Research ArticleOpen accessPhrase 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 accessPhrase in the titleThe Development of Parameter Estimation on Hazard Rate of Trivariate Weibull DistributionIrfan Wahyudi, Purhadi, Irhamah, SutiknoIn this study, the interrelation concepts of trivariate distribution function, trivariate survival function, trivariate probability density function and trivariate hazard rate function of trivariate Weibull distribution are presented. The goal of this contribution is to estimate the trivariate Weibull hazard rate parameters. To reach this goal, we will use an analitical approach in estimating called the Maximum Likelihood Estimation (MLE) … …Current Research in Biostatistics, Vol. 2, Issue 2 · 11 Aug 2012 · 8,923 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleEarthquake Risk Management Strategy Plan Using Nonparametric Estimation of Hazard RateAflaton Amiri, Ramin TabatabaeiEarthquake risk is defined as the product of hazard and vulnerability studies. The main aims of earthquake risk management are to make plans and apply those for reducing human losses and protect properties from earthquake hazards. Natural risk managers are studying to identify and manage the risk from an earthquake for highly populated urban areas. They want to put some … …American Journal of Applied Sciences, Vol. 5, Issue 5 · 31 May 2008 · 6,744 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAlpha Power Inverted Exponentiated Weibull Distribution with Data ApplicationsAbdulkareem M. BasheerA novel extension of the Inverted Exponentiated Weibull (IEW) distribution is achieved through the utilization of the generator Alpha Power (AP) transformation. The resulting extended distribution is denoted as the Alpha Power Inverted Exponentiated Weibull (APIEW) distribution, which encompasses various sub-models. The statistical characteristics of the newly proposed distribution are established, encompassing the hazard rate function, mean residual life, mean … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 21 Dec 2024 · 8,370 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe 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 accessIn the keywordsProportional Hazard Inverse Weibull Distribution and Associated InferenceSuja M. Aboukhamseen, Mohamed E. Ghitany, Ramesh C. GuptaIn this study, we have considered the proportional hazard version of the inverse Weibull distribution. It has been shown that the density and hazard rate functions are unimodal and the mean residual life function is bathtub shaped. For the considered model, many functions of the parameters, such as the mean, variance, coefficient of variation and the critical points of the … …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 18 Apr 2016 · 7,385 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA 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 keywordsLENGTH BIASED BETA-PARETO DISTRIBUTION AND ITS STRUCTURAL PROPERTIES WITH APPLICATIONNareerat Nanuwong, Winai BodhisuwanThe concept of length biased distribution can be employed in development of proper models for lifetime data. Its method is adjusting the original probability density function from real data and the expectation of those data. This adjustment can bring about to correct conclusions of models. Therefore, we introduced the Length Biased Beta-Pareto (LBBP) distribution, so-called a new generalized of Pareto … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 11 Jan 2014 · 7,237 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAdhoc on Demand Multipath Reliable and Energy Aware Quality of Service Routing for Mobile Adhoc NetworksV. Thilagavathe, K. DuraiswamyProblem statement: In a mobile adhoc network, there are a number of challenges for providing quality of service routing for multimedia applications and real time applications like voice transmission. The QoS parameters considered in this study are link reliability and energy consumption. Existing studies estimate the link reliability constraint between two nodes using exponentially distributed epoch lengths. The major problem … …Journal of Computer Science, Vol. 8, Issue 2 · 7 Nov 2011 · 7,842 accessesView PDFCite
Research ArticleOpen accessIn the keywordsReliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM CopulaNeama Salah Youssef TemrazThis paper analyze a parallel system consisted of n dependent components with lifetimes follow Weibull distribution. FGM Copula in multivariate case is used to generate the reliability function of the original system. Reduction method is introduced to improve system reliability. Other methods of hot, cold and warm duplication are established to improve system reliability. An application using real time data … …American Journal of Applied Sciences, Vol. 15, Issue 1 · 3 Feb 2018 · 7,940 accessesView PDFCite