{"title":"宏观系统中指数分布与极值双曲分布的联合对称性","authors":"M. Delas","doi":"10.1109/MSNMC.2018.8576264","DOIUrl":null,"url":null,"abstract":"An extended entropy method has been developed that accounts for the finite properties of distributions and the stagewise character of relaxation processes. The kinetic properties of system agents (carriers and resources) determine the distribution type. If the time of relaxation of carriers is shorter, the exponential distribution is formed, whereas if the dynamic resources are more agile, an extreme heavy-tail hyperbolic distribution is formed. The exponential and extreme hyperbolic distributions have been found to possess combined symmetry, which is a different statistical interpretation of a single state.","PeriodicalId":404334,"journal":{"name":"2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Combined Symmetry of Exponential and Extreme Hyperbolic Distributions in Macrosystems\",\"authors\":\"M. Delas\",\"doi\":\"10.1109/MSNMC.2018.8576264\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An extended entropy method has been developed that accounts for the finite properties of distributions and the stagewise character of relaxation processes. The kinetic properties of system agents (carriers and resources) determine the distribution type. If the time of relaxation of carriers is shorter, the exponential distribution is formed, whereas if the dynamic resources are more agile, an extreme heavy-tail hyperbolic distribution is formed. The exponential and extreme hyperbolic distributions have been found to possess combined symmetry, which is a different statistical interpretation of a single state.\",\"PeriodicalId\":404334,\"journal\":{\"name\":\"2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MSNMC.2018.8576264\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MSNMC.2018.8576264","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Combined Symmetry of Exponential and Extreme Hyperbolic Distributions in Macrosystems
An extended entropy method has been developed that accounts for the finite properties of distributions and the stagewise character of relaxation processes. The kinetic properties of system agents (carriers and resources) determine the distribution type. If the time of relaxation of carriers is shorter, the exponential distribution is formed, whereas if the dynamic resources are more agile, an extreme heavy-tail hyperbolic distribution is formed. The exponential and extreme hyperbolic distributions have been found to possess combined symmetry, which is a different statistical interpretation of a single state.