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On the characterization of the exponential distribution by the independence of its integer and fractional parts

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  • Lih–Yuan Deng
  • Raj S. Chhikara

Abstract

It is well–known that the fractional part and integer part of an exponentially distributed random variable are independent. Under some regularity conditions, the independence of the fractional part and integer part of a positive random variable characterizes the exponential distribution.

Suggested Citation

  • Lih–Yuan Deng & Raj S. Chhikara, 1990. "On the characterization of the exponential distribution by the independence of its integer and fractional parts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 44(2), pages 83-85, June.
    • Handle: RePEc:bla:stanee:v:44:y:1990:i:2:p:83-85
    DOI: 10.1111/j.1467-9574.1990.tb01529.x
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    Cited by:

    1. Shimura, Takaaki, 2012. "Limit distribution of a roundoff error," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 713-719.
    2. Minkova, Leda D. & Omey, Edward, 2011. "A new Markov Binomial distribution," Working Papers 2011/24, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.

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