Question: Problem 5: Let $X_{1}, X_{2}, ldots, X_{n}$ be a random sample from a uniform distribution $U(0, theta)$. Prove that $X_{(n)} Istackrel{p}{ ightarrow} theta$, where $X_{(n)}$

 Problem 5: Let $X_{1}, X_{2}, \ldots, X_{n}$ be a random sample

Problem 5: Let $X_{1}, X_{2}, \ldots, X_{n}$ be a random sample from a uniform distribution $U(0, \theta)$. Prove that $X_{(n)} Istackrel{p}{ ightarrow} \theta$, where $X_{(n)}$ is the maximum order statistic. SP.AS. 1139

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