Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution
Abstract
In
this paper, certain recurrence relations for the
moments of minimum order statistics of a random sample of size n arising from exponential distribution
are obtained. The usefulness of these relations in evaluating the moments of
exponential minimum order statistics is also discussed.
Keywords
Exponential distribution,minimum order statistics,moments,recurrence relations
References
- [1] Arnold B.C., Balakrishnan N. and Nagaraja H.N., A First Course in Order Statistics, John Wiley, New York, 1992.
- [2] Malik H.J., Balakrishnan N. and Ahmed S.E., Recurrence Relations and Identities for Moments of Order Statistics-I: Arbitrary Continuous Distributions, Commun. Statist.–Theo. Meth., 17 (1988) 2623-2655.
- [3] Samuel P. and Thomas P.Y., An Improved form of a Recurrence Relations on the Product Moments of Order Statistics, Commun. Statist.–Theo. Meth., 29 (2000) 1559-1564.
- [4] Thomas P.Y. and Samuel P., A Note on Recurrence Relations for the Product Moments of Order Statistics, Statistics & Probability Letters, 29 (1996) 245-249.
- [5] Balakrishnan N., Malik H.J. and Ahmed S.E., Recurrence Relations and Identities for Moments of Order Statistics-II: Specific Continuous Distributions, Commun. Statist.–Theo. Meth., 17 (1988) 2657-2694.
- [6] Raqab M.Z., Generalized Exponential Distribution: Moments of Order Statistics, Statistics, 38 (2004) 29-41.
- [7] Thomas P.Y., On the Moments of Extremes from Generalized Gamma Distribution, Commun. Statist.–Theo. Meth., 25 (1996) 1825-1836.
- [8] David H.A. and Nagaraja H.N., Order Statistics, 3rd edn., John Wiley & Sons, New York, 2003.
- [9] Bekçi M., Recurrence Relations for the Moments of Order Statistics from Uniform Distribution, Scientific Research and Essay, 4-11 (2009) 1302-1305.
- [10] Khan R.U., Kumar D. and Athar H., Moments of Generalized Order Statistics from Erlang-Truncated Exponential Distribution and Its Characterization, Int. J. Stat. Syst., 5-4 (2010) 455-464.