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14 articles for “Bivariate Correlation”
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Research ArticleOpen accessEvery word 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 PDFCite
Research ArticleOpen accessIn the keywordsHand Anthropometric Data for Saudi Arabia Engineering Students of Aged 20-26 Years at King Khalid UniversityMohamed A.A. MansourAnthropometric data plays a significant role in the effective and accurate design of various devices and machines. The inclusion of anthropometric data helps ensure that devices or machines are safe, user-friendly and highly productive and efficient. In this study, 56 hand dimensions based on 266 Saudi Arabian inter-university adult males aged 20-26 years are described in terms of statistics, bivariate … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 27 Sep 2016 · 8,691 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Measure of Monotonicity of two Random VariablesFarida Kachapova, Ilias KachapovProblem statement: When analyzing random variables it was useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing coefficients measure general or linear dependence of random variables. Developing a measure of monotonicity was useful for practical applications as well as for general theory, since monotonicity was an important type … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 26 May 2012 · 8,692 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCould Geometry Demystify Patterns of Earth Quakes and Aftershocks? An Answer is YesRamalingam ShanmugamIn this article, a pioneering (geometric) approach based on a new what is named here Glued Bivariate Poisson (GBP) distribution is constructed to demystify the 21st century incidences of earthquakes and their aftershocks. A warning risk index for an earthquake or an aftershock to occur is formulated and computed for each of the thirteen major tectonic plates. This article reports … …Current Research in Geoscience, Vol. 6, Issue 1 · 30 Apr 2016 · 7,655 accessesView PDFCite
Research ArticleOpen accessIn the abstractJoint Modelling of Longitudinal-Time-To-Event with Categorical Variable Indicators of Latent Classes: Application to Tuberculosis DataAdeboye Azeez, Mutambayi Ruffin, Ndege James, Qin YongsongIn many clinical and reliability research reports, the outcomes of basic interest is the time to a particular event happens in order to indicate the person’s “true” state of health or survival status. Different models have been used to analyze such data separately, but may be unsuitable if the longitudinal and health status measures are correlated. In this study, mixed … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 9 Jun 2020 · 6,686 accessesView PDFCite
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 PDFCite
Research ArticleOpen accessIn the abstractLevel of Non-Matching Primary Transplant Cases According to Repeat Transplants Cases and a New Bivariate Poisson DistributionRamalingam ShanmugamIn their practice, healthcare administrators and professionals often wonder about the non-matching level organs in transplants for the sake of future forecasting. Currently, there is no appropriate methodology to analyze the pertinent transplant data and describe the patterns. The lack of a suitable methodology in the literature originates from an incorrect impression that the primary transplant cases and the repeat … …Current Research in Medicine, Vol. 8, Issue 1 · 10 Jul 2017 · 9,151 accessesView PDFCite
Research NotesOpen accessIn the abstractNew Bivariate Wrapped DistributionsS. Nadarajah, Y. ZhangThere are not many models for bivariate directional data. Here, we introduce more than ten new bivariate wrapped distributions. For each distribution, expressions are given for the means, covariances and five correlation coefficients. …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 24 Nov 2016 · 7,005 accessesView PDFCite
Research ArticleOpen accessIn the abstractBivariate Poisson-Lindley Distribution with ApplicationHossein Zamani, Pouya Faroughi, Noriszura IsmailThis study applies a Bivariate Poisson-Lindley (BPL) distribution for modeling dependent and over-dispersed count data. The advantage of using this form of BPL distribution is that the correlation coefficient can be positive, zero or negative, depending on the multiplicative factor parameter. Several properties such as mean, variance and correlation coefficient of the BPL distribution are discussed. A numerical example is … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 12 Mar 2015 · 7,931 accessesView PDFCite
Research ArticleOpen accessIn the abstract"BIVARIATE DISTRIBUTION" FOR INFRASTRUCTURES AMONG OPERATIVE, NATURAL AND NO MENOPAUSESRamalingam ShanmugamMenopause is not an illness but rather an important event as it changes the body physiology and mental cognition via hormonal changes. During data analysis of menopauses incidence data, new bivariate distribution is discovered. Their marginal, conditional distribution and statistical properties including the inter and partial correlations are explored and utilized to interpret menopauses data. A likelihood ratio hypothesis testing … …Current Research in Biostatistics, Vol. 4, Issue 2 · 23 Aug 2014 · 7,314 accessesView PDFCite