Consider a random sample of x1,. . , xn from a uniform distribution u(0, θ) with unknown parameter θ, where θ > 0.
determine the maximum likelihood estimator of θ.

Step-by-step explanation:

We assume the following density function:

And 0 for other case, and we are interested in order to find the MLE for

The likehood function would have the following form:

If we want to maximize this we need a value such that for

Our likehood function is a decreasing function and in order to estimate this value we can use the maximum function of all the observations:

And the the MLE estimator for the parameter is given by

Is important to mention that this estimator probably underestimate the value of since , but is the stimator for this case.

no one knows lol

step-by-step explanation: