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Stability of characterization of exponential distribution by the discretization property

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Abstract

The relationship is studied between certain estimates of the distribution density, and also between problems of parametric estimation of the density and pointwise estimation of parametric functions.

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Literature cited

  1. 1.

    K. Bosch, “A characterization of exponential distributions,” ZAMM,57, 606–610 (1977).

  2. 2.

    L. B. Klebanov, “Some problems of characterization of distributions that arise in reliability theory,” Teor. Veroyatn. Primen.,23, No. 4, 828–831 (1978).

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Additional information

Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 63–64, 1980.

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Klebanov, L.B., Melamed, I.A. Stability of characterization of exponential distribution by the discretization property. J Math Sci 32, 52–53 (1986). https://doi.org/10.1007/BF01084499

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Keywords

  • Parametric Estimation
  • Distribution Density
  • Exponential Distribution
  • Parametric Function
  • Pointwise Estimation