On the exponential inequality for acceptable random variables
<p>Abstract</p> <p>In this paper, we obtain some new exponential inequalities for partial sums and their finite maximum of acceptable random variables by the results of Sung et al. (J. Korean Stat. Soc., 40, 109-114, 2011) and in different ways from theirs. The inequalities we obta...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/40 |
| _version_ | 1818525131747622912 |
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| author | Gao Qingwu Wang Yuebao Li Yawei |
| author_facet | Gao Qingwu Wang Yuebao Li Yawei |
| author_sort | Gao Qingwu |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, we obtain some new exponential inequalities for partial sums and their finite maximum of acceptable random variables by the results of Sung et al. (J. Korean Stat. Soc., 40, 109-114, 2011) and in different ways from theirs. The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal. In addition, we introduce some concepts and examples of widely acceptable random variables to extend our results mentioned above.</p> <p>Mathematics Subject Classification (2000)</p> <p>60F15, 62G20</p> |
| first_indexed | 2024-12-11T06:05:37Z |
| format | Article |
| id | doaj.art-d3e1b23ea5c24746bcf01bd29a8e4b35 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T06:05:37Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d3e1b23ea5c24746bcf01bd29a8e4b352022-12-22T01:18:18ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011140On the exponential inequality for acceptable random variablesGao QingwuWang YuebaoLi Yawei<p>Abstract</p> <p>In this paper, we obtain some new exponential inequalities for partial sums and their finite maximum of acceptable random variables by the results of Sung et al. (J. Korean Stat. Soc., 40, 109-114, 2011) and in different ways from theirs. The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal. In addition, we introduce some concepts and examples of widely acceptable random variables to extend our results mentioned above.</p> <p>Mathematics Subject Classification (2000)</p> <p>60F15, 62G20</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/40Acceptable random variablesExponential inequalityPetrov-exponentWidely acceptable random variables |
| spellingShingle | Gao Qingwu Wang Yuebao Li Yawei On the exponential inequality for acceptable random variables Journal of Inequalities and Applications Acceptable random variables Exponential inequality Petrov-exponent Widely acceptable random variables |
| title | On the exponential inequality for acceptable random variables |
| title_full | On the exponential inequality for acceptable random variables |
| title_fullStr | On the exponential inequality for acceptable random variables |
| title_full_unstemmed | On the exponential inequality for acceptable random variables |
| title_short | On the exponential inequality for acceptable random variables |
| title_sort | on the exponential inequality for acceptable random variables |
| topic | Acceptable random variables Exponential inequality Petrov-exponent Widely acceptable random variables |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/40 |
| work_keys_str_mv | AT gaoqingwu ontheexponentialinequalityforacceptablerandomvariables AT wangyuebao ontheexponentialinequalityforacceptablerandomvariables AT liyawei ontheexponentialinequalityforacceptablerandomvariables |