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 abstractOn Calculating Activity Slack in Stochastic Project NetworksGary MitchellProblem statement: Identifying critical tasks in a project network is easily done when task times are deterministic, but doing so under stochastic task times is problematic. The few methods that have been proposed contain serious drawbacks which lead to identifying critical tasks incorrectly, leaving project managers without the means to (1) identify and rank the most probable sources of project … …American Journal of Economics and Business Administration, Vol. 2, Issue 1 · 31 Mar 2010 · 8,227 accessesView PDFCite
Research ArticleOpen accessIn the abstractRandom Sum of Mixtures of Sum of Bivariate Exponential DistributionsAbd El-Moneim A.M. Teamah, Ahmed M.T. Abd El-BarProblem statement: The distributions of R = X+Y and W = X/(X+Y), where X and Y follow Lawrance and Lewis`s bivariate exponential distribution, is generalized. Approach: In this research we found mixtures of sum of bivariate exponential random variables. Results: Also we calculated the probability density function (pdf) of the random sum of mixtures of sum of bivariate exponential random … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,316 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Theory of the Risks of Venture Capital FinancingEdmund H. MantellProblem statement: There is no general theory analyzing how the time-varying cash flows of venture capitalist financing affect the likelihood of success of a new venture. This research addressed that lacuna in the literature. Approach: Research in the area of venture capital financing was needed because of the importance of new ventures as germinators of technological innovation. The research in … …American Journal of Economics and Business Administration, Vol. 1, Issue 2 · 30 Jun 2009 · 7,760 accessesView PDFCite
Research ArticleOpen accessIn the abstractProbabilistic Empirical Green's Function Method in Ground Motion SimulationEhsan Khojastehfar, Amir Saedi Daryan, Mohammad Amin AssarehProblem statement: The Empirical Green's Function method is used to synthesize strong ground motion time histories.In previous simulation processes parameters were taken deterministically. Approach: In this study, the probabilistic consideration for some of these parameters was inserted to the process. For implementing this method a computer program was developed in GIS. GIS abilities for storing and processing geographic data is … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 1 · 31 Mar 2009 · 7,651 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstimation of the Mean of Truncated Exponential DistributionFaris Muslim Al-AthariProblem statement: In this study, the researcher considers the problem of estimation of the mean of the truncated exponential distribution. Approach: This study contracted with maximum likelihood and unique minimum variance unbiased estimators and gives a modification for the maximum likelihood estimator, asymptotic variances and asymptotic confidence intervals for the estimators. The properties of these estimators in small, moderate and … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,675 accessesView PDFCite
Research ArticleOpen accessIn the abstractSolving the Vehicle Routing Problem with Stochastic Demands via Hybrid Genetic Algorithm-Tabu SearchZ. Ismail, IrhamahThis study considers a version of the stochastic vehicle routing problem where customer demands are random variables with known probability distribution. A new scheme based on a hybrid GA and Tabu Search heuristic is proposed for this problem under a priori approach with preventive restocking. The relative performance of the proposed HGATS is compared to each GA and TS alone, … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 7,951 accessesView PDFCite
Research ArticleOpen accessIn the abstractStop Conditions Of BB84 Protocol Via A Depolarizing Channel (Quantum Cryptography)Iyed Ben Slimen, Olfa Trabelsi, Houria Rezig et al.BB84 (Bennett and Brassard 1984) is one of the well known protocols of quantum keys distribution. It is built to allow two interlocutors commonly called Alice and Bob to share two similar binary keys and to detect the eavesdropper presence (the eavesdropper is commonly called Eve). However, Eve presence in a disturbed environment causes errors to the sifted keys and … …Journal of Computer Science, Vol. 3, Issue 6 · 30 Jun 2007 · 7,341 accessesView PDFCite
Research ArticleOpen accessIn the abstractRainfall Depth-Duration-Frequency Relationships for South Carolina, North Carolina, and GeorgiaJ. P. Raiford, N.M. Aziz, A.A. Khan, D.N. PowellThe depth-duration-frequency curves and isopluvial maps for the region encompassing South Carolina, North Carolina, and Georgia were developed using the available rainfall data. The aim was to update the existing intensity-duration-frequency curves in the region and obtain these curves at ungauged sites throughout the region using the newly developed rainfall frequency analysis techniques. A total of 17 durations ranging from … …American Journal of Environmental Sciences, Vol. 3, Issue 2 · 30 Jun 2007 · 7,323 accessesView PDFCite