MOMENTS OF GENERALIZED ORDER STATISTICS FROM
NEW WEIBULL-PARETO DISTRIBUTION AND
ITS CHARACTERIZATION
M.D. Izhar Khan1, Mohd Akram Raza Khan2 1Department of Mathematics
Faculty of Science
Islamic University in Madinah
P.O. Box 170, Madinah, K. SAUDI ARABIA 2Department of Statistics & Operations Research
Aligarh Muslim University
Aligarh, 202002, INDIA
In this paper, recurrence relations for single and product moments of generalized order statistics from New Weibull-Pareto Distribution (NWPD) have been derived. The results for ordinary order statistics and k-th record values and are deduced from the relations derived. A characterization results of this distribution is also obtained. Further, means of order statistics are computed numerically for some selected values of parameters.
You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this
link.
References
[1] A.A. Ahmad and M. Fawzy, Recurrence relations for single and product moments of generalized order statistics from doubly truncated distributions, J. Stat. Plann. Infer., 17, No 2 (2002), 241-249.
[2] E.K. AL-Hussaini, A.A. M. Ahmad and M.A. AL-Kashif, Recurrence relations for moment and conditional moment genereating functions of generalized order statistics, Metrika, 61 (2005), 199-220.
[3] J.S. Hwang and G.D. Lin, On a generalized moments problem II, Proc. Amer. Math. Soc., 91 (1984), 577-580.
[4] U. Kamps, A Concept of Generalized Order Statistics. Teubner, Stuttgart (1995).
[5] M.I. Khan, M.A. R. Khan and M.A. Khan, Generalized order statistics from q-exponential type-1 distribution and its characterization. Int. J. Comp. Theo. Stat., 2, No 1 (2015), 1-6.
[6] M.I. Khan, M.A. R. Khan and M.A. Khan, Generalized order statistics from q-exponential type-II distribution and its characterization. J. Math.
Comput. Sci., 5, No 4 (2015), 507-516.
[7] D. Kumar and M.I. Khan, Relations for generalized order statistics from doubly truncated generalized exponential distribution and its characterization, Math. Sci. Lett., 2, No 1 (2013), 9-18.
[8] G.D. Lin, On a moment problem, Tohoku Math. J., 38 (1986), 595-598.
[9] N. Suleman and L. Albert, The New Weibull-Pareto Distribution, Pak. J. Stat. Oper. Res., 11, No 1 (2015), 103-114.