Expectation
It can be shown that
where and are the expected value and variance-covariance matrix of, respectively, and tr denotes the trace of a matrix. This result only depends on the existence of and ; in particular, normality of is not required.
Read more about this topic: Quadratic Form (statistics)
Famous quotes containing the word expectation:
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But friends walk by friends.”
—William Butler Yeats (18651939)
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—Sophocles (497406/5 B.C.)
“For, the expectation of gratitude is mean, and is continually punished by the total insensibility of the obliged person. It is a great happiness to get off without injury and heart-burning, from one who has had the ill luck to be served by you. It is a very onerous business, this being served, and the debtor naturally wishes to give you a slap.”
—Ralph Waldo Emerson (18031882)