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85 articles for “Normal Distribution”
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Research ArticleOpen accessIn the keywordsNew 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 keywordsInvestigation and Comparison of the Quantitative and Qualitative Frequency Distribution of the RiversVijay P. Singh, Mohsen Ghane, Kaveh Ostad-Ali-Askari et al.The entrance of pollutants from human activities to the surface water has seriously threatened the quality of water. TDS is an important qualitative parameter of water that describes the water salinity by measuring the concentration of total dissolved solids. First, using TDS and discharge data of the Cuyahoga River, Ohio, the partial and annual data sets were obtained. Then, partial … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 4 · 16 Oct 2017 · 8,487 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Study on the Effects of Non-Normality on the Performances of Max-DEWMA Versus SS-DEWMA ChartsTeh Sin Yin, Michael Khoo Boon ChongProblem statement: The called the Sum of Squares Double Exponentially Weighted Moving Average (SS-DEWMA) chart which is effective in detecting shifts in the mean and/or variance is compared with the Max-DEWMA (called the maximum double exponentially weighted moving average) chart. The comparison is based on the assumption that the distribution of the quality characteristic of the process is normal or … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 18 Jan 2012 · 7,188 accessesView PDFCite
Research ArticleOpen accessIn the keywordsUsing Robust Statistics, Exploring Document Analysis and Gis for Defining and Localizing Geochemical Anomalies-Case Study in Sin Quyen Copper Mine, Lao Cai Province, Viet NamQuoc Lap Kieu, Huu Tap VanApplication of robust statistic and Exploratory Data Analysis (EDA) as well as the support of Geography Information System (GIS) for defining and assessing geochemical anomalies. The research was conducted in Sin Quyen copper mine, Lao Cai province, Viet Nam with 1,284 combination of aquatic sedimentary geochemical sample in scale of 1/200,000. The area of 5,717.8 km2 was chosen to make … …Current Research in Geoscience, Vol. 7, Issue 2 · 1 Aug 2017 · 8,404 accessesView PDFCite
Research ArticleOpen accessIn the keywordsModeling Positive Time Series Data: A Neglected Aspect in Time Series CoursesMaman A. Djauhari, Lee Siaw Li, Rohayu Mohd SallehSomething has been forgotten in time series courses, in particular, when dealing with positive datasets. To describe the pattern hidden in this type of datasets, before we use a sophisticated method of modeling such as Autoregressive Integrated Moving Average (ARIMA), we propose to check first whether the data represent a Geometric Brownian Motion (GBM) process. If it is affirmative, unlike … …American Journal of Applied Sciences, Vol. 13, Issue 7 · 1 Jul 2016 · 7,533 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPrediction in Complex Dimension Using Kolmogorov's Set of AxiomsAbdo Abou Jaoude, Khaled El-Tawil, Seifedine KadryProblem statement: The five basic axioms of Kolmogorov define the probability in the real set of numbers and do not take into consideration the imaginary part which takes place in the complex set of numbers, a problem that we are facing in many engineering systems. Approach: Evaluate the complex probabilities by considering supplementary new imaginary dimensions to the event occurring … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 8,519 accessesView PDFCite
Research ArticleOpen accessIn the keywordsElementary 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 PDFCite
Research ArticleOpen accessIn the keywordsModelling the Effect of Salinity on the Multivariate Distribution of a Water Quality IndexDaniela cocchi, Michele scagliariniSalinity is a tracer of water and nutrient flows and is employed in studies on coastal environment to establish the coastal or remote origins of pollutants and nutrients. The present article analyses the effects of salinity on the multivariate distribution of the Trophic Index TRIX. The approach taken is based on a multivariate nested model with salinity as an explicative … …Journal of Mathematics and Statistics, Vol. 1, Issue 4 · 31 Dec 2005 · 5,915 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMODEL BUILDING FOR AUTOCORRELATED PROCESS CONTROL: AN INDUSTRIAL EXPERIENCEM. A. Djauhari, S. L. Lee, Z. IsmailWe show that many time series data are governed by Geometric Brownian Motion (GBM) law. This motivates us to propose a procedure of time series model building for autocorrelated process control that might consist of two steps. First, we test whether the process data are governed by GBM law. If it is affirmative, the appropriate model is directly given by … …American Journal of Applied Sciences, Vol. 11, Issue 6 · 29 Mar 2014 · 6,624 accessesView PDFCite
Research ArticleOpen accessIn the keywordsReliability of Axially Loaded Fiber-Reinforced-Polymer Confined Reinforced Concrete Circular ColumnsVenkatarman Nagaradjane, Pulipaka Narasimharao Raghunath, Kannan SugunaMonte-Carlo simulation based procedure was applied for assessing the reliability of Fiber Reinforced Polymer (FRP) confined reinforced concrete columns. Assessment of reliability provides a quantitative measure of effectiveness of repair. Problem Statement: The procedure presented in the paper could be used for assessing the reliability of reinforced concrete columns before and after the application of FRP wrap, thus helping to … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 1 · 31 Jan 2009 · 7,974 accessesView PDFCite