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Stability of characterization by record properties

  • R. Yanushkevichius
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1546)

Keywords

Strict Monotonicity Convolution Equation Unique Pole Continuous Distribution Function Multiple Zero 
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References

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    R. Yanushkevichius, Stability of Characterizations of Probability Distributions, Mokslas, Vilnius, 1991. (In Russian.)zbMATHGoogle Scholar
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    C. R. Rao and D. N. Shanbhag, Recent results on characterization of probability distributions: a unified approach through extensions of Deny's theorem, Adv. Appl. Probab., 18 (1986), pp. 660–678.MathSciNetzbMATHGoogle Scholar
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    R. C. Gupta, Relationships between order statistics and record values and some characterization results, J. Appl. Probab., 21 (1984), pp. 425–430.MathSciNetCrossRefzbMATHGoogle Scholar
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    T. A. Azlarov, Characterization properties of exponential distributions and their stability, in: Limit Theorems, Random Processes, Tashkent, 1979, pp. 103–111. (In Russian.)Google Scholar
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    H. M. Gu and K. S. Lau, Integrated Cauchy functional equation with an error term and the exponential law, Sankhyá, 46 (1984), pp. 339–354.MathSciNetzbMATHGoogle Scholar
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    L. B. Klebanov and O. L. Yanushkevichiene, On the stability of characterization of exponential law, Lith. Math. J., 22 (1982), pp. 103–111.MathSciNetGoogle Scholar
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    R. Shimizu, Functional eqiation with an error term and the stability of some characterizations of the exponential distribution, Ann. Math. Statist., 32 (1980), pp. 1–16.CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • R. Yanushkevichius
    • 1
  1. 1.Institute of Mathematics and InformaticsVilniusLithuania

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