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A note on characterization by the conditional expectation

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Summary

Various distributions like exponential, Pareto, power and Burr's distribution are characterized in terms of conditional expectation of a functionh (·) of the absolutely continuous random variable.

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References

  • Hamdan, M.A.: On a characterization by conditional expectations. Technometrics14 (2), 1972, 497–499.

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  • Shanbhag, D.N.: The characterizations for exponential and geometric distribution. J. Amer. Stat. Assoc.65, 1970, 1256–1259.

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Authors and Affiliations

  1. Ciba-Geigy Research Centre, 400 063, Bombay, India

    S. Talwalker

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  1. S. Talwalker
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Talwalker, S. A note on characterization by the conditional expectation. Metrika 24, 129–136 (1977). https://doi.org/10.1007/BF01893400

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  • DOI: https://doi.org/10.1007/BF01893400

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