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Competitive Stats
Q64Section I (Objective (Q1–Q80))64 of 80

Statistical Inference — the correct factorization form for sufficiency

A statistic T=t(x1,x2,x3,...,xn)T=t(x_1,x_2,x_3,...,x_n) will be sufficient for θ\theta according to factorization theorem iff the joint pdf or pmf can be expressed as

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