Maximal <it>ϕ</it>-inequalities for demimartingales
<p>Abstract</p> <p>In this paper, we establish some maximal <it>ϕ</it>-inequalities for demimartingales that generalize the results of Wang (Stat. Probab. Lett. 66, 347-354, 2004) and Wang et al. (J. Inequal. Appl. 2010(838301), 11, 2010) and improve Doob'...
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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 |
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Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/59 |
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author | Gong Xiaobing |
author_facet | Gong Xiaobing |
author_sort | Gong Xiaobing |
collection | DOAJ |
description | <p>Abstract</p> <p>In this paper, we establish some maximal <it>ϕ</it>-inequalities for demimartingales that generalize the results of Wang (Stat. Probab. Lett. 66, 347-354, 2004) and Wang et al. (J. Inequal. Appl. 2010(838301), 11, 2010) and improve Doob's type inequality for demimartingales in some cases.</p> <p> <b>Mathematics Subject Classification (2010): </b>60E15; 60G48</p> |
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institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-12-11T21:55:14Z |
publishDate | 2011-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-ce2bc0ddc3e04601963382026028e78c2022-12-22T00:49:20ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011159Maximal <it>ϕ</it>-inequalities for demimartingalesGong Xiaobing<p>Abstract</p> <p>In this paper, we establish some maximal <it>ϕ</it>-inequalities for demimartingales that generalize the results of Wang (Stat. Probab. Lett. 66, 347-354, 2004) and Wang et al. (J. Inequal. Appl. 2010(838301), 11, 2010) and improve Doob's type inequality for demimartingales in some cases.</p> <p> <b>Mathematics Subject Classification (2010): </b>60E15; 60G48</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/59demimartingalemaximal <it>ϕ</it>-inequalitiesDoob's inequality |
spellingShingle | Gong Xiaobing Maximal <it>ϕ</it>-inequalities for demimartingales Journal of Inequalities and Applications demimartingale maximal <it>ϕ</it>-inequalities Doob's inequality |
title | Maximal <it>ϕ</it>-inequalities for demimartingales |
title_full | Maximal <it>ϕ</it>-inequalities for demimartingales |
title_fullStr | Maximal <it>ϕ</it>-inequalities for demimartingales |
title_full_unstemmed | Maximal <it>ϕ</it>-inequalities for demimartingales |
title_short | Maximal <it>ϕ</it>-inequalities for demimartingales |
title_sort | maximal it 981 it inequalities for demimartingales |
topic | demimartingale maximal <it>ϕ</it>-inequalities Doob's inequality |
url | http://www.journalofinequalitiesandapplications.com/content/2011/1/59 |
work_keys_str_mv | AT gongxiaobing maximalit981itinequalitiesfordemimartingales |