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Mathematics, 15.04.2020 02:00 21marmong

Let X1, · · · , Xn be independent identically distributed random variables with probability density function f(x) = 1 2σ exp − |x| σ , −[infinity] < x < [infinity] where σ > 0 is some unknown parameter. This is known as the Laplace distribution or double exponential distribution.

a. Find the moment estimator of σ.
b. Find the maximum likelihood estimator of σ.

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Let X1, · · · , Xn be independent identically distributed random variables with probability density...

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