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Sharp bounds on expectations of kth record spacings from restricted families


  • Danielak, Katarzyna
  • Raqab, Mohammad Z.


We derive sharp upper bounds on expectations of increments of consecutive kth record statistics based on independent samples from restricted families of distributions: the ones with decreasing density and failure rate. The results are obtained by means of projection method.

Suggested Citation

  • Danielak, Katarzyna & Raqab, Mohammad Z., 2004. "Sharp bounds on expectations of kth record spacings from restricted families," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 175-187, August.
  • Handle: RePEc:eee:stapro:v:69:y:2004:i:2:p:175-187

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    References listed on IDEAS

    1. Gajek, Leslaw & Rychlik, Tomasz, 1996. "Projection Method for Moment Bounds on Order Statistics from Restricted Families: I. Dependent Case," Journal of Multivariate Analysis, Elsevier, vol. 57(1), pages 156-174, April.
    2. Gajek, Leslaw & Rychlik, Tomasz, 1998. "Projection Method for Moment Bounds on Order Statistics from Restricted Families, : II. Independent Case," Journal of Multivariate Analysis, Elsevier, vol. 64(2), pages 156-182, February.
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    Cited by:

    1. Jafar Ahmadi & Mohammad Jafari Jozani & √Čric Marchand & Ahmad Parsian, 2009. "Prediction of k-records from a general class of distributions under balanced type loss functions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 70(1), pages 19-33, June.
    2. Klimczak, Monika & Rychlik, Tomasz, 2004. "Maximum variance of Kth records," Statistics & Probability Letters, Elsevier, vol. 69(4), pages 421-430, October.


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