Efficient Computation of Generalized Bessel Function Distributions

Generalized Bessel function of Type D ?

We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.

Beta Bessel distributions

Three new distributions on the unit interval [0,1] are introduced which generalize the standard beta distribution. These distributions involve the Bessel function. Expression is derived for their shapes, particular cases, and the nthmoments. Estimation by themethod of maximum likelihood and Bayes estimation are discussed. Finally, an application to consumer price indices is illustrated to show ...

Characterizations of Certain Marshall-Olkin Generalized Distributions

Several characterizations of Marshall-Olkin generalized distributions, introduced by Gui (2013) and by Al-Saiari et al. (2014) are presented. These characterizations are based on: (i) a simple relationship between two truncated moments ; (ii) the hazard function.

Beta Type Integral Formula Associated with Wright Generalized Bessel Function

Abstract. The object of the present paper is to establish an integral formula involving Wright generalized Bessel function (or generalized Bessel-Maitland function) J ν,q (z) defined by Singh et al. [21], which is expressed in the terms of generalized (Wright) hypergeometric functions. Some interesting special cases involving Bessel functions, generalized Bessel functions, generalized Mittag-Le...

Some Distributions Involving Bessel Functions