Solution Found!
Show that 3n i=1 Xi and n i=1 Xi are sufficient statistics
Chapter , Problem 72(choose chapter or problem)
QUESTION:
Show that \(\prod_{i=1}^{n} X_{i} \text { and } \sum_{i=1}^{n} X_{i}\) are sufficient statistics for the gamma distribution.
Questions & Answers
QUESTION:
Show that \(\prod_{i=1}^{n} X_{i} \text { and } \sum_{i=1}^{n} X_{i}\) are sufficient statistics for the gamma distribution.
ANSWER:Step 1 of 2
The general expression for the density of Gamma distribution expresses as;
;
Simplify the expression of density of gamma distribution;