Some finite sample properties of negatively dependent random variables

Theory of Probability and Mathematical Statistics

Volumn 77, Issue , 2008, Pages 155-163

  Farcomeni, Lessio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Association; Bounded di erence inequality; Empirical distribution; Exponential tail inequality; Hoe ding inequality; Negative dependence; Symmetrization lemma

Indexed keywords

EID: 85009789312     PISSN: 00949000     EISSN: 15477363     Source Type: Journal    
DOI: 10.1090/S0094-9000-09-00754-6     Document Type: Article

References (7)

1. M. D. Amini and A. Bozorgnia, Complete convergence for negatively dependent random sequences, Journal of Applied Mathematics and Stochastic Analysis 16 (2003), 121–126. MR1989578 (2004j:60037)
2. H. W. Block, T. H. Savits, and M. Shaked, Some concepts of negative dependence, The Annals of Probability 10 (1982), 765–772. MR659545 (83i:60015)
3. J. D. Esary, F. Proschan, and D. W. Walkup, Association of random variables, with applications, The Annals of Mathematical Statistics 38 (1967), 1466–1474. MR0217826 (36:915)
4. J. D. Kumar and F. Proschan, Negative association of random variables with applications, The Annals of Statistics 11 (1983), 286–295. MR684886 (85d:62058)
5. C. McDiarmid, On the method of bounded differences, Surveys in Combinatorics, Cambridge University Press, 1989, pp. 148–188. MR1036755 (91e:05077)
6. A. Volodin, On the Kolmogorov exponential inequality for negatively dependent random variables, Pakistan Journal of Statistics 18 (2002), 249–253. MR1944611 (2003k:60053)
7. Y. L. Tong, Probability Inequalities in Multivariate Distributions, Academic Press, 1980. MR572617 (82k:60038)