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16 articles for “kurtosis”

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Research ArticleOpen accessEvery word in the titleAsymptotic Distribution of Coefficients of Skewness and KurtosisNarges AbbasiProblem statement: In literature, a classic method which has been used to recognize the distribution so far is the measurement of its skewedness and kurtosis. However, there remains a question: how would these measurements work for skewed normal distribution when the size of the sample is large? Approach: This research aimed to determine the asymptotic distribution of skewedness and kurtosis … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 9,582 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Robust Rescaled Moment Test for Normality in RegressionMd. Sohel Rana, Habshah Midi, A.H.M. Rahmatullah ImonProblem statement: Most of the statistical procedures heavily depend on normality assumption of observations. In regression, we assumed that the random disturbances were normally distributed. Since the disturbances were unobserved, normality tests were done on regression residuals. But it is now evident that normality tests on residuals suffer from superimposed normality and often possess very poor power. Approach: This study … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 8,260 accessesView PDFCite
Research ArticleOpen accessIn the abstractCharacterization of the Electrical Energy Consumption of Some Areas Supplied by the Lomé a Interconnection Station of the CEET in Lomé, Togo: Analysis and DiscussionKrou Iparbè, Palanga Eyouléki Tcheyi Gnadi et al.This study aims to analyze the electricity consumption of Greater Lomé (Togo), a critical issue in view of the increasing needs and imperatives of energy transition. We used 63,943 data samples from the Togo Electric Energy Company (CEET), covering eight sites spread across three municipalities over a period of 84 months (2018-2024). A multidimensional statistical approach was used to evaluate … …American Journal of Engineering and Applied Sciences, Vol. 19, Issue 1 · 21 Jan 2026 · 3,384 accessesView PDFCite
Research ArticleOpen accessIn the abstractBotanical Composition and Yields of Forages in Natural Pastures Using Principal Component Analysis and Cluster Dendrogram in South Sulawesi, IndonesiaPurnama Isti Khaerani, Yunus Musa, Renny Fatmyah Utamy, Yasuyuki IshiiThis study aims to identify the composition and yields of forages in natural pastures using principal component analysis and cluster dendrogram in Gilireng and Majauleng subdistricts, Wajo regency, South Sulawesi, Indonesia. Pasture plants were collected using 20 randomly sampled quadrats to observe the botanical composition and yields of forages. The collected data regarding legume classification is analyzed by Multivariate Analysis … …OnLine Journal of Biological Sciences, Vol. 24, Issue 4 · 13 Jun 2024 · 5,082 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks DataHisham A.H. Elsayed, Haitham M. YousofIn this study, new version from the Nadarajah Haghighi model is proposed. The introduced model has a failure rate function that may change in different directions. Statistical properties of the new density function are derived along with the analysis of variance, Skewness and Kurtosis. Parameter estimates are obtained by the method of maximum likelihood. Illustration of real data set was … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 14 Jul 2019 · 7,132 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Inverse Weibull Distribution: Properties and ApplicationsMona Mustafa Elbiely, Haitham M. YousofIn this work, we introduce a new flexible extension of the Inverse Weibull distribution. Some important mathematical properties of the proposed model are derived along with a numerical analysis of mean, variance, skewness and kurtosis measures of the proposed model. The performance of the maximum likelihood method is assesses via a comprehensive simulation studies in terms of mean squared errors. … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 25 Mar 2019 · 7,506 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Families of Distributions for Modeling Bivariate Data, with ApplicationsHaroon Barakat, Osama Mohareb Khaled, Nourhan KhalilIn this study we introduce a new method of adding two shape parameters to any baseline bivariate distribution function (df) to get a more flexible family of bivariate df's. Through the additional parameters we can fully control the type of the resulting family. This method is applied to yield a new two-parameter extension of the bivariate standard normal distribution, denoted … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 3 Apr 2018 · 7,914 accessesView PDFCite
Research ArticleOpen accessIn the abstractHand 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 abstractA NEW FAMILY OF GENERALIZED GAMMA DISTRIBUTION AND ITS APPLICATIONSatsayamon Suksaengrakcharoen, Winai BodhisuwanThe mixture distribution is defined as one of the most important ways to obtain new probability distributions in applied probability and several research areas. According to the previous reason, we have been looking for more flexible alternative to the lifetime data. Therefore, we introduced a new mixed distribution, namely the Mixture Generalized Gamma (MGG) distribution, which is obtained by mixing … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 9 Apr 2014 · 7,930 accessesView PDFCite
Research ArticleOpen accessIn the abstractADAPTIVE CLUSTER SAMPLING USING AUXILIARY VARIABLENipaporn ChutimanIn this study we study the estimators of the population mean in adaptive cluster sampling by using the information of the auxiliary variable. The estimators in this study are the classical ratio estimator, the ratio estimator using the population coefficient of variation and the coefficient of kurtosis of the auxiliary variable, the regression estimator and the difference estimator. Simulations showed … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 4 Sep 2013 · 9,894 accessesView PDFCite