{"title":"Addressing Reserves and Pension Funds through Gambler’s Ruin and Generalized Brownian Motion Process","authors":"M. A. Ferreira, J. Filipe","doi":"10.9734/bpi/ramrcs/v4/14551d","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/14551d","url":null,"abstract":"We used the random walk to model the problem of reserves. The classic case of a stochastic process is the example of random walks, which are used to study a set of phenomena and, particularly, as in this article, to study models of reserves evolution. Random walks also allow the construction of significant complex systems and are used as an instrument of analysis, being used in this study for giving a theoretical characteristic to specific types of systems. Our goal is mainly to study reserves to see how to ensure that pension funds are sustainable. This paper, by covering a classic approach to the study of pension funds, makes possible to draw interesting conclusions about the problem of reserves. We also consider the Brownian motion to model the pensions fund assets and liability management politics. In this context, it was possible to obtain expressions for the expected value of the pensions fund perpetual maintenance cost present value, also for the expected value of the maintenance cost up to time t, indicators of a fund maintenance policy expenditures.","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125478626","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":"On the 4th Clay Millennium Problem for the Periodic Navier Stokes Equations","authors":"T. Moschandreou","doi":"10.9734/bpi/ramrcs/v4/14379d","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/14379d","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125237193","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":"Study on Generalized Exponential Type Estimators for Ratio of Two Population Means Using Auxiliary Attribute in the Presence of Non-response","authors":"Kamlesh G. Kumar, Sunitha Kumar, Anupam Kumar","doi":"10.9734/bpi/ramrcs/v4/4664f","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/4664f","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129110025","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":"Channel Capacity Enhancement on Maximization of Modified Verma and Bose-Einstein Entropies by Gaussian Distribution","authors":"R. Verma","doi":"10.9734/bpi/ramrcs/v4/12064d","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/12064d","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116803406","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":"Reliability Analysis of a Multi-State Delivery Network through the Symbolic Derivation of a Probability-Ready Expression","authors":"A. Rushdi, Motaz H. Amashah","doi":"10.9734/bpi/ramrcs/v4/2897e","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/2897e","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123133919","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":"Study on Dual Bi-Directional Heuristic Development Framework","authors":"Stanley Murairwa","doi":"10.9734/bpi/ramrcs/v4/14224d","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/14224d","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116840457","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":"Determining the Sufficiency in Optimal Control without the Strengthened Condition of Legendre","authors":"Gerardo Sánchez Licea","doi":"10.9734/bpi/ramrcs/v4/2119e","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/2119e","url":null,"abstract":"In this paper we derive a sufficiency theorem of an unconstrain ed fixed-endpoint problem of Lagrange which provides sufficient c for processes which do not satisfy the standard assumption of nonsingularity, that is, the new sufficiency theorem does not impose th e strengthened condition of Legendre. The proof of the sufficiency resul t is direct in nature since the former uses explicitly the positivity of the second variation, in contrast with possible generalizations of conjugate points, solutions of certain matrix Riccati equations, invariant integrals, or the Hamiltonian-Jacobi theory.","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128925962","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":"Derivation of Second Order Partial Differential Equation Indicating Wave and Heat Equation through the Use of the Navier Stokes Equation for Unsteady and Incompressible Flow: Scientific Explanation","authors":"N. Akhtar, G. A. H. Chowdhury","doi":"10.9734/bpi/ramrcs/v4/1937c","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/1937c","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126886633","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":"Model Calibration at Different Stages in Cluster Sampling; Use of Penalized Splines in Semiparametric Estimation","authors":"Pius Nderitu Kihara","doi":"10.9734/bpi/ramrcs/v4/14456d","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/14456d","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116864921","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":"A Counterexample of the Statement P = NP: Scientific Explanation","authors":"P. Kopanov","doi":"10.9734/bpi/ramrcs/v4/4968f","DOIUrl":"https://doi.org/10.9734/bpi/ramrcs/v4/4968f","url":null,"abstract":"","PeriodicalId":230940,"journal":{"name":"Recent Advances in Mathematical Research and Computer Science Vol. 4","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133760061","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}