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On the stability of lack of memory characterization of the exponential distribution

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References

  1. Azlarov T.A. Characterizing properties of the exponential distribution and their stability.-In: Limit Theorems for Stochastic Processes and their Applications, Taškent: Fan, 1979, 3–14 (in Russian).

    Google Scholar 

  2. Huang J.S. On a ‘lack of memory’ property.-Ann. Inst. Statist. Math., 1981, v.33, p.131–134.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Klebanov L.B. Some results connected with a characterization of the exponential distribution, Theorija verojatn. Prim., 1980, v.25, p.617–622 (in Russian).

    MathSciNet  MATH  Google Scholar 

  4. Klebanov L.B. and Yanushkevichiene O.L. Stability of a characterization of the exponential distribution.-Teorija Verojatn. Prim., 1981, v.26, p.664 (in Russian).

    Google Scholar 

  5. Ramachandran B. On the strong Markov property of the exponential law. — In: Proceedings of the Colloquim on the Methods of Complex Analysis in the Theory of Probability and Statistics, Debrecen, Hungary: 1977.

    Google Scholar 

  6. Shimizu R. Solution to a functional equation and its application to some characterization problems.-Sankhyā, A, 1978, v.40, p.319–332.

    MathSciNet  MATH  Google Scholar 

  7. Shimizu R. On a lack of memory property of the exponential distribution.-Ann. Inst. Statist. Math., 1979, v.31, p.309–313.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Shimizu R. Functional equation with an error term and the stability of some characterizations of the exponential distribution.-Ann. Inst. Statist. Math., 1980, v.32, p.1–16.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Shimizu R., Davies L. On the stability of characterizations of non-normal stable distributions.-In: Statistical Distributions in Scientific Work, 1981, v.4, p.433–446.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Shimizu R., Davies L. General characterization theorems for the Weibull and the stable distributions.-Sankhyā, A, 1981, v.43, p.282–310.

    MathSciNet  MATH  Google Scholar 

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© 1983 Springer-Verlag

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Shimizu, R. (1983). On the stability of lack of memory characterization of the exponential distribution. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082072

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  • DOI: https://doi.org/10.1007/BFb0082072

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