Let x1, x2, , xn be a random sample from n(μ, σ2), where the mean θ = μ is such that −[infinity] < θ < [infinity] and σ2 is a known positive number. show that the maximum likelihood estimator for θ is θ^ = x.

And then the maximum occurs when , and that is only satisfied if and only if:

Step-by-step explanation:

For this case we have a random sample where where is fixed. And we want to show that the maximum likehood estimator for .

The first step is obtain the probability distribution function for the random variable X. For this case each have the following density function:

The likehood function is given by:

Assuming independence between the random sample, and replacing the density function we have this:

Taking the natural log on btoh sides we got:

Now if we take the derivate respect we will see this:

And then the maximum occurs when , and that is only satisfied if and only if:

hi there! my name is zalgo and i am here to you out today. the answer is pretty simple (in a way). this equation equals to 25.2!

i hope this answer !

"stay and stay proud! " - zalgo

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|