'Sufficient Statistic Show that the sum of the observations of a random sample of size n from an exponential distribution with mean theta is sufficient for theta:'
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Key Concepts
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Let $X_{1}, X_{2}, \ldots, X_{n}$ be iid $N(0, \theta), 0<\theta<\infty$. Show that $\sum_{1}^{n} X_{i}^{2}$ is a sufficient statistic for $\theta$.
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