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:
“Fielding being mentioned, Johnson exclaimed, “he was a blockhead ....” BOSWELL. “Will you not allow, Sir, that he draws very natural pictures of human life?” JOHNSON. “Why, Sir, it is of very low life. Richardson used to say, that had he not known who Fielding was, he should have believed he was an ostler.””
—Samuel Johnson (1709–1784)
“Notwithstanding the unaccountable apathy with which of late years the Indians have been sometimes abandoned to their enemies, it is not to be doubted that it is the good pleasure and the understanding of all humane persons in the Republic, of the men and the matrons sitting in the thriving independent families all over the land, that they shall be duly cared for; that they shall taste justice and love from all to whom we have delegated the office of dealing with them.”
—Ralph Waldo Emerson (1803–1882)
“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)
“If photography is allowed to stand in for art in some of its functions it will soon supplant or corrupt it completely thanks to the natural support it will find in the stupidity of the multitude. It must return to its real task, which is to be the servant of the sciences and the arts, but the very humble servant, like printing and shorthand which have neither created nor supplanted literature.”
—Charles Baudelaire (1821–1867)