Barakat H.M.Nigm E.M.Aldallal R.A.Department of MathematicsFaculty of ScienceZagazig UniversityZagazigEgypt; Department of Mathematics and StatisticsMSA UniversityCairoEgypt2020-01-092020-01-09201412263192https://doi.org/10.1016/j.jkss.2013.09.004PubMed ID :https://cutt.ly/drRWxJyScopusIn a sequence of independent and identically distributed (iid) random variables, the upper (lower) current records and record range are studied. We derive general recurrence relations between the single and product moments for the upper and lower current records based on Weibull and positive Weibull distributions, as well as Pareto and negative Pareto distributions, respectively. Moreover, some asymptotic results for general current records are established. In addition, a recurrence relation and an explicit formula for the moments of record range based on the exponential distribution are given. Finally, numerical examples are presented to illustrate and corroborate theoretical results. � 2013 The Korean Statistical Society.EnglishOctober University for Modern Sciences and Artsجامعة أكتوبر للعلوم الحديثة والآدابUniversity of Modern Sciences and ArtsMSA UniversityCurrent recordsNegative pareto distributionPareto distributionPositive weibull distributionRecord rangeRecurrence relationsStopping timeWeak convergenceWeibull distributionArticlehttps://doi.org/10.1016/j.jkss.2013.09.004PubMed ID :