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Competitive Stats
Q42Section I (Objective (Q1–Q80))41 of 79

Statistical Inference — sufficiency of grouped-sum Poisson statistics

If T3=(x1,x2+x3,∑i=4nxi)T_3=(x_1,x_2+x_3,\sum_{i=4}^n x_i) and T4=(x1+x2,x3+x4,∑i=5nxi)T_4=(x_1+x_2,x_3+x_4,\sum_{i=5}^n x_i) are the statistics, then which of these statistics is/are sufficient for λ\lambda?

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