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Bivariate Probability Distributions Similar to Exponential

  • B. Dimitrov
  • S. Chukova
  • Z. Khalil

Abstract

The class of bivariate distribution having the almost-lack-of-memory property (ALM-distribution) is introduced and the exact form of these distributions in a sub-class with almost independent components is derived. Some of the corresponding probability properties are discussed.

Keywords

Random Vector Survival Function Independent Component Bivariate Distribution Arbitrary Real Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Chukova S., and Dimitrov, B., 1992, On the distributions having almost lack-of-memory property, J. Appl Prob., 29, No. 3, 691–698.MathSciNetMATHCrossRefGoogle Scholar
  2. Chukova S., Dimitrov B., and Khalil, Z., 1993, Probability distributions similar to the exponential, Canadian J. of Statistics(to appear).Google Scholar
  3. Galambos J., and Kotz, S., 1978, “Characterization of Probability Distributions”, Lecture Notes in Math. 675, Springer-Verlag, Berlin, Heidelberg, New York.Google Scholar
  4. Marshall, A.W., and Olkin, L, 1967, A multivariate exponential distribution, J. Amer. Statist. Assoc, 62, 30–44.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • B. Dimitrov
    • 1
  • S. Chukova
    • 1
  • Z. Khalil
    • 2
  1. 1.GMI Engineering and Management InstituteFlintUSA
  2. 2.Dept. of Mathematics & StatisticsConcordia UniversityMontrealCanada

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