Likelihood Function

#1
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:

CodeCogsEqn (1).gif


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

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Dason

Ambassador to the humans
#3
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.