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:
“The remnant of Indians thereabout—all but exterminated in their recent and final war with regular white troops, a war waged by the Red Men for their native soil and natural rights—had been coerced into the occupancy of wilds not far beyond the Mississippi.”
—Herman Melville (1819–1891)
“Family jokes, though rightly cursed by strangers, are the bond that keeps most families alive.”
—Stella Benson (1892–1933)
“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)
“One of the most highly valued functions of used parents these days is to be the villains of their children’s lives, the people the child blames for any shortcomings or disappointments. But if your identity comes from your parents’ failings, then you remain forever a member of the child generation, stuck and unable to move on to an adulthood in which you identify yourself in terms of what you do, not what has been done to you.”
—Frank Pittman (20th century)