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177 results for “Exponential”

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Research ArticleOpen accessIn the abstractModification of the Ornstein Uhlenbeck Process to Incorporate the Influence of Speculation on Volatility in Financial MarketsHendrietha Joan Hendricks, Jacob Ongala, Dismas NtirampebaFinancial market participants often speculate on how markets would behave in the light of certain information at hand. This speculation contributes to volatility within the financial market and consequently, it makes the market unstable. The Ornstein Uhlenbeck (OU) model has intensively been used in modelling volatility, however, the contribution of speculation on volatility has not been studied in the OU … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 18 Jan 2022 · 7,178 accessesView PDFCite
Research ArticleOpen accessIn the abstractObservational Study of Wind Shear in Northeastern BrazilFernando R. Martins, André R. Gonçalves, Enio B. PereiraThe wind energy share is growing fast in Brazil and a better understanding of wind speed vertical profiles is essential for accurate power density estimates. The wind shear is highly variable in space and time, being influenced by surface layer stability. Studies concerning wind vertical profiles may have a significant contribution to the Brazilian energy sector. However, wind observational data … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 3 · 12 Mar 2016 · 8,219 accessesView PDFCite
Research ArticleOpen accessIn the abstractESTIMATING LOSS SEVERITY DISTRIBUTION: CONVOLUTION APPROACHRo J. PakFinancial loss can be classified into two types such as expected loss and unexpected loss. A current definition seeks to separate two losses from a total loss. In this article, however, we redefine a total loss as the sum of expected and unexpended losses; then the distribution of loss can be considered as the convolution of the distributions of both … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 2 May 2014 · 6,898 accessesView PDFCite
Research ArticleOpen accessIn the abstractA 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 · 7,935 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamic Mathematical Modelling of Reaction Kinetics for Cyclodextrins Production from Different Starch Sources Using Bacillus macerans Cyclodextrin GlucanotransferaseSyahinaz Shahrazi, Suryani Saallah, Mohd Noriznan Mokhtar et al.This study relates to the mathematical modelling of enzymatic production of Cyclodextrins (CDs) by Cyclodextrin Glucanotransferase (CGTase) from Bacillus macerans. The experiments were carried out in batch mode using different starch sources and the results were used to estimate unknown parameters using linearization and dynamic simulation methods. α- and β-CD produced from tapioca were found to give the highest Michaelis-Menten … …American Journal of Biochemistry and Biotechnology, Vol. 9, Issue 2 · 20 Jun 2013 · 7,912 accessesView PDFCite
Research ArticleOpen accessIn the abstractComprehensive Investigation into the Exergy Values of Six Rice HusksYaning Zhang, A.E. Ghaly, Bingxi LiExergy is a measurement of how far a certain system or material deviates from a state of equilibrium with the environment and it is a useful tool for improving the efficiency of energy-resource use. Based on the previous work, the exergy values of six rice husks were investigated in this study. The effects of physical and chemical properties were also … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 2 · 10 Jun 2013 · 7,601 accessesView PDFCite
Research ArticleOpen accessIn the abstractModeling Tourist Arrivals in Destination Countries: An Application to Australian TourismS. A.H. Shobeiri Nejad, Gurudeo Anand TularamProblem statement: Little study is evident of mathematical modeling regarding tourist arrivals in South East Queensland of Australia. In this study the Bulter conceptual destination life cycle and product life cycle frameworks are used to develop an overall determinant mathematical model of Australian tourist arrivals. The model will be calibrated using real Australian data. A more complex dynamic is also … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,920 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 · 7,980 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution of Fourth Order Linear Ordinary Differential Equations by Cubic Spline Collocation Tau MethodO.A. Taiwo, O.M. OgunlaranProblem Statement: Many boundary value problems that arise in real life situations defy analytical solution; hence numerical techniques are desirable to find the solution of such equations. New numerical methods which are comparatively better than the existing ones in terms of efficiency, accuracy, stability, convergence and computational cost are always needed. Approach: In this study, we developed and applied three … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,987 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffects of Tomato Geometries and Air Temperature on the Drying Behavior of Plum TomatoM.S. Brooks, N.H. Abou El-Hana, A.E. GhalyThe drying behavior of plum tomatoes as affected by drying temperature and tomato pieces geometry was investigated. The tomato was cut into halves, quarters and eighths and dried at temperatures of 55 and 65°C. During drying, the moisture content followed an exponential decay curve with R2>0.98. The time required to achieve the critical moisture content for storage (15%) for the … …American Journal of Applied Sciences, Vol. 5, Issue 10 · 31 Oct 2008 · 7,107 accessesView PDFCite