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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system 弱非线性双曲型系统渐近解的证明
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30572
Aleksandras Krylovas
{"title":"Substantiation of asymptotical solution of weakly nonlinear hyperbolic system","authors":"Aleksandras Krylovas","doi":"10.15388/lmr.2006.30572","DOIUrl":"https://doi.org/10.15388/lmr.2006.30572","url":null,"abstract":"A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along characteristics of the system. The asymptotical estimation of the approximation is made in the paper. Some aspects of practical realization of the method are discussed in the work too.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238676","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
Properties of the coefficient estimators for the linear regression model with heteroskedastic error term 具有异方差误差项的线性回归模型的系数估计量的性质
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30725
Alfredas Račkauskas, Danas Zuokas
{"title":"Properties of the coefficient estimators for the linear regression model with heteroskedastic error term","authors":"Alfredas Račkauskas, Danas Zuokas","doi":"10.15388/lmr.2006.30725","DOIUrl":"https://doi.org/10.15388/lmr.2006.30725","url":null,"abstract":"In this paper we present estimated generalized least squares (EGLS) estimator for the coefficient vector β in the linear regression model y = βX + ε, where disturbance term can be heteroskedastic. For the heteroskedasticity of the changed segment type, using Monte-Carlo method, we investigate empirical properties of the proposed and ordinary least squares (OLS) estimators. The results show that the empirical covariance of the EGLS estimators is smaller than that of OLS estimators.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238829","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
Įrodymų specializacija modalumo logikai S5 模式逻辑的证据专业化 S5
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30718
Aida Pliuškevičienė
{"title":"Įrodymų specializacija modalumo logikai S5","authors":"Aida Pliuškevičienė","doi":"10.15388/lmr.2006.30718","DOIUrl":"https://doi.org/10.15388/lmr.2006.30718","url":null,"abstract":"Loop-check-free decidable specialization of sequent calculus for modal logic S5 is presented. Soundness and completness of this calculus is proved.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136239007","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
Sistemos su vėlavimais ir struktūros matrica su tikrinėmis reikšmėmis vienetiniame apskritime analizinis tyrimas 带有延迟和结构矩阵的系统的分析研究，其测试值位于单位圆内
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30760
Gintarė Leonaitė, Jonas Rimas
{"title":"Sistemos su vėlavimais ir struktūros matrica su tikrinėmis reikšmėmis vienetiniame apskritime analizinis tyrimas","authors":"Gintarė Leonaitė, Jonas Rimas","doi":"10.15388/lmr.2006.30760","DOIUrl":"https://doi.org/10.15388/lmr.2006.30760","url":null,"abstract":"Investigation of the mutual synchronizatin system with delays, composed of n (n= 2p +1, p ∈ N) oscillators joined into a onedirectional ring, is carried out. The investigation is based on the use of eigenvectors of the matrix, which describes the structure of the internal links of the system.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136239139","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
Time series aggregation, disaggregation and long memory 时间序列聚合、分解和长记忆
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30723
Dmitrij Celov, Remigijus Leipus
{"title":"Time series aggregation, disaggregation and long memory","authors":"Dmitrij Celov, Remigijus Leipus","doi":"10.15388/lmr.2006.30723","DOIUrl":"https://doi.org/10.15388/lmr.2006.30723","url":null,"abstract":"Large-scale aggregation and its inverse, disaggregation, problems are important in many fields of studies like macroeconomics, astronomy, hydrology and sociology. It was shown in Granger (1980) that a certain aggregation of random coefficient AR(1) models can lead to long memory output. Dacunha-Castelle and Oppenheim (2001) explored the topic further, answering when and if a predefined long memory process could be obtained as the result of aggregation of a specific class of individual processes. In this paper, the disaggregation scheme of Leipus et al. (2006) is briefly discussed. Then disaggregation into AR(1) is analyzed further, resulting in a theorem that helps, under corresponding assumptions, to construct a mixture density for a given aggregated by AR(1) scheme process. Finally the theorem is illustrated by FARUMA mixture densityÆs example.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136239910","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
Finansinių aktyvų dinamikos skaitmeninis modelis 金融资产动态数值模型
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30730
Eimutis Valakevičius
{"title":"Finansinių aktyvų dinamikos skaitmeninis modelis","authors":"Eimutis Valakevičius","doi":"10.15388/lmr.2006.30730","DOIUrl":"https://doi.org/10.15388/lmr.2006.30730","url":null,"abstract":"In the article is proposed the algorithm how to model the dynamics of asset prices by Markov process with continuous time and countable set of states.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240094","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
MAUT method – one in a multiple criteria decision-making methods MAUT方法-一种多准则中的决策方法
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30777
Rūta Simanavičienė
{"title":"MAUT method – one in a multiple criteria decision-making methods","authors":"Rūta Simanavičienė","doi":"10.15388/lmr.2006.30777","DOIUrl":"https://doi.org/10.15388/lmr.2006.30777","url":null,"abstract":"Multiple criteria decision-making methods enable to choose the optimal decision, if his criterions is contradictorys. In herein paper is describe MAUT – multiattribute utility theory. This method is reasoned in theory. MAUT up for indeterminations situations, but can to use for determinations situations. In this method multiple criteria problem solvable with the help of unitary utility functions.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"159 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240098","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
Research of nonparametric density estimation algorithms by applying clustering methods 应用聚类方法研究非参数密度估计算法
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30726
Rasa Šmidtaitė, Tomas Ruzgas
{"title":"Research of nonparametric density estimation algorithms by applying clustering methods","authors":"Rasa Šmidtaitė, Tomas Ruzgas","doi":"10.15388/lmr.2006.30726","DOIUrl":"https://doi.org/10.15388/lmr.2006.30726","url":null,"abstract":"One of the ways to improve the accuracy of probability density estimation is multi-mode density treating as the mixture of single-mode one. In this paper we offer to use data clustering in the first place and to estimate density in every cluster separately. To objectively compare the performance, Monte Carlo approximation is used. While using various methods to evaluate the accuracy of probability density estimations we tried to use clustered and not clustered data. In this paper we also tried to reveal the usefulness of using clustering for data generated by single-mode and multi-mode distributions.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240099","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
VU studijų proceso finansų valdymo kompiuterinis modeliavimas VU 研究过程的财务管理计算机模型
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30755
Vytautas Jurkus, Feliksas Ivanauskas, Aleksas Pikturna
{"title":"VU studijų proceso finansų valdymo kompiuterinis modeliavimas","authors":"Vytautas Jurkus, Feliksas Ivanauskas, Aleksas Pikturna","doi":"10.15388/lmr.2006.30755","DOIUrl":"https://doi.org/10.15388/lmr.2006.30755","url":null,"abstract":"In this work a computer simulation of Vilnius University financial management is completed. The purpose of the simulation is to calculate optimal distribution of monetary reserves for each VU faculty. In addition, the conclusion is made, which budget is oriented to quality of studies and which has social aspect.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240100","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
Logic of knowledge with infinitely many agents 具有无限多主体的知识逻辑
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30719
Regimantas Pliuškevičius
{"title":"Logic of knowledge with infinitely many agents","authors":"Regimantas Pliuškevičius","doi":"10.15388/lmr.2006.30719","DOIUrl":"https://doi.org/10.15388/lmr.2006.30719","url":null,"abstract":"Cut-free sequent calculus for logic of knowledge with infinitely many agents, based on multimodul S5n.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240345","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
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