Q12Section I (Objective (Q1–Q80))12 of 79

Statistical Inference — pivotal statistic for exponential mean

Let $X_1,X_2,…,X_n$ be iid exponential variates with mean $\lambda>0$ . Define $T=\sum_{i=1}^n x_i$ , a sufficient statistic for $\lambda$ . Then pivotal statistic to construct confidence interval for $\lambda$ is:

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