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Characterization based on conditional distributions

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Abstract

The field of application of a result given by Singh and Vasudeva (1984, J. Indian Statist. Assoc., 22, 93–96) which provides a way of characterizing the distribution of a random variable X, through conditional distributions of a second variable Z, given X, is extended.

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References

  • Simmons, G. F. (1963). Introduction to Topology and Modern Analysis, McGraw-Hill, New York.

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  • Singh, H. and Vasudeva, H. L. (1984). A characterization of exponential distribution by Yule distribution, J. Indian Statist. Assoc., 22, 93–96.

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Johnson, N.L., Kotz, S. Characterization based on conditional distributions. Ann Inst Stat Math 41, 13–17 (1989). https://doi.org/10.1007/BF00049106

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  • DOI: https://doi.org/10.1007/BF00049106

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