Generalized Inverse Gaussian Distribution - Special Cases

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

Other articles related to "case, special cases":

Courts Of Chancery - Remedies
... for some failure by the other party to a case ... grant damages until the Chancery Amendment Act 1858, which gave it that right, but in some special cases it had been able to provide damages for over 600 years ... In Cardinal Beaufort's case in 1453, for example, it is stated that "I shall have a subpoena against my feoffee and recover damages for the value of the land" ...
cases" class="article_title_2">Circles - Computing Homothetic Centers - Special Cases
... If the circles have the same center but different radii, both the external and internal coincide with the common center of the circles ... This can be seen from the analytic formula, and is also the limit of the two homothetic centers as the centers of the two circles are varied until they coincide, holding the radii equal ...
Semidiameter - Special Cases
... The semi-diameters of a non-circular ellipse are the halves of its extents along the two axes of symmetry ... They are the parameters a, b of the implicit equation Likewise, the semi-diameters of an ellipsoid are the parameters a, b, and c of its implicit equation The semi-diameters of a superellipse, superellipsoid, or superquadric can be identified in the same way ...
D'Alembert's Principle - Derivation For Special Cases
... This is true only for some very special cases e.g ... to the constraint forces (which is not usually the case, so this derivation works only for special cases), the constraint forces do no work ...

Famous quotes containing the words cases and/or special:

    I have always felt that the real purpose of government is to enhance the lives of people and that a leader can best do that by restraining government in most cases instead of enlarging it at every opportunity.
    Gerald R. Ford (b. 1913)

    When we walk the streets at night in safety, it does not strike us that this might be otherwise. This habit of feeling safe has become second nature, and we do not reflect on just how this is due solely to the working of special institutions. Commonplace thinking often has the impression that force holds the state together, but in fact its only bond is the fundamental sense of order which everybody possesses.
    Georg Wilhelm Friedrich Hegel (1770–1831)