메뉴 건너뛰기




Volumn 73, Issue 2, 2005, Pages 189-197

An exponential inequality for associated variables

Author keywords

Association; Exponential inequality

Indexed keywords


EID: 20444505652     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2004.11.023     Document Type: Article
Times cited : (28)

References (14)
  • 1
    • 84972574511 scopus 로고
    • Weighted sums of certain dependent random variables
    • K. Azuma Weighted sums of certain dependent random variables Tôhoku Math. J. 19 1967 357-367
    • (1967) Tôhoku Math. J. , vol.19 , pp. 357-367
    • Azuma, K.1
  • 2
    • 38249037816 scopus 로고
    • The invariance principle for associated processes
    • T. Birkel The invariance principle for associated processes Stochastic Process. Appl. 27 1988 57-71
    • (1988) Stochastic Process Appl. , vol.27 , pp. 57-71
    • Birkel, T.1
  • 3
    • 0004329796 scopus 로고    scopus 로고
    • Nonparametric Statistics for Stochastic Processes Springer, Berlin
    • Bosq, D., 1996. Nonparametric Statistics for Stochastic Processes. Lecture Notes in Statistics, vol. 110, Springer, Berlin.
    • (1996) Lecture Notes in Statistics , vol.110
    • Bosq, D.1
  • 4
    • 58549113290 scopus 로고
    • Une nouvelle inégalité de grandes deviations
    • M. Carbon Une nouvelle inégalité de grandes deviations. Applications Publ. IRMA Lille 32 1993 XI
    • (1993) Applications. Publ. IRMA Lille , vol.32 , pp. 11
    • Carbon, M.1
  • 5
    • 0002533759 scopus 로고
    • Exponential inequalities in nonparametric estimation
    • Roussas, G. (Ed.) Kluwer Academic Publishers, Dordrecht
    • Devroye, L., 1991. Exponential inequalities in nonparametric estimation. In: Roussas, G. (Ed.), Nonparametric Functional Estimation and Related Topics. Kluwer Academic Publishers, Dordrecht, pp. 31-44.
    • (1991) Nonparametric Functional Estimation and Related Topics , pp. 31-44
    • Devroye, L.1
  • 6
    • 0010994203 scopus 로고    scopus 로고
    • A general method of density estimation for associated random variables
    • I. Dewan B.L.S. Prakasa Rao A general method of density estimation for associated random variables J. Nonparametric Statist. 10 1999 405-420
    • (1999) J. Nonparametric Statist. , vol.10 , pp. 405-420
    • Dewan, I.1    Prakasa Rao, B.L.S.2
  • 7
    • 0001382704 scopus 로고
    • Association of random variables, with applications
    • J.D. Esary F. Proschan D.W. Walkup Association of random variables, with applications Ann. Math. Statist. 38 1967 1466-1474
    • (1967) Ann. Math. Statist. , vol.38 , pp. 1466-1474
    • Esary, J.D.1    Proschan, F.2    Walkup, D.W.3
  • 8
    • 20444507507 scopus 로고    scopus 로고
    • Convergence rates for the estimation of two-dimensional distribution functions under association and estimation of the covariance of the limit empirical process
    • Pré-Publicações do Departamento de Matemática da Universidade de Coimbra 02-05. Preprint
    • Henriques, C., Oliveira, P.E., 2002a. Convergence rates for the estimation of two-dimensional distribution functions under association and estimation of the covariance of the limit empirical process. Pré-Publicações do Departamento de Matemática da Universidade de Coimbra 02-05. Preprint.
    • (2002)
    • Henriques, C.1    Oliveira, P.E.2
  • 9
    • 84858923081 scopus 로고    scopus 로고
    • Exponential rates for kernel density estimation under association
    • Pré-Publicações do Departamento de Matemática da Universidade de Coimbra 02-23. Preprint
    • Henriques, C., Oliveira, P.E., 2002b. Exponential rates for kernel density estimation under association. Pré-Publicações do Departamento de Matemática da Universidade de Coimbra 02-23. Preprint.
    • (2002)
    • Henriques, C.1    Oliveira, P.E.2
  • 10
    • 0033130354 scopus 로고    scopus 로고
    • Exponential inequality for associated random variables
    • D.A. Ioannides G.G. Roussas Exponential inequality for associated random variables Statist. Probab. Lett. 42 1998 423-431
    • (1998) Statist. Probab. Lett. , vol.42 , pp. 423-431
    • Ioannides, D.A.1    Roussas, G.G.2
  • 11
    • 0000739250 scopus 로고
    • Some concepts of dependence
    • E.L. Lehmann Some concepts of dependence Ann. Math. Statist. 37 1966 1137-1153
    • (1966) Ann. Math. Statist. , vol.37 , pp. 1137-1153
    • Lehmann, E.L.1
  • 13
    • 0002636084 scopus 로고
    • Normal fluctuation and the FKG inequalities
    • C. Newman Normal fluctuation and the FKG inequalities Comm. Math. Phys. 74 1980 119-128
    • (1980) Comm. Math. Phys. , vol.74 , pp. 119-128
    • Newman, C.1
  • 14
    • 0001478817 scopus 로고
    • Asymptotic independence and limit theorems for positively and negatively dependent random variables
    • Tong, Y.L. (Ed.) Inequalities in Statistics and Probability
    • Newman, C., 1984. Asymptotic independence and limit theorems for positively and negatively dependent random variables. In: Tong, Y.L. (Ed.), Inequalities in Statistics and Probability, IMS Lecture Notes - Monograph Series, vol. 5, pp. 127-140.
    • (1984) IMS Lecture Notes - Monograph Series , vol.5 , pp. 127-140
    • Newman, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.