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35 articles for “poisson distribution”
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Research ArticleOpen accessIn the abstractApproximation of Aggregate Losses Using SimulationMohamed Amraja Mohamed, Ahmad Mahir Razali, Noriszura IsmailProblem statement: The modeling of aggregate losses is one of the main objectives in actuarial theory and practice, especially in the process of making important business decisions regarding various aspects of insurance contracts. The aggregate losses over a fixed time period is often modeled by mixing the distributions of loss frequency and severity, whereby the distribution resulted from this approach … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,666 accessesView PDFCite
Research ArticleOpen accessIn the abstractModel for Analyzing Counts with Over-,Equi-and Under-Dispersion in Actuarial StatisticsNaushad Mamode Khan, Maleika Heenaye-Mamode KhanProblem statement: Actuarial science has grown much popularity in the recent years due to the growth of insurance companies. In practice, the data involved in actuarial science are mostly counts which may be over-,equi-or under-dispersed. Many probability distributions were proposed to model such data such as the mixed Poisson distributions. However, the estimation methodologies based on such mixed Poisson distributions … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,602 accessesView PDFCite
Research ArticleOpen accessIn the abstractApplication of a Statistical Model to Biological Data Analysis: Exclusive BreastfeedingNaushad Mamode Khan, Cheika Jahangeer, Daya Goburdhun, Maleika Heenaye-Mamode KhanProblem statement: Breastfeeding is of utmost importance in the maternal life of a woman, particularly exclusive breastfeeding. Exclusive breastfeeding during the first 6 months of life supports optimal growth and development during infancy and reduces the risk of obliterating diseases and problems. Many probability distributions were proposed to model such data such as the mixed Poisson distributions. However, the estimation … …Current Research in Biostatistics, Vol. 1, Issue 1 · 30 Jun 2010 · 10,818 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 accessIn the abstractTransient Solution to an infinite Server Queue with Varying Arrival and Departure RateA. A. El-SherbinyProblem statement: In many potential application of queueing theory, the transient solution of queueing system is important. Approach: This study presented the transient solution for infinite server queues with Poisson arrivals and exponential service times when the parameters of both distributions are allowed to vary with time. Based on generating functions technique which results in a simple differential equation. Using … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,977 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Analysis for The FGM Thick Cylinders Under Combined Pressure and Temperature LoadingK. Abrinia, H. Naee, F. Sadeghi, F. DjavanroodiAn analytical solution for computing the radial and circumferential stresses in a FGM thick cylindrical vessel under the influence of internal pressure and temperature is presented in this paper. It has been assumed that the modulus of elasticity and thermal coefficient of expansion were varying through thickness of the FGM material according to a power law relationship. Nevertheless the value … …American Journal of Applied Sciences, Vol. 5, Issue 7 · 31 Jul 2008 · 7,123 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimal Control of the D-Policy M/G/1 Queueing System with Server BreakdownsKuo-Hsiung Wang, Ching-Chang Kuo, Jau-Chuan KeThis study deals with a single server in the D-policy M/G/1 queueing system in which the server is turned off at the end of each complete period and is activated again only when the cumulative completion times of the customers in the system exceeds a given level D. While the server is working, he is subject to breakdowns according to … …American Journal of Applied Sciences, Vol. 5, Issue 5 · 31 May 2008 · 6,604 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamics of Infected Snails and Mated Schistosoma Worms within the Human HostG. Besigye-Bafaki, L. S. LuboobiMale and female worms are independently distributed within a human host each with a Poisson probability distribution mass function. Mating takes place immediately when partners are available. It was found that the mated worm function is non-linear near the origin and becomes almost linear as the worms increase. They increase with increase in the worm load due to aggregation of … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,237 accessesView PDFCite
Research ArticleOpen accessIn the abstractSystem Availability in the Presence of Estimating Common-cause Time-varying Failure RatesM. A. El-Damcese, Kh. A. Abd AlttifThis study presents a method for calculating the availability of a system depicted by availability block diagram, with identically distributed components, in the presence of estimating common cause hazard, we use the Marshall and Olkin formulation of the multivariate exponential distribution. That is, the components are subject to failure by Poisson failure processes that govern simultaneous failure of a specific … …American Journal of Applied Sciences, Vol. 2, Issue 4 · 30 Apr 2005 · 6,732 accessesView PDFCite
Research ArticleOpen accessIn the abstractENHANCEMENT AND COMPARISON OF ANT COLONY OPTIMIZATION FOR SOFTWARE RELIABILITY MODELSLatha Shanmugam, Lilly FlorenceIn Common parlance, the traditional software reliability estimation methods often rely on assumptions like statistical distributions that are often dubious and unrealistic. The ability to predict the number of faults during development phase and a proper testing process helps in specifying timely release of software and efficient management of project resources. In the Present Study Enhancement and Comparison of Ant … …Journal of Computer Science, Vol. 9, Issue 9 · 6 Aug 2013 · 6,561 accessesView PDFCite