Current records and record range with some applications

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dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorBarakat H.M.
dc.contributor.authorNigm E.M.
dc.contributor.authorAldallal R.A.
dc.contributor.otherDepartment of Mathematics
dc.contributor.otherFaculty of Science
dc.contributor.otherZagazig University
dc.contributor.otherZagazig
dc.contributor.otherEgypt; Department of Mathematics and Statistics
dc.contributor.otherMSA University
dc.contributor.otherCairo
dc.contributor.otherEgypt
dc.date.accessioned2020-01-09T20:42:13Z
dc.date.available2020-01-09T20:42:13Z
dc.date.issued2014
dc.descriptionScopus
dc.description.abstractIn 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.en_US
dc.description.urihttps://www.scimagojr.com/journalsearch.php?q=11300153404&tip=sid&clean=0
dc.identifier.doihttps://doi.org/10.1016/j.jkss.2013.09.004
dc.identifier.doiPubMed ID :
dc.identifier.issn12263192
dc.identifier.otherhttps://doi.org/10.1016/j.jkss.2013.09.004
dc.identifier.otherPubMed ID :
dc.identifier.urihttps://cutt.ly/drRWxJy
dc.language.isoEnglishen_US
dc.publisherKorean Statistical Societyen_US
dc.relation.ispartofseriesJournal of the Korean Statistical Society
dc.relation.ispartofseries43
dc.subjectOctober University for Modern Sciences and Arts
dc.subjectجامعة أكتوبر للعلوم الحديثة والآداب
dc.subjectUniversity of Modern Sciences and Arts
dc.subjectMSA University
dc.subjectCurrent recordsen_US
dc.subjectNegative pareto distributionen_US
dc.subjectPareto distributionen_US
dc.subjectPositive weibull distributionen_US
dc.subjectRecord rangeen_US
dc.subjectRecurrence relationsen_US
dc.subjectStopping timeen_US
dc.subjectWeak convergenceen_US
dc.subjectWeibull distributionen_US
dc.titleCurrent records and record range with some applicationsen_US
dc.typeArticleen_US
dcterms.isReferencedByAhmadi, J., Balakrishnan, N., Confidence intervals for quantiles in terms of record range (2004) Statistics & Probability Letters, 68, pp. 1955-1963; Ahmadi, J., Balakrishnan, N., Preservation of some reliability properties by certain record statistics (2005) Statistics, 39, pp. 347-354; Ahmadi, J., Balakrishnan, N., Prediction intervals for future records (2008) Statistics & Probability Letters, 78, pp. 395-405; Ahmadi, J., Balakrishnan, N., Distribution-free prediction intervals for order statistics based on record coverage (2011) Journal of the Korean Statistical Society, 40, pp. 181-192; Ahmadi, J., Razmkhaha, M., Balakrishnan, N., Current k-records and their use in distribution-free confidence intervals (2009) Statistics & Probability Letters, 79, pp. 29-37; Arnold, B.C., Balakrishnan, N., Nagaraja, H.N., (1998) Records, , Wiley, New York; Barakat, H.M., Continuability of local weak limits for record values (2010) Statistics, 44 (3), pp. 269-274; Basak, P., An application of record range and some characterization results (2000) Advances on theoretical and methodology aspects of probability and statistics, pp. 83-95. , Gordon and Breach Science Publishers, New york, N. Balakrishnan (Ed.); Galambos, J., (1987) The asymptotic theory of extreme order statistics, , Krieger, FL; Houchens, R.L., (1984), Record value, theory and inference, Ph.D. dissertation, University of California, Riverside, CA; Jankov, D., (2011), Integral expressions for series of functions of hypergeometric and Bessel types, Ph.D. dissertation, University of Zagreb; Johnson, N.L., Kotz, S., (1970) Continuous univariate ditributions-1, , Houghton Mifflin Company, Boston; Raqab, M.R., Distribution-free prediction intervals for the future current record statistics (2009) Statistical Papers, 50, pp. 429-439; Resnik, S.I., Limit laws for record values (1973) Stochastic Processes and their Applications, 1, pp. 67-82; Smirnov, N.V., Limit distributions for the terms of a variational series (1952) American Mathematical Society Translations, Series 1, 67. , Original published in 1949; Wu, C.Y., The types of limit distributions for terms of variational series (1966) Scientia Sinica, 15, pp. 749-762
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