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, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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