A characterization of the generalized inverse Gaussian distribution by continued fractions

1983 ◽  
Vol 62 (4) ◽  
pp. 485-489 ◽  
Author(s):  
G�rard Letac ◽  
Vanamamalai Seshadri
Keyword(s):  
Gaussian Distribution ◽  
Continued Fractions ◽  
Generalized Inverse ◽  
Inverse Gaussian Distribution ◽  
Inverse Gaussian ◽  
Generalized Inverse Gaussian Distribution ◽  
Generalized Inverse Gaussian

scholarly journals On an extension of generalized incomplete Gamma functions with applications

1996 ◽  
Vol 37 (3) ◽  
pp. 392-405 ◽  
Author(s):  
M. Aslam Chaudhry ◽  
S. M. Zubair
Keyword(s):  
Gaussian Distribution ◽  
Generalized Inverse ◽  
Inverse Gaussian Distribution ◽  
Inverse Gaussian ◽  
Generalized Inverse Gaussian Distribution ◽  
Gamma Functions ◽  
Generalized Gamma ◽  
Incomplete Gamma Functions ◽  
Generalized Inverse Gaussian ◽  
Class Of Functions

AbstractIn this paper we have introduced extensions νυ(α, x; b) and Γν(α, x; b) of the generalized Gamma functions γ(α x; b) and Γ(α, x; b) considered recently by Chaudhry and Zubair. These extensions are found useful in the representations of the Laplace and K-transforms of a class of functions. We have also defined a generalization of the inverse Gaussian distribution. The cumulative and the reliability functions of the generalized inverse Gaussian distribution are expressed in terms of these functions. Some useful properties of the functions are also discussed.

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