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P-Norm bounds for moments of progressive type II censored order statistics

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  • Z. Raqab, Mohammad

Abstract

In this paper, we present p-norm bounds for the moments of progressive type II censored order statistics, measured in scale units generated by absolute moments of the parent distribution of a single observation. The bounds are established based on combining the Moriguti monotone approximations with the Hölder inequality. We also determine the distributions for which the bounds are attained. Further, the bounds are evaluated and compared with other classical ones.

Suggested Citation

  • Z. Raqab, Mohammad, 2003. "P-Norm bounds for moments of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 64(4), pages 393-402, October.
    • Handle: RePEc:eee:stapro:v:64:y:2003:i:4:p:393-402
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    References listed on IDEAS

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    1. Raqab, Mohammad Z., 1997. "Bounds based on greatest convex minorants for moments of record values," Statistics & Probability Letters, Elsevier, vol. 36(1), pages 35-41, November.
    2. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
    3. Tomasz Rychlik, 2001. "Stability of Order Statistics under Dependence," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 877-894, December.
    4. Arnold, Barry C., 1985. "p-Norm bounds on the expectation of the maximum of a possibly dependent sample," Journal of Multivariate Analysis, Elsevier, vol. 17(3), pages 316-332, December.
    5. L. Gajek & U. Gather, 1991. "Moment inequalities for order statistics with applications to characterizations of distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 38(1), pages 357-367, December.
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    Cited by:

    1. Ayman M. Abd-Elrahman & Khalaf S. Sultan, 2007. "Reliability estimation based on general progressive censored data from theWeibull model: comparison between Bayesian and classical approaches," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 239-257.
    2. Anna Dembińska, 2007. "Comments on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 262-264, August.

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