Research ArticleOpen accessIn the keywordsEstimating 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 accessIn the abstractNegative Binomial-Lindley Distribution and Its ApplicationHossein Zamani, Noriszura IsmailProblem statement: The modeling of claims count is one of the most important topics in actuarial theory and practice. Many attempts were implemented in expanding the classes of mixed and compound distributions, especially in the distribution of exponential family, resulting in a better fit on count data. In some cases, it is proven that mixed distributions, in particular mixed Poisson … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 15,678 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordEMPIRICAL LIKELIHOOD ESTIMATION BASED ON SIMULATED MOMENT CONDITIONSXing WangIn this study we discuss the optimization of the Empirical Likelihood (EL) criterion function when the moment condition is nonstandard. We deal with this issue following the Method of Simulated Moment (MSM) introduced and we use importance sampling method to smooth discrete moment conditions. We have demonstrated the convergence and asymptotic normality of the empirical likelihood estimator from the simulated … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 6,770 accessesView PDFCite