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Competitive Stats
Q24Section I (Objective (Q1–Q80))24 of 80

Statistical Inference — unbiased estimator from one observation

Let X∼f(x;θ)X \sim f(x; \theta) such that f(x;θ)=2(x−θ)(1−θ)2f(x; \theta) = \frac{2(x-\theta)}{(1-\theta)^2}, θ<x<1\theta < x < 1, 0<θ<10 < \theta < 1. An unbiased estimator of θ\theta based on a sample of size one is given by:

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