Special Cases
The inverse Gaussian and gamma distributions are special cases of the generalized inverse Gaussian distribution for p = -1/2 and b = 0, respectively. Specifically, an inverse Gaussian distribution of the form
is a GIG with, and . A Gamma distribution of the form
is a GIG with, and .
Other special cases include the inverse-gamma distribution, for a=0, and the hyperbolic distribution, for p=0.
Read more about this topic: Generalized Inverse Gaussian Distribution
Famous quotes containing the words special and/or cases:
“Myths, as compared with folk tales, are usually in a special category of seriousness: they are believed to have “really happened,” or to have some exceptional significance in explaining certain features of life, such as ritual. Again, whereas folk tales simply interchange motifs and develop variants, myths show an odd tendency to stick together and build up bigger structures. We have creation myths, fall and flood myths, metamorphose and dying-god myths.”
—Northrop Frye (1912–1991)
“... in all cases of monstrosity at birth anaesthetics should be applied by doctors publicly appointed for that purpose... Every successive year would see fewer of the unfit born, and finally none. But, it may be urged, this is legalized infanticide. Assuredly it is; and it is urgently needed.”
—Tennessee Claflin (1846–1923)