Use the maximum likelihood estimation (MLE) method to a develop a formula that estimates the parameter ? of Poisson distribution whose equation is p(x / ?) = ?e^-?x
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The Poisson distribution pmf is as given below: f(x) = (λ^x * e^-λ) / x! for x = 0, 1, 2... Given a random sample of size n from a Poisson population. (i). Use the method of moments to obtain an estimator for the parameter λ (Hint: if a random variable X has poisson distribution, then E(X) = λ). (ii). Use the maximum likelihood to obtain an estimator for the parameter λ.
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