On an exponential inequality and a strong law of large numbers for monotone measures
Kybernetika (2014)
- Volume: 50, Issue: 5, page 804-813
- ISSN: 0023-5954
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topAgahi, Hamzeh, and Mesiar, Radko. "On an exponential inequality and a strong law of large numbers for monotone measures." Kybernetika 50.5 (2014): 804-813. <http://eudml.org/doc/262174>.
@article{Agahi2014,
abstract = {An exponential inequality for Choquet expectation is discussed. We also obtain a strong law of large numbers based on Choquet expectation. The main results of this paper improve some previous results obtained by many researchers.},
author = {Agahi, Hamzeh, Mesiar, Radko},
journal = {Kybernetika},
keywords = {Choquet expectation; monotone probability; exponential inequality; a strong law of large numbers; Choquet expectation; monotone probability; exponential inequality; a strong law of large numbers},
language = {eng},
number = {5},
pages = {804-813},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On an exponential inequality and a strong law of large numbers for monotone measures},
url = {http://eudml.org/doc/262174},
volume = {50},
year = {2014},
}
TY - JOUR
AU - Agahi, Hamzeh
AU - Mesiar, Radko
TI - On an exponential inequality and a strong law of large numbers for monotone measures
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 5
SP - 804
EP - 813
AB - An exponential inequality for Choquet expectation is discussed. We also obtain a strong law of large numbers based on Choquet expectation. The main results of this paper improve some previous results obtained by many researchers.
LA - eng
KW - Choquet expectation; monotone probability; exponential inequality; a strong law of large numbers; Choquet expectation; monotone probability; exponential inequality; a strong law of large numbers
UR - http://eudml.org/doc/262174
ER -
References
top- Choquet, G., 10.5802/aif.53, Ann. Inst. Fourier 5 (1954), 131-295. Zbl0679.01011MR0080760DOI10.5802/aif.53
- Denneberg, D., Non-additive Measure and Integral., Kluwer Academic Publishers, Dordrecht 1994. Zbl0968.28009MR1320048
- Dvoretzky, A., 10.1214/aoms/1177730039, Ann. Math. Statist. 20 (1949), 2, 296-299. Zbl0033.38402MR0031675DOI10.1214/aoms/1177730039
- Kim, T. S., Kim, H. C., 10.4134/CKMS.2007.22.2.315, Korean Math. Soc. Commun. 22 (2007), 2, 315-321. MR2313454DOI10.4134/CKMS.2007.22.2.315
- Lehmann, E., 10.1214/aoms/1177699260, Ann. Math. Statist. 37 (1966), 1137-1153. Zbl0146.40601MR0202228DOI10.1214/aoms/1177699260
- Li, J., Yasuda, M., Jiang, Q., Suzuki, H., Wang, Z., Klir, G. J., Convergence of sequence of measurable functions on fuzzy measure spaces., Fuzzy Sets and Systems 87 (1997), 317-323. Zbl0915.28014MR1449484
- Mesiar, R., Li, J., Pap, E., The Choquet integral as Lebesgue integral and related inequalities., Kybernetika 46 (2010), 1098-1107. Zbl1210.28025MR2797430
- Nooghabi, H. J., Azarnoosh, H. A., 10.1007/s00362-007-0081-4, Statist. Papers 50 (2009), 419-428. Zbl1247.60039MR2476199DOI10.1007/s00362-007-0081-4
- Oliveira, P. D., 10.1016/j.spl.2004.11.023, Statist. Probab. Lett. 73 (2005), 189-197. Zbl1070.60019MR2159254DOI10.1016/j.spl.2004.11.023
- Pap, E., Null-additive Set Functions., Kluwer, Dordrecht 1995. Zbl1265.28002MR1368630
- Petrov, V. V., Sums of Independent Random Variables., Springer-Verlag, Berlin 1975. Zbl1125.60024MR0388499
- Varošanec, S., 10.1016/j.jmaa.2006.02.086, J. Math. Anal. Appl. 326 (2007), 303-311. Zbl1111.26015MR2277784DOI10.1016/j.jmaa.2006.02.086
- Wang, X., Hu, S., Shen., A., Yang, W., 10.1016/j.aml.2010.09.007, Appl. Math. Lett. 24 (2011), 219-223. MR2735145DOI10.1016/j.aml.2010.09.007
- Wang, Z., Klir, G. J., Generalized Measure Theory., Springer, New York 2009. Zbl1184.28002MR2453907
- Xing, G., Yang, S., 10.1080/03610920902750053, Commun. Statistics-Theory and Methods 39 (2010), 340-349. Zbl1187.60022MR2654882DOI10.1080/03610920902750053
- Xing, G. D., Yang, S. C., Liu, A. L., Wang, X. P., 10.1016/j.jkss.2008.06.005, J. Korean Statist. Soc. 38 (2009), 53-57. Zbl1293.60042MR2492379DOI10.1016/j.jkss.2008.06.005
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