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What is Beta Distribution Testing Problems about?

This document provides solutions to several statistical inference qualifying exam problems involving sufficient statistics. The solutions show that: 1) For iid Poisson(λ) random variables X1 and X2, the statistic T = X1 + 2X2 is not sufficient for the parameter λ, as it is not a function of the minimal sufficient statistic. 2) For iid beta(θ,θ) random variables X1,...,Xn, the statistic Σlog(Xi) + log(1- Xi) is a complete minimal sufficient statistic for the parameter θ. 3) For iid uniform(θ, θ + 1) ra

Author

Liban Ali Mohamud

Language

EN