A note on the exponential inequality for a class of dependent random variables
Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and...
Ausführliche Beschreibung
Autor*in: |
Sung, Soo Hak [verfasserIn] Srisuradetchai, Patchanok [verfasserIn] Volodin, Andrei [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2010 |
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Schlagwörter: |
Negatively associated random variables |
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Übergeordnetes Werk: |
Enthalten in: Journal of the Korean Statistical Society - Singapore : Springer Singapore, 2008, 40(2010), 1 vom: 16. Sept., Seite 109-114 |
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Übergeordnetes Werk: |
volume:40 ; year:2010 ; number:1 ; day:16 ; month:09 ; pages:109-114 |
Links: |
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DOI / URN: |
10.1016/j.jkss.2010.08.002 |
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Katalog-ID: |
SPR039315487 |
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245 | 1 | 2 | |a A note on the exponential inequality for a class of dependent random variables |
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520 | |a Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. | ||
650 | 4 | |a Exponential inequality |7 (dpeaa)DE-He213 | |
650 | 4 | |a Convergence rate |7 (dpeaa)DE-He213 | |
650 | 4 | |a Almost sure convergence |7 (dpeaa)DE-He213 | |
650 | 4 | |a Acceptable random variables |7 (dpeaa)DE-He213 | |
650 | 4 | |a Negatively associated random variables |7 (dpeaa)DE-He213 | |
650 | 4 | |a Negatively dependent random variables |7 (dpeaa)DE-He213 | |
650 | 4 | |a Laplace transform |7 (dpeaa)DE-He213 | |
700 | 1 | |a Srisuradetchai, Patchanok |e verfasserin |4 aut | |
700 | 1 | |a Volodin, Andrei |e verfasserin |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Journal of the Korean Statistical Society |d Singapore : Springer Singapore, 2008 |g 40(2010), 1 vom: 16. Sept., Seite 109-114 |w (DE-627)560179367 |w (DE-600)2416078-7 |x 2005-2863 |7 nnns |
773 | 1 | 8 | |g volume:40 |g year:2010 |g number:1 |g day:16 |g month:09 |g pages:109-114 |
856 | 4 | 0 | |u https://dx.doi.org/10.1016/j.jkss.2010.08.002 |z lizenzpflichtig |3 Volltext |
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10.1016/j.jkss.2010.08.002 doi (DE-627)SPR039315487 (SPR)j.jkss.2010.08.002-e DE-627 ger DE-627 rakwb eng 310 ASE Sung, Soo Hak verfasserin aut A note on the exponential inequality for a class of dependent random variables 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. Exponential inequality (dpeaa)DE-He213 Convergence rate (dpeaa)DE-He213 Almost sure convergence (dpeaa)DE-He213 Acceptable random variables (dpeaa)DE-He213 Negatively associated random variables (dpeaa)DE-He213 Negatively dependent random variables (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Srisuradetchai, Patchanok verfasserin aut Volodin, Andrei verfasserin aut Enthalten in Journal of the Korean Statistical Society Singapore : Springer Singapore, 2008 40(2010), 1 vom: 16. Sept., Seite 109-114 (DE-627)560179367 (DE-600)2416078-7 2005-2863 nnns volume:40 year:2010 number:1 day:16 month:09 pages:109-114 https://dx.doi.org/10.1016/j.jkss.2010.08.002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 40 2010 1 16 09 109-114 |
spelling |
10.1016/j.jkss.2010.08.002 doi (DE-627)SPR039315487 (SPR)j.jkss.2010.08.002-e DE-627 ger DE-627 rakwb eng 310 ASE Sung, Soo Hak verfasserin aut A note on the exponential inequality for a class of dependent random variables 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. Exponential inequality (dpeaa)DE-He213 Convergence rate (dpeaa)DE-He213 Almost sure convergence (dpeaa)DE-He213 Acceptable random variables (dpeaa)DE-He213 Negatively associated random variables (dpeaa)DE-He213 Negatively dependent random variables (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Srisuradetchai, Patchanok verfasserin aut Volodin, Andrei verfasserin aut Enthalten in Journal of the Korean Statistical Society Singapore : Springer Singapore, 2008 40(2010), 1 vom: 16. Sept., Seite 109-114 (DE-627)560179367 (DE-600)2416078-7 2005-2863 nnns volume:40 year:2010 number:1 day:16 month:09 pages:109-114 https://dx.doi.org/10.1016/j.jkss.2010.08.002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 40 2010 1 16 09 109-114 |
allfields_unstemmed |
10.1016/j.jkss.2010.08.002 doi (DE-627)SPR039315487 (SPR)j.jkss.2010.08.002-e DE-627 ger DE-627 rakwb eng 310 ASE Sung, Soo Hak verfasserin aut A note on the exponential inequality for a class of dependent random variables 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. Exponential inequality (dpeaa)DE-He213 Convergence rate (dpeaa)DE-He213 Almost sure convergence (dpeaa)DE-He213 Acceptable random variables (dpeaa)DE-He213 Negatively associated random variables (dpeaa)DE-He213 Negatively dependent random variables (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Srisuradetchai, Patchanok verfasserin aut Volodin, Andrei verfasserin aut Enthalten in Journal of the Korean Statistical Society Singapore : Springer Singapore, 2008 40(2010), 1 vom: 16. Sept., Seite 109-114 (DE-627)560179367 (DE-600)2416078-7 2005-2863 nnns volume:40 year:2010 number:1 day:16 month:09 pages:109-114 https://dx.doi.org/10.1016/j.jkss.2010.08.002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 40 2010 1 16 09 109-114 |
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10.1016/j.jkss.2010.08.002 doi (DE-627)SPR039315487 (SPR)j.jkss.2010.08.002-e DE-627 ger DE-627 rakwb eng 310 ASE Sung, Soo Hak verfasserin aut A note on the exponential inequality for a class of dependent random variables 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. Exponential inequality (dpeaa)DE-He213 Convergence rate (dpeaa)DE-He213 Almost sure convergence (dpeaa)DE-He213 Acceptable random variables (dpeaa)DE-He213 Negatively associated random variables (dpeaa)DE-He213 Negatively dependent random variables (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Srisuradetchai, Patchanok verfasserin aut Volodin, Andrei verfasserin aut Enthalten in Journal of the Korean Statistical Society Singapore : Springer Singapore, 2008 40(2010), 1 vom: 16. Sept., Seite 109-114 (DE-627)560179367 (DE-600)2416078-7 2005-2863 nnns volume:40 year:2010 number:1 day:16 month:09 pages:109-114 https://dx.doi.org/10.1016/j.jkss.2010.08.002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 40 2010 1 16 09 109-114 |
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10.1016/j.jkss.2010.08.002 doi (DE-627)SPR039315487 (SPR)j.jkss.2010.08.002-e DE-627 ger DE-627 rakwb eng 310 ASE Sung, Soo Hak verfasserin aut A note on the exponential inequality for a class of dependent random variables 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. Exponential inequality (dpeaa)DE-He213 Convergence rate (dpeaa)DE-He213 Almost sure convergence (dpeaa)DE-He213 Acceptable random variables (dpeaa)DE-He213 Negatively associated random variables (dpeaa)DE-He213 Negatively dependent random variables (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Srisuradetchai, Patchanok verfasserin aut Volodin, Andrei verfasserin aut Enthalten in Journal of the Korean Statistical Society Singapore : Springer Singapore, 2008 40(2010), 1 vom: 16. Sept., Seite 109-114 (DE-627)560179367 (DE-600)2416078-7 2005-2863 nnns volume:40 year:2010 number:1 day:16 month:09 pages:109-114 https://dx.doi.org/10.1016/j.jkss.2010.08.002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 40 2010 1 16 09 109-114 |
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Enthalten in Journal of the Korean Statistical Society 40(2010), 1 vom: 16. Sept., Seite 109-114 volume:40 year:2010 number:1 day:16 month:09 pages:109-114 |
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Enthalten in Journal of the Korean Statistical Society 40(2010), 1 vom: 16. Sept., Seite 109-114 volume:40 year:2010 number:1 day:16 month:09 pages:109-114 |
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Journal of the Korean Statistical Society |
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Sung, Soo Hak @@aut@@ Srisuradetchai, Patchanok @@aut@@ Volodin, Andrei @@aut@@ |
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2010-09-16T00:00:00Z |
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310 ASE A note on the exponential inequality for a class of dependent random variables Exponential inequality (dpeaa)DE-He213 Convergence rate (dpeaa)DE-He213 Almost sure convergence (dpeaa)DE-He213 Acceptable random variables (dpeaa)DE-He213 Negatively associated random variables (dpeaa)DE-He213 Negatively dependent random variables (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 |
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ddc 310 misc Exponential inequality misc Convergence rate misc Almost sure convergence misc Acceptable random variables misc Negatively associated random variables misc Negatively dependent random variables misc Laplace transform |
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A note on the exponential inequality for a class of dependent random variables |
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note on the exponential inequality for a class of dependent random variables |
title_auth |
A note on the exponential inequality for a class of dependent random variables |
abstract |
Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. |
abstractGer |
Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. |
abstract_unstemmed |
Abstract An exponential inequality is established for a random variable with the finite Laplace transform. Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). Our method is much simpler than those in the literature. |
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A note on the exponential inequality for a class of dependent random variables |
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Using this inequality, we obtain an exponential inequality for identically distributed acceptable random variables (a class of random variables introduced in Giuliano Antonini, Kozachenko, and Volodin (2008) which includes negatively dependent random variables). Our result improves the corresponding ones in Kim and Kim (2007), Nooghabi and Azarnoosh (2009), Sung (2009), Xing (2009), Xing and Yang (2010) and Xing, Yang, Liu, and Wang (2009). 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