Question: We suppose that X is a random variable with the following probability density function (PDF): f(x,0.) = {*.* (0.exp(-0.x) if x > 0; lo if

We suppose that X is a random variable with the

We suppose that X is a random variable with the following probability density function (PDF): f(x,0.) = {*.* (0.exp(-0.x) if x > 0; lo if x Compute the expected log-likelihood function and obtain its maximum value. (4 pts) Derive the sample average of the individual log-likelihood functions and from this obtain the ML estimator. (7 pts) 4 Obtain the asymptotic distribution of the ML estimator. (7 pts) We suppose that X is a random variable with the following probability density function (PDF): f(x,0.) = {*.* (0.exp(-0.x) if x > 0; lo if x Compute the expected log-likelihood function and obtain its maximum value. (4 pts) Derive the sample average of the individual log-likelihood functions and from this obtain the ML estimator. (7 pts) 4 Obtain the asymptotic distribution of the ML estimator. (7 pts)

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