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.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )