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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A characterization of the exponential distribution involving absolute differences of i.i.d. random variables
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by W. Stadje PDF
Proc. Amer. Math. Soc. 121 (1994), 237-243 Request permission


A probability measure $\mu$ on $[0,\infty )$ is said to have property H if for independent random variables ${X_1}$ and ${X_2}$ distributed according to $\mu$ the absolute difference $|{X_1} - {X_2}|$ has the same distribution. Continuing previous work of Puri and Rubin we characterize the set of all distributions having property H.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 237-243
  • MSC: Primary 62E10
  • DOI:
  • MathSciNet review: 1200180