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167 articles for “Distributions”

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Research ArticleOpen accessIn the keywordsCreating Improved Models of Business Processes Through Statistical Analysis of Customer Orders with Multiple Types of ComplexityRaschid Ijioui, Heike Emmerich, Jürgen Hubert, Frank SchillerTo gain a better understanding of the internal work processes in service-oriented supply chains, it is very important to design models that are able to realistically describe the components of the supply chain. To meet this goal, it is necessary to find suitable statistical distributions of the processing times for the orders passing the chain. In this article we examine … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,854 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNew Bivariate Exponentiated Modified Weibull DistributionAbdelfattah Mustafa, Mohamed A.W. MahmoudThe new modified Weibull distribution named exponentiated modified Weibull distribution introduced by many authors. In this study, we define and study a bivariate modified Weibull distribution. Some joint probability functions and conditional probability density function are obtained. Also, joint survival function is expressed in compact form. Several statistical properties of this distribution are discussed. In the area of stress-strength models, … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 31 Oct 2017 · 7,000 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Bivariate Distribution with Generalized Quadratic Hazard Rate MarginalsAbdelfattah MustafaRecently, Sarhan (2009) introduced a new distribution named generalized quadratic hazard rate distribution. In this study, we define a bivariate Generalized Quadratic Hazard Rate Distribution (BGQHRD). The joint cumulative distribution function and joint survival function are derived in compact forms. Several properties of BGQFRD have been discussed. The conditional probability density function, rth moments and joint and marginal moment generating … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 3 Nov 2016 · 6,749 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Comparative Analysis on the Performance of the Convoluted Exponential Distribution and the Exponential Distribution in Terms of FlexibilityEnahoro Alfred Owoloko, Pelumi Emmanuel Oguntunde, Adebowale Olusola AdejumoIn this article, the convoluted exponential distribution which was derived as the sum of two independent exponentially distributed random variables was compared with the exponential distribution in terms of flexibility when applied to four real data sets. The idea is to verify if the convoluted exponential distribution would perform better than the exponential distribution in modeling real life situations. Some … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 15 Apr 2016 · 6,983 accessesView PDFCite
Research ArticleOpen accessIn the keywordsVisual Curvatures of H1N1 Incidences in African, Asian, European, American and Oceanic NationsRamalingam ShanmugamThe World Health Organization (WHO) was worried about the outbreak of H1N1 epidemic worldwide as it consumed several human lives. In a novel manner, this article defines, computes and illustrates the effectiveness of health administrators’ efforts to extinguish pandemic H1N1 using curvature concept. Data on weekly incidences of H1N1 in year 2009 among the nations in Africa, Asia, Europe, Americas … …Current Research in Medicine, Vol. 6, Issue 2 · 29 Oct 2015 · 6,942 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCOMPLEX PROBABILITY THEORY AND PROGNOSTICAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 9 Dec 2013 · 7,586 accessesView PDFCite
Research ArticleOpen accessIn the keywordsReliability Equivalence Factors of a System with 2 Non-identical Mixed Lifetimes and Delayed TimeAbdelfattah Mustafa, Adel A. El-FaheemProblem statement: In reliability theory and operations research, there are many methods and techniques to improve the performance of a system. The aim of this study is to generalize reliability equivalence technique to apply it to a mixed failure lifetimes system f1 (t), f2 (t) with delayed time. Approach: We shall improve the system by using some reliability techniques: (i) … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 29 Jul 2011 · 7,548 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDynamic Bayesian Networks in Classification-and-Ranking Architecture of Response GenerationAida Mustapha, Md. Nasir Sulaiman, Ramlan Mahmod, Mohd. Hasan SelamatProblem statement: The first component in classification-and-ranking architecture is a Bayesian classifier that classifies user utterances into response classes based on their semantic and pragmatic interpretations. Bayesian networks are sufficient if data is limited to single user input utterance. However, if the classifier is able to collate features from a sequence of previous n-1 user utterances, the additional information may … …Journal of Computer Science, Vol. 7, Issue 1 · 27 Dec 2010 · 8,104 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Mean-Variance Portfolio Optimal Under Utility PricingHürlimann WernerAn expected utility model of asset choice, which takes into account asset pricing, is considered. The obtained portfolio selection problem under utility pricing is solved under several assumptions including quadratic utility, exponential utility and multivariate symmetric elliptical returns. The obtained unique solution, called optimal utility portfolio, is shown mean-variance efficient in the classical sense. Various questions, including conditions for complete … …Journal of Mathematics and Statistics, Vol. 2, Issue 4 · 31 Dec 2006 · 6,172 accessesView PDFCite
Research ArticleOpen accessIn the abstractAbsolute Measures of Interindividual Variation: A Simulation StudyJosé Moral-de la RubiaFour absolute measures and one relative measure of interindividual variability have been defined, together with their point and interval estimation (bootstrap and asymptotic), and an R script has been developed for their computation. However, further simulation studies are required to strengthen their methodological evaluation. This study focused on the three absolute measures with potentially better regularity conditions, Mean Interindividual Differences … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 4 Aug 2026 · 957 accessesView PDFCite