caa a22 4500 606196560 CHVBK 20210128100925.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10260-015-0306-y doi (NATIONALLICENCE)springer-10.1007/s10260-015-0306-y Expressions for moments of order statistics and records from the skew-normal distribution in terms of multivariate normal orthant probabilities [Elektronische Daten] [Mahdi Salehi, Mahdi Doostparast] In designs of experiments and reliability analyze, order statistics (OS) are used for various purposes including model checking, estimations of parameters and prediction. Most of these procedures are defined on the basis of expectations of OS problems. In this paper, explicit expressions for central moments of OS coming from the skew-normal (SN) distribution are derived. The SN model enjoys interesting properties from the normal distribution while captures asymmetric behavior in the parent population. Another important topic which is related to OS is record statistics. These data are arising in some practical situations including shock models, sports and epoch times of a non-homogeneous Poisson processes. Here, we derive moments of the upper and the lower record values arising from the skew normal distribution. The obtained results may be used for prediction purposes such as predictive maintenance in a repairable system and prediction of performance of a transmission oil pipeline. Some real data sets are analyzed using the results obtained for illustration purposes. Springer-Verlag Berlin Heidelberg, 2015 Order statistics nationallicence Record values nationallicence Goodness-of-fit tests nationallicence Unified skew normal distribution nationallicence Salehi Mahdi Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, 91775, Mashhad, Iran aut Doostparast Mahdi Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, 91775, Mashhad, Iran aut Statistical Methods & Applications Springer Berlin Heidelberg 24/4(2015-11-01), 547-568 1618-2510 24:4<547 2015 24 10260 https://doi.org/10.1007/s10260-015-0306-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10260-015-0306-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Salehi Mahdi Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, 91775, Mashhad, Iran aut NATIONALLICENCE 700 1- Doostparast Mahdi Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, 91775, Mashhad, Iran aut NATIONALLICENCE 773 0- Statistical Methods & Applications Springer Berlin Heidelberg 24/4(2015-11-01), 547-568 1618-2510 24:4<547 2015 24 10260