Likelihood Function

[StefanGray]

Can anyone help me understand this?

Consider the four observations from de Normal Distribution with variance equal to one y1 < 10, y2 > 10, 5 < y3 < 10 and y4 = 10.
The likelihood function is?

Would be:




Replacing:

I want to know if this is correct or have another way of solving this problem.

 

[GretaGarbo]

It looks OK to me (and maybe call them all y and dy).

 

[Dason]

Looks fine to me. I probably would have wrote out some notation just using the CDF of the standard normal though to keep it a little bit cleaner.