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:
“You must train the children to their studies in a playful manner, and without any air of constraint, with the further object of discerning more readily the natural bent of their respective characters.”
—Plato (c. 427347 B.C.)
“There is a city myth that country life was isolated and lonely; the truth is that farmers and their families then had a richer social life than they have now. They enjoyed a society organic, satisfying and whole, not mixed and thinned with the life of town, city and nation as it now is.”
—Rose Wilder Lane (18861965)
“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 (18031873)
“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 (18031882)