3 articles for “Product Moments”

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Research ArticleOpen accessPhrase in the titleProduct Moments of Sample Variances and Correlation for Variables with Bivariate Normal DistributionJuan Romero-PadillaA general result to obtain the product moments of two sample variances and the sample correlation when the data follow a bivariate normal distribution is derived; the result is expressed in terms of the hypergeometric function. As corollaries, two general equations are stated, one to obtain the moments of the correlation sample and one to obtain the moments of the … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 15 Mar 2016 · 7,282 accessesView PDF Cite

Research ArticleOpen accessIn the abstractOn Concomitants of Ordered Ranked Set Sampling from Morgenstern FamilyMohammed S. KotbThis paper develops the distribution theory of concomitants in the context of ordered ranked set sample from the Farlie-Gumbel-Morgenstern bivariate family. Here, we derive the joint distribution of concomitants of two ordered ranked set sample and obtain their single and product moments alongside the correlation coefficient. Finally, an application of the results in establishing the moments and the variance-covariance for … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 27 Dec 2017 · 6,965 accessesView PDF Cite

Research ArticleOpen accessIn the abstractParameter Estimation for the Double Pareto DistributionFaris M. Al-AthariProblem statement: The double Pareto distribution appeared most often as model for variety of fields, including archaeology, biology, economics, environmental science, finance and physics. The distribution exhibits Paretian power-law behavior in both tails. The family of double Pareto distributions has recently been proposed for modeling growth rates such as annual gross domestic product, stock prices, foreign currency exchange rates and … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 8,674 accessesView PDF Cite