Statistical Methods & Applications

, Volume 22, Issue 3, pp 355–380 | Cite as

The geometric exponential Poisson distribution

  • Saralees NadarajahEmail author
  • Vicente G. Cancho
  • Edwin M. M. Ortega


Many if not most lifetime distributions are motivated only by mathematical interest. Here, a new three-parameter distribution motivated mainly by lifetime issues is introduced. Some properties of the new distribution including estimation procedures, univariate generalizations and bivariate generalizations are derived. Two real data applications are described to show superior performance versus some known lifetime models.


Exponential distribution Geometric distribution  Maximum likelihood estimation Poisson distribution 



The authors would like to thank the two referees and the Editor for careful reading and for their comments which greatly improved the paper.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Saralees Nadarajah
    • 1
    Email author
  • Vicente G. Cancho
    • 2
  • Edwin M. M. Ortega
    • 3
  1. 1.School of MathematicsUniversity of ManchesterManchesterUK
  2. 2.Instituto de Ciências Matemáticas e de ComputaçãoUniversidade de São PauloSão CarlosBrazil
  3. 3.Departamento de Ciências ExatasUniversidade de São PauloPiracicabaBrazil

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