Natural Exponential Families With Quadratic Variance Functions (NEF-QVF)
A special case of the natural exponential families are those with quadratic variance functions. Six NEFs have quadratic variance functions (QVF) in which the variance of the distribution can be written as a quadratic function of the mean. These are called NEF-QVF. The properties of these distributions were first described by Carl Morris.
Read more about this topic: Natural Exponential Family
Famous quotes containing the words natural, families, variance and/or functions:
“Freedom is a man’s natural power of doing what he pleases, so far as he is not prevented by force or law.”
—Marcus Tullius Cicero (106–43 B.C.)
“Affection, indulgence, and humor alike are powerless against the instinct of children to rebel. It is essential to their minds and their wills as exercise is to their bodies. If they have no reasons, they will invent them, like nations bound on war. It is hard to imagine families limp enough always to be at peace. Wherever there is character there will be conflict. The best that children and parents can hope for is that the wounds of their conflict may not be too deep or too lasting.”
—New York State Division of Youth Newsletter (20th century)
“There is an untroubled harmony in everything, a full consonance in nature; only in our illusory freedom do we feel at variance with it.”
—Fyodor Tyutchev (1803–1873)
“Empirical science is apt to cloud the sight, and, by the very knowledge of functions and processes, to bereave the student of the manly contemplation of the whole.”
—Ralph Waldo Emerson (1803–1882)