{"title":"变形随机基上的一些过程和模型","authors":"I. Pavlov","doi":"10.1109/SMRLO.2016.75","DOIUrl":null,"url":null,"abstract":"This is a survey of results of the Rostov-on-Don team on the deformed martingales of the 1st and the 2nd kind, Haar interpolations of martingales and their applications. First of all we give discrete-parameter versions of representation theorems and of optional sampling theorems for deformed martingales. Then we discribe Haar interpolation techniques for statical processes. And in the end we explane how complete deformed systems can be investigated with the help of Haar interpolations.","PeriodicalId":254910,"journal":{"name":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","volume":"147 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some Processes and Models on Deformed Stochastic Bases\",\"authors\":\"I. Pavlov\",\"doi\":\"10.1109/SMRLO.2016.75\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is a survey of results of the Rostov-on-Don team on the deformed martingales of the 1st and the 2nd kind, Haar interpolations of martingales and their applications. First of all we give discrete-parameter versions of representation theorems and of optional sampling theorems for deformed martingales. Then we discribe Haar interpolation techniques for statical processes. And in the end we explane how complete deformed systems can be investigated with the help of Haar interpolations.\",\"PeriodicalId\":254910,\"journal\":{\"name\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"volume\":\"147 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SMRLO.2016.75\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMRLO.2016.75","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Processes and Models on Deformed Stochastic Bases
This is a survey of results of the Rostov-on-Don team on the deformed martingales of the 1st and the 2nd kind, Haar interpolations of martingales and their applications. First of all we give discrete-parameter versions of representation theorems and of optional sampling theorems for deformed martingales. Then we discribe Haar interpolation techniques for statical processes. And in the end we explane how complete deformed systems can be investigated with the help of Haar interpolations.
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