Let (x_{1}, ldots, x_{n}) be the observed values of a random sample of size (n) from the

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Let $x_{1}, \ldots, x_{n}$ be the observed values of a random sample of size $n$ from the exponential distribution $f(x ; \beta)=\beta^{-1} e^{-x / \beta}$ for $x>0$.

(a) Find the maximum likelihood estimator of $\beta$.

(b) Obtain the maximum likelihood estimator of the probability that the next observation is greater than 1.

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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Question Posted: Apr 23, 2024 07:01 AM

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Let (x_{1}, ldots, x_{n}) be the observed values of a random sample of size (n) from the

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SOLUTION a For an exponential distribution the likelihood function is ...View the full answer

Probability And Statistics For Engineers

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