{"title":"Bases of software for computer simulation and multivariante prediction of economic even at uncertainty conditions on the base of n-component piecewise-linear economic-mathematical models in m-dimensional vector space","authors":"A. Aliyev","doi":"10.15640/arms.v7n1a3","DOIUrl":"https://doi.org/10.15640/arms.v7n1a3","url":null,"abstract":"For the last 15 years in periodic literature there has appeared a series of scientific publications that has laid the foundation of a new scientific direction on creation of piecewise-linear economic-mathematical models at uncertainty conditions in finite dimensional vector space. Representation of economic processes in finitedimensional vector space, in particular in Euclidean space, at uncertainty conditions in the form of mathematical models in connected with complexity of complete account of such important issues as: spatial in homogeneity of occurring economic processes, incomplete macro, micro and social-political information; time changeability of multifactor economic indices, their duration and their change rate. The above-listed one in mathematical plan reduces the solution of the given problem to creation of very complicated economicmathematical models of nonlinear type. In this connection, it was established in these works that all possible economic processes considered with regard to uncertainty factor in finite-dimensional vector space should be explicitly determined in spatial-time aspect. Owing only to the stated principle of spatial-time certainty of economic process at uncertainty conditions in finite dimensional vector space it is possible to reveal systematically the dynamics and structure of the occurring process. In addition, imposing a series of softened additional conditions on the occurring economic process, it is possible to classify it in finite-dimensional vector space and also to suggest a new science-based method of multivariant prediction of economic process and its control in finite-dimensional vector space at uncertainty conditions, in particular, with regard to unaccounted factors influence.","PeriodicalId":266094,"journal":{"name":"American Review of Mathematics and Statistics","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134579231","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}
{"title":"An F-Type Multiple Testing Approach for Assessing Randomness of Linear Mixed Models","authors":"Marco Barnabani","doi":"10.15640/ARMS.V7N2A1","DOIUrl":"https://doi.org/10.15640/ARMS.V7N2A1","url":null,"abstract":"In linear mixed models the assessing of the significance of all or a subset of the random effects is often of primary interest. Many techniques have been proposed for this purpose but none of them is completely satisfactory. One of the oldest methods for testing randomness is the F -test but it is often overlooked in modern applications due to poor statistical power and non-applicability in some important situations. In this work a two-step procedure is developed for generalizing an F -test and improving its statistical power. In the first step, by comparing two covariance matrices of a least squares statistics, we obtain a \"repeatable\" F -type test. In the second step, by changing the projected matrix which defines the least squares statistic we apply the test repeteadly to the same data in order to have a set of correlated statistics analyzed within a multiple testing approach. The resulting test is sufficiently general, easy to compute, with an exact distribution under the null and alternative hypothesis and, perhaps more importantly, with a strong increase of statistical power with respect to the F -test.","PeriodicalId":266094,"journal":{"name":"American Review of Mathematics and Statistics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122542143","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}
{"title":"Measuring the Perception Strength/Beliefs of Educators’ of School –Based Strategies Using the Daniel C. Fritz Perception Model to see which is most effective in Improving Student Achievement","authors":"Daniel C. Fritz","doi":"10.15640/arms.v9n1a3","DOIUrl":"https://doi.org/10.15640/arms.v9n1a3","url":null,"abstract":"","PeriodicalId":266094,"journal":{"name":"American Review of Mathematics and Statistics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128758600","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}
Sergio Sedano Jimnez, Javier Ferrero Berlanga, Gabriel Dorantes Argandar
{"title":"Rule-following in Traffic: A Case Study for Cuernavaca, Morelos (Mexico)","authors":"Sergio Sedano Jimnez, Javier Ferrero Berlanga, Gabriel Dorantes Argandar","doi":"10.15640/arms.v7n2a3","DOIUrl":"https://doi.org/10.15640/arms.v7n2a3","url":null,"abstract":"Rule-following us a variable that has been related to other factors relevant to the study of driver aggression. This study aims to create and validate an inventory that is able to evaluate said variable in the city of Cuernavaca, Morelos (Mexico). Using a two-phase methodology, this study produces a 10-item Likert scale that satisfies optimal levels of adjustment, which implies that it is valid for use in said city. These two phases satisfy requirements for content validation and construct validation. The Rule-Following Inventory will be of use for research in Traffic Psychology, allowing future research to be carried out.","PeriodicalId":266094,"journal":{"name":"American Review of Mathematics and Statistics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132301075","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}
{"title":"Fredholm Properties for Pencils","authors":"N. Altaweel","doi":"10.15640/arms.v9n1a1","DOIUrl":"https://doi.org/10.15640/arms.v9n1a1","url":null,"abstract":"","PeriodicalId":266094,"journal":{"name":"American Review of Mathematics and Statistics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132793982","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}
{"title":"An Improved Confidence Interval","authors":"Rishi Raj Subedi","doi":"10.15640/arms.v7n1a2","DOIUrl":"https://doi.org/10.15640/arms.v7n1a2","url":null,"abstract":"For Interval estimation of a proportion the Wald procedure is almost universally used. This is because of its simplicity. A new method of interval estimation is being suggested here. Actually, this new method is really a modification of the Wald procedure. However, this new method has a chance of being used because it is simple and easy to use.","PeriodicalId":266094,"journal":{"name":"American Review of Mathematics and Statistics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123292369","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}