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Competitive Stats
Q40Section I (Objective (Q1–Q80))40 of 80

Statistical Inference — method-of-moments estimator for a decreasing triangular density

If X1,X2,X3,...,XnX_1, X_2, X_3, ..., X_n constitutes a random sample of size n from the population given by f(x,θ)=2(θ−x)θ2f(x,\theta)=\frac{2(\theta-x)}{\theta^2}; 0<x<θ0<x<\theta; 00 otherwise, then the estimator of θ\theta by the method of moments is

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