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On the moments of order statistics from the standard two-sided power distribution | ||
| Journal of Mathematical Modeling | ||
| مقاله 1، دوره 7، شماره 4، اسفند 2019، صفحه 381-398 اصل مقاله (597.52 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.12908.1252 | ||
| نویسندگان | ||
| Zuber Akhter* 1؛ S.M.T.K. MirMostafaee2؛ Haseeb Athar3 | ||
| 1Department of Statistics, University of Delhi, Delhi 110007, India | ||
| 2Department of Statistics, University of Mazandaran, Babolsar, Iran. | ||
| 3Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA. | ||
| چکیده | ||
| In this paper, we obtain new explicit expressions for the single and product moments of order statistics from the standard two-sided power (STSP) distribution. These expressions can be used to compute the means, variances and the covariances of order statistics from the STSP distribution. We also have a glance at the application of the results to the lifetimes of the coherent systems. Two real data examples are given to illustrate the flexibility of the STSP distribution. | ||
| کلیدواژهها | ||
| Coherent systems؛ explicit expressions؛ product moments؛ standard two-sided power distribution | ||
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