The life time of a dryer machine can be modeled with the probability distribution , where...

The life time of a dryer machine can be modeled with the probability distribution , where x is the time in years and beta is an unknown parameter. Findings that 3 machines life time are after x₁, x₂, x₃ years.

1. what is the likelihood function?

2. assume the observations are x₁ = 5, x₂ = 6, x₃ = 5. Use this information and simplify the likelihood function as much as possible.

3. what is the log-likelihood function, simplified as much as possible for beta?

4. what is the maximum likelihood estimate for beta, use two decimal places?

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Expert Solution

orchestra answered 1 year ago

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