Krätzel Function and Related Statistical Distributions

作     者：T.Princy 

作者机构：Centre for Mathematical SciencesArunapuram P.O.Pala 686574KeralaIndia Department of StatisticsBanaras Hindu University(B.H.U)Varanasi 221005India 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2014年第2卷第3期

页      面：413-429页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Centre for Mathematical Sciences University Grants Commission, UGC 

主　　题：Laplace transform Krätzel function Mellin transform H-function Krätzel density Pathway model 

摘      要：The Krätzel function has many applications in applied analysis,so this function is used as a base to create a density function which will be called the Krätzel *** density is applicable in chemical physics,Hartree–Fock energy,helium isoelectric series,statistical mechanics,nuclear energy generation,etc.,and also connected to Bessel *** main properties of this newfamily are studied,showing in particular that it may be generated via mixtures of gamma random *** basic statistical quantities associated with this density function such as moments,Mellin transform,and Laplace transform are *** of Krätzel distribution to reaction rate probability integral in physics,inverse Gaussian density in stochastic processes,Tsallis statistics and superstatistics in non-extensive statistical mechanics,Mellin convolutions of products and ratios thereby to fractional integrals,synthetic aperture radar,and other areas are pointed out in this ***,we extend the Krätzel density using the pathway model of Mathai,and some applications are also *** new probability model is fitted to solar radiation data.