5 results for “Central limit theorem”

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Research ArticleOpen accessPhrase in the titleUsing 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 abstractConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDF Cite

Research ArticleOpen accessIn the abstractConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,012 accessesView PDF Cite

Research ArticleOpen accessIn the abstractElementary Combinatorial-Probabilistic Proof of the Wallis and Stirling FormulasMikhail KovalyovThis short note provides a remarkably simple derivation of the Wallis and Stirling formulas based on elementary estimates applied to binomial coefficients. As a byproduct an elementary proof of the central limit theorem for the binomial distribution is also obtained. …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 8,081 accessesView PDF Cite