Skip to main content
Log in

Bivariate generalized Poisson distribution with some applications

  • Published:
Metrika Aims and scope Submit manuscript

Abstract

The univariate generalized Poisson probability model has many applications in various areas such as engineering, manufacturing, survival analysis, genetic, shunting accidents, queuing, and branching processes. A correlated bivariate version of the univariate generalized Poisson distribution is defined and studied. Estimation of its parameters and some of its properties are also discussed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adelstein AM (1952) Accident proneness: A criticism of the concept based upon an analysis of shunters' accidents. Journal of Royal Statist Soc Ser A, 115:354–410

    Google Scholar 

  • Arbous AG, Kerrick JE (1951) Accident statistics and the concept of accident proneness. Biometrics 7:340–432

    Google Scholar 

  • Consul PC (1989) Generalized poisson distributions — Properties and applications. Marcel Dekker Inc New York

    Google Scholar 

  • Consul PC, Jain GC (1973) A generalization of Poisson distribution. Technometrics 15(4):791–799

    Google Scholar 

  • Consul PC, Shenton LR (1973) On bivariate Lagrange and Borel-Tanner distributions and their use in queuing theory. Sankya A, 35:229–236

    Google Scholar 

  • Consul PC, Shoukri MM (1985) The generalized poisson distribution when the sample mean is larger than the sample variance. Comm Statist Simulation & Comput 14(3):667–681

    Google Scholar 

  • Consul PC, Shoukri MM (1988) Some chance mechanisms generating the generalized poisson probability models. American Journal of Math and Management Sciences 8 (nos. 1&2):181–202

    Google Scholar 

  • Holgate P (1964) Estimation for the bivariate poisson distribution. Biometrika 51:241–245

    Google Scholar 

  • Holgate P (1966). Bivariate generalizations of Neyman's type a distribution. Biometrika 53:241–244

    Google Scholar 

  • Jain GC, Singh N (1975) On bivariate power series distributions associated with Lagrange expansion. JASA 70(352):951–954

    Google Scholar 

  • Johnson NL, Kotz S, Kemp AW (1992) Univariate discrete distributions. 2nd ed. John Wiley and sons Inc New York

    Google Scholar 

  • Mardia KV (1970) Families of bivariate distributions. Charles Griffin and Co London

    Google Scholar 

  • Patel GP, Joshi SW (1968) A dictionary and bibliography of discrete distributions. Oliver and Boyd Ltd Edinburgh

    Google Scholar 

  • Stein GZ, Juritz JM (1987) Bivariate compound poisson distributions. Comm Stat — Theory and Methods 16(12):3591–3607

    MathSciNet  Google Scholar 

  • Shoukri MM, Consul PC (1982) Bivariate modified power series distribution — some properties, estimation and applications. Biometrical Journal 24(8):787–799

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Famoye, F., Consul, P.C. Bivariate generalized Poisson distribution with some applications. Metrika 42, 127–138 (1995). https://doi.org/10.1007/BF01894293

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01894293

Key Words and Phrases

Navigation