Natural Exponential Family - Natural Exponential Families With Quadratic Variance Functions (NEF-QVF)

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 domestic career is no more natural to all women than the military career is natural to all men.
    George Bernard Shaw (1856–1950)

    In families children tend to take on stock roles, as if there were hats hung up in some secret place, visible only to the children. Each succeeding child selects a hat and takes on that role: the good child, the black sheep, the clown, and so forth.
    Ellen Galinsky (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)

    Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital functions of human society, but should be unconsciously performed, like the corresponding functions of the physical body.
    Henry David Thoreau (1817–1862)