Skip to main content
SpringerLink
Log in

Gamma distribution and extensions by using pathway idea

  • Regular Article
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

Extended forms of gamma and inverse Gaussian densities are considered. Pathway model of Mathai (Linear Algebra Appl 396:317–328, 2005) is utilized for the extension. The Laplace transform of this extended function is evaluated, thereby the moment generating functions in this general class can be obtained. Some Bayesian results are derived for the extended gamma family of densities. Distributions of products and ratios of the extended variables and computable series representations are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Beck C (2006) Stretched exponentials from superstatistics. Phys A 365: 96–101

    Article  Google Scholar 

  • Beck C, Cohen EGD (2003) Superstatistics. Phys A 322: 267–275

    Article  MathSciNet  MATH  Google Scholar 

  • Kilbas AA, Saigo M (2004) H-transforms: theory and applications. Chapman and Hall, Boca Raton, pp 1–25

    Book  MATH  Google Scholar 

  • Krätzel E (1979) Integral transformations of Bessel type, Generalized functions and Operational Calculus. In: Proc. Conf. Varna, Bulg. Acad. Sci. Sofia, pp 148–155

  • Mathai AM (1993) A handbook of generalized special functions for statistical and physical sciences. Oxford University Press, Oxford, pp 58–116

    MATH  Google Scholar 

  • Mathai AM (2005) A Pathway to matrix-variate gamma and normal densities. Linear Algebra Appl 396: 317–328

    Article  MathSciNet  MATH  Google Scholar 

  • Mathai AM (2007) A versatile integral (Preprint sries of C M S, Number 9)

  • Mathai AM, Haubold HJ (1988) Modern problems in nuclear and neutrino astrophysics. Akademic-Verlag, Berlin, pp 19–53

    Google Scholar 

  • Mathai AM, Haubold HJ (2007) Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy. Phys A 375: 110–122

    Article  MathSciNet  Google Scholar 

  • Mathai AM, Provost SB (2006) On q-logistic and related models. IEEE Trans Reliab 55(2): 237–244

    Article  MathSciNet  Google Scholar 

  • Mathai AM, Saxena RK (1978) The H-function with applications in statistics and other disciplines. Wiley Halsted, New York, pp 1–12

    Google Scholar 

  • Miler RB (1980) Bayesian analysis of the two-parameter gamma distribution. Technometrics 22(1): 65–69

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Mathematical Sciences, Pala Campus, Arunapuram P.O, Palai, Kerala, 686 574, India

    Dhannya P. Joseph

Authors
  1. Dhannya P. Joseph
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dhannya P. Joseph.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joseph, D.P. Gamma distribution and extensions by using pathway idea. Stat Papers 52, 309–325 (2011). https://doi.org/10.1007/s00362-009-0231-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00362-009-0231-y

Keywords

Search

Navigation