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In: Statistics and Probability

Suppose you found an estimate of a parameter by setting the derivative of the log-likelihood equal...

Suppose you found an estimate of a parameter by setting the derivative of the log-likelihood equal to 0 and solving the equation. Give examples of two situations where this is this not the maximum likelihood estimate. (There are at least 4 possibilities, you only need to mention two.)

You do not need to reference specific distributions or numbers, just features/shapes of the likelihood. Please limit your answer to 2 or 3 sentences total, preferably 1.

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