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NEW APPROACH TO PROXIMITY ANALYSIS BETWEEN TWO HORIZONTAL MULTI-TABLES: DSCIA2 METHOD 两张横向多表之间邻近性分析的新方法：DSCIA2 方法
Journal of Computer Science and Applied Mathematics Pub Date : 2024-05-06 DOI: 10.37418/jcsam.6.1.2
José-Salathiel Kossa-Kongbowali
{"title":"NEW APPROACH TO PROXIMITY ANALYSIS BETWEEN TWO HORIZONTAL MULTI-TABLES: DSCIA2 METHOD","authors":"José-Salathiel Kossa-Kongbowali","doi":"10.37418/jcsam.6.1.2","DOIUrl":"https://doi.org/10.37418/jcsam.6.1.2","url":null,"abstract":"In this paper, we propose a new method called Dual Simultaneous Co-Inertia Analysis Type 2 (DSCIA2), which is both a new approach to DSCIA in the context of two horizontal multi-tables and Dual of SCIA2 method. The aim is to study the variability of the proximity between pairs of tables with the same variables, by constructing the common axes of representation of the variables and the individuals simultaneously, i.e. constructing in one go an orthogonal matrix containing the solutions. An example of this method consisting being studied of the compared economic evolution of the countries of the Economic Monetary Community of Central Africa (EMCCA) and the West African Economic Monetary Union(WAEMU) is given.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":" 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF NEGATIVELY DEPENDENT RANDOM VARIABLES 负相关随机变量序列加权和的完全收敛性
Journal of Computer Science and Applied Mathematics Pub Date : 2024-01-10 DOI: 10.37418/jcsam.6.1.1
Y. Kolani, A. Gning, S. Diouf
{"title":"COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF NEGATIVELY DEPENDENT RANDOM VARIABLES","authors":"Y. Kolani, A. Gning, S. Diouf","doi":"10.37418/jcsam.6.1.1","DOIUrl":"https://doi.org/10.37418/jcsam.6.1.1","url":null,"abstract":"This paper is a theoretical contribution on the complete convergence of partial sums. Let $ lbrace X_n, n geq 1 rbrace$ be a sequence of non negatively dependent random, which is stochastically dominated by a random variable $X$ and $lbrace Psi_{ni} ; 1leq i leq n, ngeq 1rbrace $ be a an array of random variables. Under mild condition we establish the complete convergence for weighted sums $sum_{i=1}^j Psi_{ni}X_i $. This result obtained with random coefficients generalizes the work of those obtained with real coefficients [12-14,16]. Our results also generalize those on complete convergence theorem previously obtained from the independent and identically distributed case to negatively dependent.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"7 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
COMPARATIVE STUDY OF THE LAPLACE-ADOMIAN METHOD AND THE VARIATIONAL ITERATIONS METHOD FOR DETERMINING THE EXACT SOLUTIONS OF SOME PARTIAL DIFFERENTIAL EQUATIONS 确定某些偏微分方程精确解的拉普拉斯-阿多米方法和变分迭代法的比较研究
Journal of Computer Science and Applied Mathematics Pub Date : 2023-12-14 DOI: 10.37418/jcsam.5.2.8
Yanick Alain Servais Wellot
{"title":"COMPARATIVE STUDY OF THE LAPLACE-ADOMIAN METHOD AND THE VARIATIONAL ITERATIONS METHOD FOR DETERMINING THE EXACT SOLUTIONS OF SOME PARTIAL DIFFERENTIAL EQUATIONS","authors":"Yanick Alain Servais Wellot","doi":"10.37418/jcsam.5.2.8","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.8","url":null,"abstract":"This work is a verification of the effectiveness of Laplace-Adomian and variational iterations methods for solving partial differential equations. The coupling of Laplace and Adomian methods has made it possible to exploit Adomian polynomials with Laplace transforms, as well as their inverse, to overcome the difficulties associated with the non-linearity of the equations. The variational iteration method, with its correction functional, facilitates the determination of the general Lagrange multiplier, which is essential for the rest of the solution. These methods have enabled us to obtain the exact solutions.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"390 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138974194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
REACTION-DIFFUSION FISHER’S EQUATIONS VIA DECOMPOSITION METHOD 用分解法求解反应扩散费雪方程
Journal of Computer Science and Applied Mathematics Pub Date : 2023-10-30 DOI: 10.37418/jcsam.5.2.7
E.U. Agom, F.O. Ogunfiditimi, E.V. Bassey, C. Igiri
{"title":"REACTION-DIFFUSION FISHER’S EQUATIONS VIA DECOMPOSITION METHOD","authors":"E.U. Agom, F.O. Ogunfiditimi, E.V. Bassey, C. Igiri","doi":"10.37418/jcsam.5.2.7","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.7","url":null,"abstract":"The effect of the source, initial or boundary conditions in the use of Adomian decomposition method (ADM) on nonlinear partial differential equation or nonlinear equation in general is enormous. Sometimes the equation in question result to continuous exact solution in series form, other times it result to discrete approximate analytical solutions. In this paper, we show that continuous exact solitons can be obtained on application of ADM to the Fisher's equation with the deployment Taylor theorem to the terms(s) in question. And, the resulting series is split into the integral equations during the solution process. Resulting to multivariate Taylor's series of the exact solitons with the help of Adomian polynomials of the nonlinear reaction term correctly calculated. More physical results are further depicted in 2D, 3D and contour plots.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"47 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136019029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
STATISTICAL INFERENCE IN THE GENERALIZED EXTREME VALUE REGRESSION MODEL BASED ON SIMULATION STUDY 基于仿真研究的广义极值回归模型中的统计推断
Journal of Computer Science and Applied Mathematics Pub Date : 2023-10-19 DOI: 10.37418/jcsam.5.2.5
LO Fatimata, D.B. Ba, D. Aba
{"title":"STATISTICAL INFERENCE IN THE GENERALIZED EXTREME VALUE REGRESSION MODEL BASED ON SIMULATION STUDY","authors":"LO Fatimata, D.B. Ba, D. Aba","doi":"10.37418/jcsam.5.2.5","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.5","url":null,"abstract":"Generalized extreme value (GEV) regression model is widely used when the dependent variable $Y$ represents a rare event. In this case the logistic regression model shows relevant drawbacks. The quantile function of the GEV distribution is used as link function to investigate the relationship between the binary outcome $Y$ and a set of potential predictors $mathbf X$. Maximum likelihood estimators in this model has been proposed, and their asymptotic properties recently established. We conduct a detailed simulation study of its numerical properties. We evaluate its accuracy and the quality of the normal approximation of its asymptotic distribution. We study the quality of the approximation for constructing asymptotic Wald-type tests of hypothesis. Several others aspects of this model, such as the event probabilities still deserve attention. We also propose estimator of this quantity and we investigate its properties both theoretically and via simulations. Based on these results, we provide recommendations about the range of minimum sample size under which a reliable statistical inference on the event probabilities can be obtained in a GEV regression model. A real-data example illustrates the proposed estimators.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135666609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EULER MARUYAMA APPROXIMATIONS FOR A GENERAL CLASS OF STOCHASTIC FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS 一类随机分数阶积分微分方程的欧拉丸山近似
Journal of Computer Science and Applied Mathematics Pub Date : 2023-10-19 DOI: 10.37418/jcsam.5.2.6
F. Ibrahima, D. Moussa, D.B. Ba
{"title":"EULER MARUYAMA APPROXIMATIONS FOR A GENERAL CLASS OF STOCHASTIC FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS","authors":"F. Ibrahima, D. Moussa, D.B. Ba","doi":"10.37418/jcsam.5.2.6","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.6","url":null,"abstract":"In this paper, we study a class of stochastic fractional integro differential equations under the non-Lipschitz conditions. Thanks to Euler Maruy- ama's numerical scheme, we prove existence and uniqueness of a solution. We obtain also the strong convergence.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135666850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE BIVARIATE EXTENDED POISSON DISTRIBUTION OF TYPE 2 2型的二元扩展泊松分布
Journal of Computer Science and Applied Mathematics Pub Date : 2023-10-10 DOI: 10.37418/jcsam.5.2.4
C.G. Louzayadio, E. Nguessolta, M. Koukouatikissa Diafouka, R. Bidounga, D. Mizère
{"title":"THE BIVARIATE EXTENDED POISSON DISTRIBUTION OF TYPE 2","authors":"C.G. Louzayadio, E. Nguessolta, M. Koukouatikissa Diafouka, R. Bidounga, D. Mizère","doi":"10.37418/jcsam.5.2.4","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.4","url":null,"abstract":"In this paper we undertake the construction of a bivariate distribution generalising the univariate extended Poisson distribution by using the method of crossing laws, a method highlighted in [7]. We will call this law \"the bivariate extended Poisson distribution of type 2\", in reference to \"the bivariate extended Poisson law of type 1\" highlighted in [4]. We have shown that this law is a member of the family of bivariate Poisson distributions. Functional relations will be established between the two distributions.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136292764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOLVING PARTIAL DIFFERENTIAL EQUATIONS MODELLING SURFACE FLOWS BY THE REDUCED DIFFERENTIAL TRANSFORM METHOD 用简化微分变换法求解曲面流动的偏微分方程
Journal of Computer Science and Applied Mathematics Pub Date : 2023-10-06 DOI: 10.37418/jcsam.5.2.3
Yanick Alain Servais Wellot
{"title":"SOLVING PARTIAL DIFFERENTIAL EQUATIONS MODELLING SURFACE FLOWS BY THE REDUCED DIFFERENTIAL TRANSFORM METHOD","authors":"Yanick Alain Servais Wellot","doi":"10.37418/jcsam.5.2.3","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.3","url":null,"abstract":"The aim of this work is to find exact solutions of the non-linear partial differential equations describing the motion of Newtonian fluids at the surface. The reduced differential transform method is used to find the exact solutions of these equations. This method produces an algorithm that favours rapid convergence of the problem towards the exact solution sought.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135304074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
PERFORMANCE STUDY OF MULTIOBJECTIVE OPTIMIZER METHOD BASED ON GREY WOLF ATTACK TECHNICS 基于灰狼攻击技术的多目标优化方法性能研究
Journal of Computer Science and Applied Mathematics Pub Date : 2023-09-30 DOI: 10.37418/jcsam.5.2.2
W. Bamogo, K. Some, G.A. Degla
{"title":"PERFORMANCE STUDY OF MULTIOBJECTIVE OPTIMIZER METHOD BASED ON GREY WOLF ATTACK TECHNICS","authors":"W. Bamogo, K. Some, G.A. Degla","doi":"10.37418/jcsam.5.2.2","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.2","url":null,"abstract":"This paper proposes a performance study for the Multiobjective Optimizer based on the Grey Wolf Attack technics (MOGWAT). It is a method of solving multiobjective optimization problems. The method consists of the resolution of an unconstrained single objective optimization problem, which is derived from the aggregation of objective functions by the $epsilon$-constraint approach and the penalization of constraints by a Lagrangian function. Then, Pareto-optimal solutions are obtained using the stochastic method based on the Grey Wolf Optimizer. To evaluate the method, three theorems have been formulated to demonstrate the convergence of the proposed algorithm and the optimality of the obtained solutions. Six test problems from the literature have been successfully dealt with, and the obtained results have been compared to two other methods. We have evaluated two performance parameters, including the generational distance for the approximation error and the spread for the coverage of the Pareto front. Based on these numerical findings, it can be concluded that MOGWAT outperforms two other methods.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136336605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HYBRID METHOD BASED ON EXPONENTIAL PENALTY FUNCTION AND MOMA-PLUS METHOD FOR MULTIOBJECTIVE OPTIMIZATION 基于指数罚函数和moma-plus的多目标优化混合方法
Journal of Computer Science and Applied Mathematics Pub Date : 2023-06-09 DOI: 10.37418/jcsam.5.2.1
A. Som, K. Somé, A. Compaoré
{"title":"HYBRID METHOD BASED ON EXPONENTIAL PENALTY FUNCTION AND MOMA-PLUS METHOD FOR MULTIOBJECTIVE OPTIMIZATION","authors":"A. Som, K. Somé, A. Compaoré","doi":"10.37418/jcsam.5.2.1","DOIUrl":"https://doi.org/10.37418/jcsam.5.2.1","url":null,"abstract":"In this paper, we propose a modified version of the MOMA-plus method to solve multiobjective optimization problems. We use an exponential penalty function instead of the Lagrangian penalty function in the initial version of MOMA-Plus in order to improve the convergence and distribution to the Pareto optimal solutions. The theoretical and numerical results show that this new version improves the quality of the obtained solutions compared to the last version. Six test problems have been successfully resolved, allowing us to highlight the good convergence and good distribution of Pareto optimal solutions.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117066283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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