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A note on the distribution of kth records from discrete distributions

Author

Listed:
  • López-Blázquez, F.
  • Salamanca Miño, B.
  • Dembinska, A.

Abstract

For a continuous distribution, F, it is well known that the sequence of kth-records is distributed as the sequence of 1st-record from 1-(1-F)k. This note shows that a similar result does not hold if the underlying distribution F is discrete.

Suggested Citation

  • López-Blázquez, F. & Salamanca Miño, B. & Dembinska, A., 2005. "A note on the distribution of kth records from discrete distributions," Statistics & Probability Letters, Elsevier, vol. 75(4), pages 325-330, December.
    • Handle: RePEc:eee:stapro:v:75:y:2005:i:4:p:325-330
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    References listed on IDEAS

    as
    1. Vervaat, Wim, 1973. "Limit theorems for records from discrete distributions," Stochastic Processes and their Applications, Elsevier, vol. 1(4), pages 317-334, October.
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