Limiting Approach to Generalized Gamma Bessel Model via Fractional Calculus and Its Applications in Various Disciplines

Axioms

Nicy Sebastian¹ 

[1] Indian Statistical Institute(ISI), Chennai CIT Campus, Taramani, Chennai 600113, India; E-Mail

关键词: fractional integrals;    statistical distributions;    Bessel function;    gamma model;   

DOI  :  10.3390/axioms4030385

来源: mdpi

【 摘 要 】

The essentials of fractional calculus according to different approaches that can be useful for our applications in the theory of probability and stochastic processes are established. In addition to this, from this fractional integral, one can list out almost all of the extended densities for the pathway parameter . Here, we bring out the idea of thicker- or thinner-tailed models associated with a gamma-type distribution as a limiting case of the pathway operator. Applications of this extended gamma model in statistical mechanics, input-output models, solar spectral irradiance modeling, etc., are established.

【 授权许可】

CC BY   
© 2015 by the author; licensee MDPI, Basel, Switzerland.