On the exponential inequality for acceptable random variables

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 correspondi...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wang, Yuebao [verfasserIn] Li, Yawei [verfasserIn] Gao, Qingwu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Acceptable random variables Exponential inequality Petrov-exponent Widely acceptable random variables

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2011(2011), 1 vom: 25. Aug.
Übergeordnetes Werk:	volume:2011 ; year:2011 ; number:1 ; day:25 ; month:08

Links:	Volltext

DOI / URN:	10.1186/1029-242X-2011-40

Katalog-ID:	SPR032334540

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allfields	10.1186/1029-242X-2011-40 doi (DE-627)SPR032334540 (SPR)1029-242X-2011-40-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Wang, Yuebao verfasserin aut On the exponential inequality for acceptable random variables 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Mathematics Subject Classification (2000) 60F15, 62G20 Acceptable random variables (dpeaa)DE-He213 Exponential inequality (dpeaa)DE-He213 Petrov-exponent (dpeaa)DE-He213 Widely acceptable random variables (dpeaa)DE-He213 Li, Yawei verfasserin aut Gao, Qingwu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 25. Aug. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:25 month:08 https://dx.doi.org/10.1186/1029-242X-2011-40 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2011 2011 1 25 08
spelling	10.1186/1029-242X-2011-40 doi (DE-627)SPR032334540 (SPR)1029-242X-2011-40-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Wang, Yuebao verfasserin aut On the exponential inequality for acceptable random variables 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Mathematics Subject Classification (2000) 60F15, 62G20 Acceptable random variables (dpeaa)DE-He213 Exponential inequality (dpeaa)DE-He213 Petrov-exponent (dpeaa)DE-He213 Widely acceptable random variables (dpeaa)DE-He213 Li, Yawei verfasserin aut Gao, Qingwu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 25. Aug. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:25 month:08 https://dx.doi.org/10.1186/1029-242X-2011-40 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2011 2011 1 25 08
allfields_unstemmed	10.1186/1029-242X-2011-40 doi (DE-627)SPR032334540 (SPR)1029-242X-2011-40-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Wang, Yuebao verfasserin aut On the exponential inequality for acceptable random variables 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Mathematics Subject Classification (2000) 60F15, 62G20 Acceptable random variables (dpeaa)DE-He213 Exponential inequality (dpeaa)DE-He213 Petrov-exponent (dpeaa)DE-He213 Widely acceptable random variables (dpeaa)DE-He213 Li, Yawei verfasserin aut Gao, Qingwu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 25. Aug. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:25 month:08 https://dx.doi.org/10.1186/1029-242X-2011-40 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2011 2011 1 25 08
allfieldsGer	10.1186/1029-242X-2011-40 doi (DE-627)SPR032334540 (SPR)1029-242X-2011-40-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Wang, Yuebao verfasserin aut On the exponential inequality for acceptable random variables 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Mathematics Subject Classification (2000) 60F15, 62G20 Acceptable random variables (dpeaa)DE-He213 Exponential inequality (dpeaa)DE-He213 Petrov-exponent (dpeaa)DE-He213 Widely acceptable random variables (dpeaa)DE-He213 Li, Yawei verfasserin aut Gao, Qingwu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 25. Aug. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:25 month:08 https://dx.doi.org/10.1186/1029-242X-2011-40 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2011 2011 1 25 08
allfieldsSound	10.1186/1029-242X-2011-40 doi (DE-627)SPR032334540 (SPR)1029-242X-2011-40-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Wang, Yuebao verfasserin aut On the exponential inequality for acceptable random variables 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Mathematics Subject Classification (2000) 60F15, 62G20 Acceptable random variables (dpeaa)DE-He213 Exponential inequality (dpeaa)DE-He213 Petrov-exponent (dpeaa)DE-He213 Widely acceptable random variables (dpeaa)DE-He213 Li, Yawei verfasserin aut Gao, Qingwu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 25. Aug. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:25 month:08 https://dx.doi.org/10.1186/1029-242X-2011-40 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2011 2011 1 25 08
language	English
source	Enthalten in Journal of inequalities and applications 2011(2011), 1 vom: 25. Aug. volume:2011 year:2011 number:1 day:25 month:08
sourceStr	Enthalten in Journal of inequalities and applications 2011(2011), 1 vom: 25. Aug. volume:2011 year:2011 number:1 day:25 month:08
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Acceptable random variables Exponential inequality Petrov-exponent Widely acceptable random variables
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container_title	Journal of inequalities and applications
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author	Wang, Yuebao
spellingShingle	Wang, Yuebao ddc 510 bkl 31.49 misc Acceptable random variables misc Exponential inequality misc Petrov-exponent misc Widely acceptable random variables On the exponential inequality for acceptable random variables
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topic_title	510 ASE 31.49 bkl On the exponential inequality for acceptable random variables Acceptable random variables (dpeaa)DE-He213 Exponential inequality (dpeaa)DE-He213 Petrov-exponent (dpeaa)DE-He213 Widely acceptable random variables (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Acceptable random variables misc Exponential inequality misc Petrov-exponent misc Widely acceptable random variables
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title	On the exponential inequality for acceptable random variables
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title_full	On the exponential inequality for acceptable random variables
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title_sort	on the exponential inequality for acceptable random variables
title_auth	On the exponential inequality for acceptable random variables
abstract	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. Mathematics Subject Classification (2000) 60F15, 62G20
abstractGer	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. Mathematics Subject Classification (2000) 60F15, 62G20
abstract_unstemmed	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. Mathematics Subject Classification (2000) 60F15, 62G20
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title_short	On the exponential inequality for acceptable random variables
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score	7.3985815

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On the exponential inequality for acceptable random variables

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