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Volumn 28, Issue 1, 1996, Pages 41-49

Some remarks on the uniform weak convergence of stochastic processes 1

Author keywords

Empirical process; Local process; Weak convergence

Indexed keywords


EID: 0030159541     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-7152(95)00080-1     Document Type: Article
Times cited : (2)

References (20)
  • 1
    • 0000364894 scopus 로고
    • The central limit theorem for stochastic processes
    • Andersen, N.T. and V. Dobrić (1987), The central limit theorem for stochastic processes, Ann. Probab. 15, 164-177.
    • (1987) Ann. Probab. , vol.15 , pp. 164-177
    • Andersen, N.T.1    Dobrić, V.2
  • 2
    • 0000206992 scopus 로고
    • Limits of canonical U-processes and B-valued U-statistics
    • Arcones, M.A. (1994), Limits of canonical U-processes and B-valued U-statistics, J. Theory. Probab. 7, 339-349.
    • (1994) J. Theory. Probab. , vol.7 , pp. 339-349
    • Arcones, M.A.1
  • 4
    • 0001666999 scopus 로고
    • Limit theorems for U-processes
    • Arcones, M.A. and E. Giné (1993), Limit theorems for U-processes, Ann. Probab. 21, 1494-1542.
    • (1993) Ann. Probab. , vol.21 , pp. 1494-1542
    • Arcones, M.A.1    Giné, E.2
  • 5
    • 0002978088 scopus 로고
    • The space D(A) and weak convergence for set-indexed processes
    • Bass, R.F. and R. Pyke (1985), The space D(A) and weak convergence for set-indexed processes, Ann. Probab. 73, 860-884.
    • (1985) Ann. Probab. , vol.73 , pp. 860-884
    • Bass, R.F.1    Pyke, R.2
  • 6
    • 0000218322 scopus 로고
    • Functional laws of the iterated logarithm for local empirical processes indexed by sets
    • Deheuvels, P. and D.M. Mason (1994), Functional laws of the iterated logarithm for local empirical processes indexed by sets, Ann. Probab. 22, 1619-1661.
    • (1994) Ann. Probab. , vol.22 , pp. 1619-1661
    • Deheuvels, P.1    Mason, D.M.2
  • 7
    • 84972539443 scopus 로고
    • Weak convergence of probabilities on nonseparable metric spaces and empiriral measures on Euclidean spaces
    • Dudley, R.M. (1966), Weak convergence of probabilities on nonseparable metric spaces and empiriral measures on Euclidean spaces, Illinois. J. Math. 10, 109-126.
    • (1966) Illinois. J. Math. , vol.10 , pp. 109-126
    • Dudley, R.M.1
  • 8
    • 84972514517 scopus 로고
    • Measures on non-separable metric spaces
    • Dudley, R.M. (1967), Measures on non-separable metric spaces, Illinois J. Math. 11, 449-453.
    • (1967) Illinois J. Math. , vol.11 , pp. 449-453
    • Dudley, R.M.1
  • 9
    • 0000421687 scopus 로고
    • Central limit theorem for empirical processes
    • Dudley, R.M. (1978), Central limit theorem for empirical processes, Ann. Probab. 6, 899-929.
    • (1978) Ann. Probab. , vol.6 , pp. 899-929
    • Dudley, R.M.1
  • 10
    • 0001151383 scopus 로고
    • An extended Wichura theorem, definitions of Donsker class and weighted empirical distributions
    • Springer, New York
    • Dudley, R.M. (1985), An extended Wichura theorem, definitions of Donsker class and weighted empirical distributions, Lecture Notes in Mathamatics, Vol. 1153, pp. 141-178 (Springer, New York).
    • (1985) Lecture Notes in Mathamatics , vol.1153 , pp. 141-178
    • Dudley, R.M.1
  • 11
    • 0002501936 scopus 로고
    • Lectures on the central limit theorem for empirical processes
    • Springer, New York
    • Giné, E. and J. Zinn (1986), Lectures on the central limit theorem for empirical processes, Lecture Notes in Mathematics, Vol. 1221, pp. 50-112 (Springer, New York).
    • (1986) Lecture Notes in Mathematics , vol.1221 , pp. 50-112
    • Giné, E.1    Zinn, J.2
  • 12
    • 0011511440 scopus 로고
    • Aarhus Univ. Mat. Inst. Various Publications Series, No. 39 (Aarhus, Denmark)
    • Hoffmann-Jørgensen, J. (1984), Stochastic Processes on Polish Spaces, Aarhus Univ. Mat. Inst. Various Publications Series, No. 39 (Aarhus, Denmark).
    • (1984) Stochastic Processes on Polish Spaces
    • Hoffmann-Jørgensen, J.1
  • 13
    • 0011490630 scopus 로고
    • Multiple integration with respect to Poisson and Lévy processes
    • Kallenberg, O. and J. Szulga (1989), Multiple integration with respect to Poisson and Lévy processes, Probab. Theory Related Fields 83, 101-134.
    • (1989) Probab. Theory Related Fields , vol.83 , pp. 101-134
    • Kallenberg, O.1    Szulga, J.2
  • 15
    • 0003486737 scopus 로고
    • Empirical Processes: Theory and Applications
    • Institute of Mathematical Statistics, Hayward, CA
    • Pollard, D. (1990), Empirical Processes: Theory and Applications, NSF-CBMS Regional Conference Series in Probab. and Statist., Vol. 2 (Institute of Mathematical Statistics, Hayward, CA).
    • (1990) NSF-CBMS Regional Conference Series in Probab. and Statist. , vol.2
    • Pollard, D.1
  • 16
    • 0000033355 scopus 로고
    • Convergence of random process and limit theorems in probability theory
    • Prokhorov, Yu.V. (1956), Convergence of random process and limit theorems in probability theory, Theory Probab. Applic. 1, 157-214.
    • (1956) Theory Probab. Applic. , vol.1 , pp. 157-214
    • Prokhorov, Yu.V.1
  • 18
    • 0001380311 scopus 로고
    • Limit theorems for stochastic processes
    • Skorokhod, A.V. (1956), Limit theorems for stochastic processes, Theory Probab. Appl. 1, 261-290
    • (1956) Theory Probab. Appl. , vol.1 , pp. 261-290
    • Skorokhod, A.V.1
  • 19
    • 0000857241 scopus 로고
    • Weak convergence of stochastic processes with several parameters
    • Univ. of California Press. California
    • Straf, M. (1972), Weak convergence of stochastic processes with several parameters, Proc. 6th Berkeley Symp. Math Statist. Probab. Vol. 2, pp. 187-221 (Univ. of California Press. California).
    • (1972) Proc. 6th Berkeley Symp. Math Statist. Probab. , vol.2 , pp. 187-221
    • Straf, M.1
  • 20
    • 0011399956 scopus 로고
    • Distribution related to linear bounds for the empirical distribution function
    • Wellner, J.A. (1977), Distribution related to linear bounds for the empirical distribution function, Ann. Statist. 5, 1003-1016.
    • (1977) Ann. Statist. , vol.5 , pp. 1003-1016
    • Wellner, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.