Let X be a random variable with pdf f(x; a) = c> 1, and, a > 1. where a denotes the parameter of the distribution. [(a)] Find the cumulative distribution function (CDF) of X [(b)] Find the distribution of the transformed variable Y = 1-X-a. Justify your answer [(c)] Find the method of moment estimator (MME) for a

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Let X be a random variable with pdf
f(x; a) =
ra+1 2 1, and, a > 1.
where a denotes the parameter of the distribution.
[(a)] Find the cumulative distribution function (CDF) of X
• [[b)] Find the distribution of the transformed variable Y =1–X-ª. Justify your answer
[(c)] Find the method of moment estimator (MME) for a
[(d)] Find the maximum likelitood estimator (MLE) for a
Transcribed Image Text:Let X be a random variable with pdf f(x; a) = ra+1 2 1, and, a > 1. where a denotes the parameter of the distribution. [(a)] Find the cumulative distribution function (CDF) of X • [[b)] Find the distribution of the transformed variable Y =1–X-ª. Justify your answer [(c)] Find the method of moment estimator (MME) for a [(d)] Find the maximum likelitood estimator (MLE) for a
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