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Random division of an interval

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  • F. W. Steutel

Abstract

The well‐known relation between random division of an interval and the Poisson process is interpreted as a Laplace transformation. With the use of this interpretation a number of (in part known) results is derived very easily.

Suggested Citation

  • F. W. Steutel, 1967. "Random division of an interval," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 21(3‐4), pages 231-244, September.
    • Handle: RePEc:bla:stanee:v:21:y:1967:i:3-4:p:231-244
    DOI: 10.1111/j.1467-9574.1967.tb00561.x
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    Cited by:

    1. Verreault, William, 2022. "On the probability of forming polygons from a broken stick," Statistics & Probability Letters, Elsevier, vol. 180(C).
    2. Thierry Huillet & Servet Martinez, 2003. "Sampling from Finite Random Partitions," Methodology and Computing in Applied Probability, Springer, vol. 5(4), pages 467-492, December.

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