Generalized Moments of Sample Extremes of Order Statistics from Discrete Uniform Distribution
Keywords:
Binomial distribution, moment, moment generating function, orders statistics, probability density function.Abstract
 More advance, I t has studied in some papers that finding of first two moments of sample extremes of order statistics from discrete uniform distribution. In this paper, these moments are generalized. Also, for sample extremes of order statistics from discrete uniform distribution, moment generating functions are obtained.Â
References
Ahsanullah, M., and Nevzorov, V. B. (2001) Ordered Random Variables. Nova Science Publishers, Inc.. New York.
Arnold, B. C., Balakrishnan, N. and Nagaraja, H. N. (1992) A First Course in Order Statistics. John Wiley and Sons. New York.
Çalik, S. and Güngör, M. (2004) On the Expected Values of the Sample Maximum of Order Statistics from a Discrete Uniform Distribution. Applied Mathematics and Computation. 157, 695-700.
Çalik, S. Güngör, M. and Colak, C. (2010) On The Moments of Order Statistics from Discrete Distributions. Pak. J. Statist.. 26(2), 417-426.
David, H. A. (1981) Order Statistics. Second Edition, John Wiley and Sons, Inc. Newyork.
David, H. A. and Nagaraja, H.N. (2003) Order Statistics. Third ed. Wiley, Hoboken, NJ.
Gokdere, G. (2014) Computing the moments of order statistics from truncated pareto distributions based on the conditional expectationâ€, Pak. J. Stat. Oper. Res., 10, 9-15.
Khatri, C. G. (1962) Distribution of Order Statistics for Discrete Case. Ann. Inst. Statist. Math.. 14, 167-171.
Mark, J.T., Marion, B.B. and Hoffman, D.D. (2010) Natural Selection and Veridical Perceptions. Journal of Theoretical Biology, 266, 504-515.
Nagaraja, H. N. (1992) Order Statistics from Discrete Distribution (with discussion). Statistics 23, 189-216.
Turan, A. (2008) Kesikli Düzgün Dağılımdaki Sıra İstatistiklerin Örnek Ekstremlerinin Mometleri, Fırat Üniv. Science Institute, Elazığ.
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