Üstel Dağılımdan Minimum Sıra İstatistiğinin Momentleri İçin Yinelenme İlişkileri

Bu çalışmada, üstel dağılımdan elde edilen n birimlik bir rasgele örneklemin minimum sıra istatistiğinin momentleri için belli yinelenme ilişkileri elde edilmiştir. Üstel minimum sıra istatistiğinin momentleri değerlendirilmesinde bu ilişkilerin yararlılığı ayrıca tartışılmıştır.

Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution

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.

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Arnold B.C., Balakrishnan N. and Nagaraja H.N., A First Course in Order Statistics, John Wiley, New York, 1992.
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.
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.
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.
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.
Raqab M.Z., Generalized Exponential Distribution: Moments of Order Statistics, Statistics, 38 (2004) 29-41.
Thomas P.Y., On the Moments of Extremes from Generalized Gamma Distribution, Commun. Statist.–Theo. Meth., 25 (1996) 1825-1836.
David H.A. and Nagaraja H.N., Order Statistics, 3rd edn., John Wiley & Sons, New York, 2003.
Bekçi M., Recurrence Relations for the Moments of Order Statistics from Uniform Distribution, Scientific Research and Essay, 4-11 (2009) 1302-1305.
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.
Khwaja S.K., Athar H. and Nayabuddin, Recurrence Relations for Marginal and Joint Moment Generating Function of Lower Generalized Order Statistics from Extended Type I Generalized Logistic Distribution, J. Appl. Stat. Sci., 20-1 (2012) 21-28.
Ismail A.A. and Abu-Youssef S.E., Recurrence Relations for the Moments of Order Statistics from Doubly Truncated Modified Makeham Distribution and Its Characterization, Journal of King Saud University-Science, 26 (2014) 200-204.
Nayabuddin and Athar H., Recurrence Relations for Single and Product Moments of Generalized Order Statistics from Marshall-Olkin Extended Pareto Distributions, Comm. Statist. Theory Methods, 46-16 (2017) 7820-7826.
Zarrin S., Athar H. and Abdel-Aty Y., Relations for Moments of Generalized Order Statistics from Power Lomax Distribution, J. Stat. Appl. Pro. Lett., 6-1 (2019) 29-36.