Let X and Y be independent random variables with X - Bin(n, 8) Y - Bin(n, 8). Let P denote the collection of joint distributions of X and Y as 0 varies. Find a minimal sufficient statistic for P. Is the statistic complete? If yes prove it; if not, find a nontrivial function g(-) such that Eo(g(T)) = 0.
Let X and Y be independent random variables with X - Bin(n, 8) Y - Bin(n, 8). Let P denote the collection of joint distributions of X and Y as 0 varies. Find a minimal sufficient statistic for P. Is the statistic complete? If yes prove it; if not, find a nontrivial function g(-) such that Eo(g(T)) = 0.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Let X and Y be independent random variables with
X - Bin(n, 8)
Y - Bin(n, 8).
Let P denote the collection of joint distributions of X and Y as 0 varies. Find a minimal
sufficient statistic for P. Is the statistic complete? If yes prove it; if not, find a nontrivial
function g(-) such that Eo(g(T)) = 0.
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