5 articles for “Law of Large Numbers”

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Research ArticleOpen accessPhrase in the titleTHE COMPLEX STATISTICS PARADIGM AND THE LAW OF LARGE NUMBERSAbdo Abou JaoudeThe five basic axioms of Kolmogorov define the probability in the real set R and do not take into consideration the imaginary part which takes place in the complex set C, a problem that we are facing in applied mathematics. Whatever the probability distribution of the random variable in R is, the corresponding probability in the whole set C equals … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 8,199 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsComplete Convergence of Exchangeable SequencesGeorge StoicaWe prove that exchangeable sequences converge completely in the Baum-Katz sense under the same conditions as i.i.d. sequences do. Problem statement: The research was needed as the rate of convergence in the law of large numbers for exchangeable sequences was previously obtained under restricted hypotheses. Approach: We applied powerful techniques involving inequalities for independent sequences of random variables. Results: We … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,741 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsUsing the Spreadsheet to Understand Random Sampling Procedures in Relation to the Central Limit TheoremRamzi Naim NasserIn many statistics courses in colleges and universities, random sampling has not been presented to students through a hands-on and practical approach. This research described a real-life method to random sampling was used as an exercise in the statistics class. The method allowed students to recursively select 5, 10, 20, 30, 40, 50, 60 and 70 samples and list these … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 6,977 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsConstruction and Application of a Statistical Test for Coefficient of Variation on Normal DistributionsSolly Matshonisa Seeletse, Gezani Richman MiyambuIn this study a novel statistical test is derived for the Coefficient of Variation (CV) under normal distributions. This is a newly derived test with value to engineering sciences in aspects of production of accurate items. The CV can measure the precision of a measuring instrument, among other applications. In order to determine instrument reliability, start by generating measures using … …American Journal of Applied Sciences, Vol. 14, Issue 11 · 11 Nov 2017 · 7,850 accessesView PDF Cite

Research ArticleOpen accessIn the abstractImplementation of IP Video Streaming Software to Identify Availability and AudienceVitor Chaves de Oliveira, Sérgio Bimbi Junior, Andreiwid Sheffer Corrêa et al.The perpetual rise of the video on demand is currently one of the leading challenges the telecommunications industry faces. It per passes the eternal comparison with a service that continuously set’s the bar at a highly elevated consumer quality. And the user, advertiser and all stakeholders involved not only are used to it, but demand equal and/or similar value, i.e., … …Journal of Computer Science, Vol. 14, Issue 7 · 11 Jun 2018 · 8,595 accessesView PDF Cite