Q16Section I (Objective (Q1–Q80))16 of 80

Statistical Inference — UMVUE of an exponential Poisson function

Let $x_1, x_2, x_3, …, x_n$ be a random sample from a Poisson distribution with mean $\theta > 0$ . Let $T = \sum_{i=1}^{n} x_i$ . Then UMVUE of $e^{-2\theta}\theta^3$ is

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