What is the Maximum Likelihood Estimator for Uniform Distribution Endpoints?

das1 · Jun 27, 2014

I need help on this problem, anyone know how to do it?

Suppose you have n independent observations from a uniform distribution over the interval [𝜃1, 𝜃2].

a. Find the maximum likelihood estimator for each of the endpoints θ1 and θ2.
b. Based on your result in part (a), what would you expect the maximum likelihood estimator to be for the mean? Explain or prove your result.

tarantella · Aug 4, 2014

The answer will depend on what you know. For example, do you know an expression for the likelihood?

What is the Maximum Likelihood Estimator for Uniform Distribution Endpoints?

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What is the Maximum Likelihood Estimator for Uniform Distribution Endpoints?

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