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I am searching to get a detailed development for the multivariate normal likelihood function in order to enter it to Wikipedia.

Can anyone suggest to me a good reference book (or if you have it handy, just copy paste the LaTeX of it?)

I am failing to google-find a good, and detailed, reference.

Thanks.

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By "detailed development", what do you mean? A proof of the stated form? A sketch of a proof? Something else? While you are at it, may I suggest that you edit the current display equation for the likelihood function. Using \ln or \log would be good, as would removing the $*$ for multiplication and the $+ -$ between the first two terms (only the minus should be there). – cardinal Nov 13 '11 at 21:09
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Reference: G. A. F. Seber and A. J. Lee (2003), Linear Regression Analysis, 2nd ed., Wiley, pp. 17-19. (Certainly this is but one of many choices.) – cardinal Nov 13 '11 at 21:15
Hi Cardinal. I mean a full proof (I feel uneasy with my current level of understanding of the equation - and I want to set it right - and do some nice community work in the meantime). – Tal Galili Nov 13 '11 at 21:19
I've implemented your format suggestions, and will have a look at your reference - thanks! – Tal Galili Nov 13 '11 at 21:20
The two complementary F. A. Graybill books on the general linear model and matrices for statistics will also have this information, but I don't have them handy at the moment to give explicit page numbers. – cardinal Nov 13 '11 at 21:29
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