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Volumn 41, Issue 2, 2013, Pages 785-816

A CLT for empirical processes involving time-dependent data

Author keywords

Central limit theorems; Empirical processes

Indexed keywords


EID: 84878993519     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-AOP711     Document Type: Article
Times cited : (10)

References (19)
  • 1
    • 0003859015 scopus 로고
    • The central limit theorem, and the law of iterated logarithm for empirical processes under local conditions
    • MR0927241
    • ANDERSEN, N. T., GINÉ, E., OSSIANDER, M. and ZINN, J. (1988). The central limit theorem and the law of iterated logarithm for empirical processes under local conditions. Probab. Theory Related Fields 77 271-305. MR0927241
    • (1988) Probab. Theory Related Fields , vol.77 , pp. 271-305
    • Andersen, N.T.1    Giné, E.2    Ossiander, M.3    Zinn, J.4
  • 3
    • 0003208010 scopus 로고    scopus 로고
    • Uniform Central Limit Theorems
    • Cambridge Univ. Press, Cambridge. MR1720712
    • DUDLEY, R. M. (1999). Uniform Central Limit Theorems. Cambridge Studies in Advanced Mathematics 63. Cambridge Univ. Press, Cambridge. MR1720712
    • (1999) Cambridge Studies in Advanced Mathematics 63.
    • Dudley, R.M.1
  • 4
    • 0003604817 scopus 로고
    • Mathematical Statistics: A Decision Theoretic Approach
    • Academic Press, New York. MR0215390
    • FERGUSON, T. S. (1967). Mathematical Statistics: A Decision Theoretic Approach. Probability, and Mathematical Statistics 1. Academic Press, New York. MR0215390
    • (1967) Probability, and Mathematical Statistics 1.
    • Ferguson, T.S.1
  • 5
    • 0001783943 scopus 로고
    • RegularitÉ des trajectoires des fonctions alÉatoires gaussiennes
    • École D'ÉtÉ de ProbabilitÉs de Saint-Flour, IV-1974. Lecture Notes in Math.Springer, Berlin. MR0413238
    • FERNIQUE, X. (1975). RegularitÉ des trajectoires des fonctions alÉatoires gaussiennes. In École D'ÉtÉ de ProbabilitÉs de Saint-Flour, IV-1974. Lecture Notes in Math. 480 1-96. Springer, Berlin. MR0413238
    • (1975) , vol.480 , pp. 1-96
    • Fernique, X.1
  • 6
    • 0039337866 scopus 로고
    • Sur la convergence Étroite des mesures gaussiennes
    • MR0771470
    • FERNIQUE, X. (1985). Sur la convergence Étroite des mesures gaussiennes. Z. Wahrsch. Verw. Gebiete 68 331-336. MR0771470
    • (1985) Z. Wahrsch. Verw. Gebiete , vol.68 , pp. 331-336
    • Fernique, X.1
  • 7
    • 0000145024 scopus 로고
    • Some limit theorems for empirical processes (with discussion)
    • MR0757767
    • GINÉ, E., and ZINN, J. (1984). Some limit theorems for empirical processes (with discussion). Ann. Probab. 12 929-998. MR0757767
    • (1984) Ann. Probab. , vol.12 , pp. 929-998
    • Giné, E.1    Zinn, J.2
  • 8
    • 0001855160 scopus 로고
    • Rates of clustering for some Gaussian self-similar processes
    • MR1094077
    • GOODMAN, V. andKUELBS, J. (1991). Rates of clustering for some Gaussian self-similar processes. Probab. Theory Related Fields 88 47-75. MR1094077
    • (1991) Probab. Theory Related Fields , vol.88 , pp. 47-75
    • Goodman, V.1    Kuelbs, J.2
  • 9
    • 0001545384 scopus 로고
    • A strong convergence theorem for Banach space valued random variables
    • MR0420771
    • KUELBS, J. (1976). A strong convergence theorem for Banach space valued random variables. Ann. Probab. 4 744-771. MR0420771
    • (1976) Ann. Probab. , vol.4 , pp. 744-771
    • Kuelbs, J.1
  • 11
    • 68049105110 scopus 로고    scopus 로고
    • On the distributional transform, Sklar's theorem,, and the empirical copula process
    • MR2553778
    • RÜSCHENDORF, L. (2009). On the distributional transform, Sklar's theorem,, and the empirical copula process. J. Statist. Plann. Inference 139 3921-3927. MR2553778
    • (2009) J. Statist. Plann. Inference , vol.139 , pp. 3921-3927
    • Rüschendorf, L.1
  • 12
    • 0000644480 scopus 로고
    • Random variables, joint distribution functions,, and copulas
    • MR0345164
    • SKLAR, A. (1973). Random variables, joint distribution functions,, and copulas. Kybernetika (Prague) 9 449-460. MR0345164
    • (1973) Kybernetika (Prague) , vol.9 , pp. 449-460
    • Sklar, A.1
  • 13
    • 33847662462 scopus 로고    scopus 로고
    • Weak convergence of the scaled median of independent Brownian motions
    • MR2288071
    • SWANSON, J. (2007). Weak convergence of the scaled median of independent Brownian motions. Probab. Theory Related Fields 138 269-304. MR2288071
    • (2007) Probab. Theory Related Fields , vol.138 , pp. 269-304
    • Swanson, J.1
  • 14
    • 78751591174 scopus 로고    scopus 로고
    • Fluctuations of the empirical quantiles of independent Brownian motions
    • MR2763093
    • SWANSON, J. (2011). Fluctuations of the empirical quantiles of independent Brownian motions. Stochastic Process. Appl. 121 479-514. MR2763093
    • (2011) Stochastic Process. Appl. , vol.121 , pp. 479-514
    • Swanson, J.1
  • 15
    • 27544503033 scopus 로고
    • Donsker classes of sets
    • MR0945108
    • TALAGRAND, M. (1988). Donsker classes of sets. Probab. Theory Related Fields 78 169-191. MR0945108
    • (1988) Probab. Theory Related Fields , vol.78 , pp. 169-191
    • Talagrand, M.1
  • 18
    • 34250446904 scopus 로고
    • Functional central limit theorems for processes with positive drift, and their inverses
    • MR0321164
    • VERVAAT, W. (1972). Functional central limit theorems for processes with positive drift, and their inverses. Z. Wahrsch. Verw. Gebiete 23 245-253. MR0321164
    • (1972) Z. Wahrsch. Verw. Gebiete , vol.23 , pp. 245-253
    • Vervaat, W.1
  • 19
    • 84966207506 scopus 로고
    • Wiener measure in a space of functions of two variables
    • MR0125433
    • YEH, J. (1960). Wiener measure in a space of functions of two variables. Trans. Amer. Math. Soc. 95 433-450. MR0125433
    • (1960) Trans. Amer. Math. Soc. , vol.95 , pp. 433-450
    • Yeh, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.