The Gamma distribution is often used to describe the wait time until a certain number of events occurs. Assume x1, . . . , xn ∼iid Gamma(α, β), where α is shape and β is rate. Calculate the maximum likelihood estimator of β either by hand or via R, but not both. The probability density function (PDF) for the Gamma distribution is: Calculate the log-likelihood function of the function below. I t doesnt have to be on r studi you can do by your hand

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The Gamma distribution is often used to describe the wait time until a certain number of events occurs. Assume

x1, . . . , xn ∼iid Gamma(α, β), where α is shape and β is rate. Calculate the maximum likelihood estimator of β either by hand or via R, but not both. The probability density function (PDF) for the Gamma distribution is:

Calculate the log-likelihood function of the function below. I t doesnt have to be on r studi you can do by your hand

Ba
f (x|a, B) =
r(a)*
x-1,
le-Bx
Transcribed Image Text:Ba f (x|a, B) = r(a)* x-1, le-Bx
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