous · Answer

do you mean the product of MGF?

anonymous · Answer

i realy don't understand this question can u pls show me atleast 3 steps