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Research ArticleOpen accessEvery word in the titleOdds Exponential Log Logistic Distribution: Properties and EstimationRosaiah Kanaparthi, Gadde Srinivasa Rao, Kruthiventi Kalyani, Devireddy Charana Udaya SivakumarWe propose a distribution called Odds Exponential Log Logistic Distribution (OELLD), which is an odds family of distribution. Its hazard rate is an increasing and decreasing function based on the value of the parameter. Explicit expressions for the ordinary moments, L-moments, quantile, generating functions, Bonferroni Curve, Lorenz Curve, Gini's index and order statistics are derived. The parameters of the proposed … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 25 Jan 2017 · 7,422 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleUnivariate Generalized Additive Models for Simulated Stationary and Non-Stationary Generalized Pareto DistributionMostafa Behzadi, Mohd Bakri Adam, Anwar FitriantoGeneralized additive models as a predictor in regression approaches, are made up over cubic spline basis and penalized regression splines. Despite of linear predictor in GLM, generalized additive models use a sum of smooth functions of covariates as a predictor. The data which are used in this study have generalized Pareto distribution and have been simulated by inversion method. The … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 3 Jun 2017 · 7,430 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRoad Safety When Drivers Use Alcohol and Marijuana: Confounded Poisson Distribution Helps to UnderstandRamalingam Shanmugam, Ram Tripathi, Karan SinghSelf-admitted users of alcohol and/or marijuana while driving haunt road safety regulating agencies in general and community groups such as Mothers Against Drunk Driving (MADD) in particular. Motivated by such data in a survey, by 6,612 drivers above 18 years old in USA during years 2013-2015, we thought of interpreting how the road safety is in the scenarios. Needless to … …International Journal of Research in Nursing, Vol. 8, Issue 1 · 3 Jun 2017 · 7,168 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 · 7,326 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 · 7,308 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 · 6,749 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 · 7,546 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 · 6,983 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 · 9,290 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 · 8,858 accessesView PDFCite