{"title":"On Optimal Stochastic Linear Quadratic Control with Inversely Proportional Time-Weighting in the Cost","authors":"E. S. Palamarchuk","doi":"10.1137/s0040585x97t990733","DOIUrl":"https://doi.org/10.1137/s0040585x97t990733","url":null,"abstract":"","PeriodicalId":141584,"journal":{"name":"Theory of Probability & Its Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124170297","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 Analogue of the Feynman--Kac Formula for a High-Order Operator","authors":"M. Platonova","doi":"10.1137/s0040585x97t990757","DOIUrl":"https://doi.org/10.1137/s0040585x97t990757","url":null,"abstract":"","PeriodicalId":141584,"journal":{"name":"Theory of Probability & Its Applications","volume":"239 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132494563","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 Accompanying Measures and Asymptotic Expansions in the B. V. Gnedenko Limit Theorem","authors":"V. Piterbarg, Yu. A. Scherbakova","doi":"10.1137/s0040585x97t990745","DOIUrl":"https://doi.org/10.1137/s0040585x97t990745","url":null,"abstract":"","PeriodicalId":141584,"journal":{"name":"Theory of Probability & Its Applications","volume":"339 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113958483","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":"Limiting Spectral Distribution for Large Sample Covariance Matrices with Graph-Dependent Elements","authors":"P. Yaskov","doi":"10.1137/s0040585x97t991003","DOIUrl":"https://doi.org/10.1137/s0040585x97t991003","url":null,"abstract":"We obtain the limiting spectral distribution for large sample covariance matrices associated with random vectors having graph-dependent entries under the assumption that the interdependence among the entries grows with the sample size n. Our results are tight. In particular, they give necessary and sufficient conditions for the Marchenko-Pastur theorem for sample covariance matrices with m-dependent orthonormal elements when m = o(n).","PeriodicalId":141584,"journal":{"name":"Theory of Probability & Its Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133514958","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 Alternative Approximating Distributions in the Multivariate Version of Kolmogorov's Second Uniform Limit Theorem","authors":"F. Gotze, A. Zaitsev","doi":"10.4213/tvp5416; 10.1137/S0040585X97T99071X","DOIUrl":"https://doi.org/10.4213/tvp5416; 10.1137/S0040585X97T99071X","url":null,"abstract":"The aim of the present work is to show that recent results of the authors on the approximation of distributions of sums of independent summands by the infinitely divisible laws on convex polyhedra can be shown via an alternative class of approximating infinitely divisible distributions.","PeriodicalId":141584,"journal":{"name":"Theory of Probability & Its Applications","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133597554","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}