{"title":"序统计量线性组合的一些极限行为","authors":"Yu Miao, Mengyao Ma","doi":"10.14736/kyb-2021-6-0970","DOIUrl":null,"url":null,"abstract":"In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the k -th order statistics from uniform distribution, Gini mean difference statistics and the k -th order statistics from general continuous distribution are obtained.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"108 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some limit behavior for linear combinations of order statistics\",\"authors\":\"Yu Miao, Mengyao Ma\",\"doi\":\"10.14736/kyb-2021-6-0970\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the k -th order statistics from uniform distribution, Gini mean difference statistics and the k -th order statistics from general continuous distribution are obtained.\",\"PeriodicalId\":49928,\"journal\":{\"name\":\"Kybernetika\",\"volume\":\"108 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kybernetika\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.14736/kyb-2021-6-0970\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, CYBERNETICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kybernetika","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.14736/kyb-2021-6-0970","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, CYBERNETICS","Score":null,"Total":0}
Some limit behavior for linear combinations of order statistics
In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the k -th order statistics from uniform distribution, Gini mean difference statistics and the k -th order statistics from general continuous distribution are obtained.
期刊介绍：
Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences.
Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.
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