ON THE DIFFERENTIATION OF A LOG-LIKELIHOOD FUNCTION

Darrell A. Turkington · 2011

Simple theorems based on a mathematical property of vecY   provide powerful tools for obtaining matrix calculus results. By way of illustration, new results are obtained for matrix derivatives involving vecA, vechA, v(A) and vecX where X is a symmetric matrix. The analysis explains exactly how a log-likelihood function should be differentiated using matrix calculus.

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