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Tytuł artykułu
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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
Abstrakty
We prove an inequality for the difference between a joint distribution and the product of its marginals for certain classes of positively dependent random variables. Some multivariate extensions are also discussed.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
17--26
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Institute of Mathematics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland
Bibliografia
- [1] I. Bagai and B. L. S. Prakasa Rao, Estimation of the survival function for stationary associated processes, Statist. Probab. Lett. 12 (1991), pp. 385-391.
- [2] R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing. Probability Models, Holt, Rinehart and Winston, New York 1975.
- [3] S. Karlin and Y. Rinott, Classes orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions, J. Multivariate Anal. 10 (1980), pp. 467-498.
- [4] E. L. Lehmann, Some concepts of dependence, Ann. Math. Statist. 37 (1966), pp. 1137-1153.
- [5] P. Matuła, On some inequalities for positively and negatively dependent random variables with applications, Publ. Math. Debrecen 63/4 (2003), pp. 511-521.
- [6] A. Müller and D. Stoyan, Comparison Methods for Stochastic Models and Risks, Wiley, 2002.
- [7] R. B. Nelsen, An Introduction to Copulas, Springer, New York 1999.
- [8] C. M. Newman, Asymptotic independence and limit theorems for positively and negatively dependent random variables, in: Inequalilies in Statistics and Probability, Y. L. Tong (Ed.), Hayward CA, Inst. Math. Statist, 1984.
- [9] G. G. Roussas, Kernel estimates under association - strong uniform consistency, Statist. Probab. Lett. 12 (1991), pp. 393-403.
- [10] H. Yu, A Glivenko-Cantelli lemma and weak convergence for empirical processes of associated sequences, Probab. Theory Related Fields 95 (1993), pp. 357-370.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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