Recurrence relations for inverse and ratio moments of generalized order statistics from doubly truncated

Authors

  • Eldesoky E. Afify Girls College Education Al Qassim, Al Maznab

DOI:

https://doi.org/10.6092/issn.1973-2201/3540

Abstract

In this article, some recurrence relations of inverse and ratio moments for generalized order statistics from doubly truncated and non-truncated generalized exponential distribution are derived. From our results, we deduce the recurrence relations for single and product moments of generalized order statistics from general class distribution obtained by Haseeb and Hassan (2004), also we deduce the recurrence relations for single and product moments of order statistics from generalized exponential distribution obtained by Saran and Pushkarna (2000).

References

A. A. AHMAD (2007), Recurrence relations for single and product moments of generalized order statistics from doubly truncated Burr XII distribution, “Journal Egypt, Math. Soc.”, pp. 117-128.

A.H. DAVID (1981), Order statistics. Second edition, NewYork, John Wiley & Sons, 1981.

HASEEB ATHAR AND HASAN MATEEN-UL ISLAM (2004), Recurrence relations for single and product moments of generalized order statistics from a general class of distribution, “Metron”, Vol. LXII, n. 3, pp. 327-337.

J. PICKANDS (1975), Statistical inference using extreme order statistics, “The annals of Statistics”, 3, pp. 119-131.

J. SARAN AND N. PUSHKARNA (2000), Relationships for moments of order statistics from a generalized exponential distribution, “Statistica”, LX, No. 3, pp. 585-595.

P. C. JOSHI (1978), Recurrence relations between moments of order statistics from exponential and truncated exponential distributions, “Sankhya” B 39, pp. 362-371.

P. C. JOSHI (1982), A note on the mixed moments of order statistics from exponential and truncated exponential distributions, “Journal of Statistics Plan.” 6, pp. 13-16.

P. C. JOSHI AND N. BALAKRISHNAN (1982), Recurrence relations for the product moments of order statistics, “Sankhya” B 44, pp. 39-49.

P. PAWLAS AND D. SZYNAL (2001a), Recurrence relations for single and product moments of generalized order statistics from Pareto, generalized Pareto and Burr distribution, “Commun. Statist. – Theory Meth.”, 30(4), pp. 739-746.

P. PAWLAS AND D. SZYNAL (2001b), Recurrence relations for single and product moments of lower generalized order statistics from the inverse Weibull distributions, “Demonstratio Mathematica”, XXXIV (2), pp. 353-358.

U. KAMPS (1995), A concept of generalized order statistics, B. G. Teubner, Stuttgart.

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Published

2008-12-31

How to Cite

Afify, E. E. (2008). Recurrence relations for inverse and ratio moments of generalized order statistics from doubly truncated. Statistica, 68(3/4), 365–374. https://doi.org/10.6092/issn.1973-2201/3540

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Articles