Answered: If X1 and X2 are independent random…

If X1 and X2 are independent random variables hav-ing binomial distributions with the parameters θ and n1 and θ and n2, show that X1 + X2n1 + n2is a sufficient estimator of θ.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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If X1 and X2 are independent random variables hav-
ing binomial distributions with the parameters θ and n1

and θ and n2, show that X1 + X2
n1 + n2
is a sufficient estimator

of θ.

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