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On a recurrence relation for order statistics

Author

Listed:
  • Sathe, Y. S.
  • Dixit, U. J.

Abstract

For n random variables a recurrence relation for the joint distribution function of the rth and sth order statistics is derived without any assumption about the joint distribution function of the n random variables.

Suggested Citation

  • Sathe, Y. S. & Dixit, U. J., 1990. "On a recurrence relation for order statistics," Statistics & Probability Letters, Elsevier, vol. 9(1), pages 1-4, January.
    • Handle: RePEc:eee:stapro:v:9:y:1990:i:1:p:1-4
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    Citations

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    Cited by:

    1. N. Balakrishnan & S. Bendre & H. Malik, 1992. "General relations and identities for order statistics from non-independent non-identical variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(1), pages 177-183, March.
    2. Aaron Childs, 2003. "Higher order moments of order statistics from INID exponential random variables," Statistical Papers, Springer, vol. 44(2), pages 151-167, April.
    3. David, H. A., 1995. "On recurrence relations for order statistics," Statistics & Probability Letters, Elsevier, vol. 24(2), pages 133-138, August.

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