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Research ArticleOpen accessEvery word in the titleNew 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 · 7,918 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEstimating the Claim Severity Distribution using Variable Neighborhood SearchKunjira Kingphai, Samruam ChongcharoenIn this study, Variable Neighborhood Search (VNS) is utilized to estimate the parameters of actual motor insurance claims data set and compared them obtained by the Moment Estimation Methods (MOM) and Maximum likelihood Estimation Method (MLE) which are known as a conscientious method. Then, the Kolmogorov-Smirnov test (K-S) is used to show how well the selected distribution fits the actual … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 19 Dec 2016 · 7,330 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Uniform Truncated Negative Binomial Distribution and its PropertiesBahady I. Kamel, Shaban E. Abo Youssef, Mohamed G. SiefA new three parameters continuous distribution which is named the Uniform Truncated Negative Binomial (UTNB) distribution is introduced. It has the uniform and the Marshall-Olkin extended uniform distributions as sub-models. Some reliability and statistical properties of the new distribution are derived, including the shape behavior of the density and hazard rate functions, the mean residual life, moments and moment generating … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 29 Nov 2016 · 7,312 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA 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 · 6,751 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleStatistical Modelling of Botswana’s Monthly Maximum Wind Speed using a Four-Parameter Kappa DistributionOliver Moses, Bhagabat Prasad ParidaWind speed modelling has been key to many environmental and engineering applications, particularly in environmentally friendly wind power generation to meet energy demands. Efficient assessment of wind speed at different recurrence intervals requires the choice of a suitable statistical distribution and an unbiased method of parameter estimation. This study suggests the use of a four parameter Kappa distribution, with its … …American Journal of Applied Sciences, Vol. 13, Issue 6 · 22 Jun 2016 · 7,552 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA 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 · 6,986 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleStructural Dynamics of the Distribution Mechanism with Rocking Tappet with RollFlorian Ion T. Petrescu, John Kaiser Calautit, Dragan MarinkovicIn this study, the authors present a new method to dynamically synthesize a mechanism with rotary cam and rotated tappet with roll, used with priority at the distribution mechanisms from the heat engines with internal combustion. This type of distribution can improve the changes of gases and may decrease significantly the level of vibration, noises and emissions. As long as … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 4 · 28 Oct 2015 · 9,294 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleGeometrical Synthesis of the Distribution MechanismsFlorian Ion T. PetrescuIn this study the author presents shortly some few original trigonometric methods to make the synthesis of some main distribution mechanisms. One presents four main modules of distribution mechanisms, with rotary cam and translated or rotated tappet plane or with roll, used with priority at the distribution mechanisms from the heat engines with internal combustion. These types of distribution mechanisms … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 13 Apr 2015 · 8,866 accessesView PDFCite
Research ArticleOpen accessEvery word in the title"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 · 7,316 accessesView PDFCite
Research ArticleOpen accessEvery word in the titlePerformance Analysis of Joint Degree Distribution (JDD) in Luby Transform CodesI. Joe Louis Paul, S. Radha, J. RajaLuby Transform (LT) codes, the first realization of rateless codes are widely used in wireless communication mainly for its adaptability to varying channel conditions and its capacity approaching performance. In spite of the above advantages and its simplicity in implementation, LT codes suffer from a bottle neck of premature termination due to the poor design of degree distribution. In this … …Journal of Computer Science, Vol. 11, Issue 1 · 13 Aug 2014 · 7,262 accessesView PDFCite