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Volumn 24, Issue 4, 1996, Pages 2079-2097

A strong invariance principle for associated sequences

Author keywords

Association; Blocking technique; Partial sums; Quantile transform; Strong invariance principle

Indexed keywords


EID: 0030363243     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1041903219     Document Type: Article
Times cited : (24)

References (29)
  • 2
    • 34250106586 scopus 로고
    • Convergence rates in the strong law for bounded mixing sequences
    • BERBEE, H. (1987). Convergence rates in the strong law for bounded mixing sequences. Probab. Theory Related Fields 74 255-270.
    • (1987) Probab. Theory Related Fields , vol.74 , pp. 255-270
    • Berbee, H.1
  • 3
    • 0002641260 scopus 로고
    • Approximation theorems for independent and weakly dependent random variables
    • BERKES, I. and PHILIPP, W. (1979). Approximation theorems for independent and weakly dependent random variables. Ann. Probab. 7 29-54.
    • (1979) Ann. Probab. , vol.7 , pp. 29-54
    • Berkes, I.1    Philipp, W.2
  • 5
    • 38249037816 scopus 로고
    • The invariance principle for associated processes
    • BIRKEL, T. (1987). The invariance principle for associated processes. Stochastic Process. Appl. 27 57-71.
    • (1987) Stochastic Process. Appl. , vol.27 , pp. 57-71
    • Birkel, T.1
  • 6
    • 0000552004 scopus 로고
    • On the convergence rate in the central limit theorems for associated processes
    • BIRKEL, T. (1988a). On the convergence rate in the central limit theorems for associated processes. Ann. Probab. 16 1685-1698.
    • (1988) Ann. Probab. , vol.16 , pp. 1685-1698
    • Birkel, T.1
  • 7
    • 0000063095 scopus 로고
    • Moment bounds for associated sequences
    • BIRKEL, T. (1988b). Moment bounds for associated sequences. Ann. Probab. 16 1184-1193.
    • (1988) Ann. Probab. , vol.16 , pp. 1184-1193
    • Birkel, T.1
  • 8
    • 0001214025 scopus 로고
    • An invariance principle for weakly associated random variables
    • BURTON, R. M., DABROWSKI, A. R. and DEHLING, H. (1986). An invariance principle for weakly associated random variables. Stochastic Process. Appl. 23 301-306.
    • (1986) Stochastic Process. Appl. , vol.23 , pp. 301-306
    • Burton, R.M.1    Dabrowski, A.R.2    Dehling, H.3
  • 9
    • 0000145022 scopus 로고
    • Central limit theorems for associated random variables and the percolation model
    • COX, J. T. and GRIMMETT, G. (1984). Central limit theorems for associated random variables and the percolation model. Ann. Probab. 12 514-528.
    • (1984) Ann. Probab. , vol.12 , pp. 514-528
    • Cox, J.T.1    Grimmett, G.2
  • 10
    • 34250407340 scopus 로고
    • A new method to prove Strassen type laws of invariance principle
    • CSÖRGO, M. and RÉVÉSZ, P. (1975a). A new method to prove Strassen type laws of invariance principle. I. Z. Wahrsch. Verw. Gebiete 31 255-260.
    • (1975) I. Z. Wahrsch. Verw. Gebiete , vol.31 , pp. 255-260
    • Csörgo, M.1    Révész, P.2
  • 11
    • 34250405623 scopus 로고
    • A new method to prove strassen type laws of invariance principle. II
    • CSÖRGO, M. and RÉVÉSZ, P. (1975b). A new method to prove Strassen type laws of invariance principle. II. Z. Wahrsch. Verw. Gebiete 31 261-269.
    • (1975) Z. Wahrsch. Verw. Gebiete , vol.31 , pp. 261-269
    • Csörgo, M.1    Révész, P.2
  • 13
    • 0000124326 scopus 로고
    • A Berry-Esseen theorem and a functional law of the iterated logarithm for weakly associated random variables
    • DABROWSKI, A. R. and DEHLING, H. (1988). A Berry-Esseen theorem and a functional law of the iterated logarithm for weakly associated random variables. Stochastic Process. Appl. 30 277-289.
    • (1988) Stochastic Process. Appl. , vol.30 , pp. 277-289
    • Dabrowski, A.R.1    Dehling, H.2
  • 14
    • 0001382704 scopus 로고
    • Association of random variables with applications
    • ESARY, J., PROSCHAN, F. and WALKUP, D. (1967). Association of random variables with applications. Ann. Math. Statist. 38 1466-1474.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 1466-1474
    • Esary, J.1    Proschan, F.2    Walkup, D.3
  • 16
    • 0000411204 scopus 로고
    • An approximation of partial sums of independent R.V.'s and the sample DF. I
    • KÓMLOS, J., MAJOR, P. and TUSNADY, G. (1975). An approximation of partial sums of independent R.V.'s and the sample DF. I. Z. Wahrsch. Verw. Gebiete 32 111-131.
    • (1975) Z. Wahrsch. Verw. Gebiete , vol.32 , pp. 111-131
    • Kómlos, J.1    Major, P.2    Tusnady, G.3
  • 17
    • 34250393026 scopus 로고
    • An approximation of partial sums of independent R.V.'s and the sample DF. II
    • KÓMLOS, J., MAJOR, P. and TUSNADY, G. (1976). An approximation of partial sums of independent R.V.'s and the sample DF. II. Z. Wahrsch. Verw. Gebiete 34 35-58.
    • (1976) Z. Wahrsch. Verw. Gebiete , vol.34 , pp. 35-58
    • Kómlos, J.1    Major, P.2    Tusnady, G.3
  • 19
    • 0002636084 scopus 로고
    • Normal fluctuations and the FKG inequalities
    • NEWMAN, C. M. (1980). Normal fluctuations and the FKG inequalities. Comm. Math. Phys. 74 119-128.
    • (1980) Comm. Math. Phys. , vol.74 , pp. 119-128
    • Newman, C.M.1
  • 20
    • 0002733273 scopus 로고
    • A general central limit theorem for FKG systems
    • NEWMAN, C. M. (1983). A general central limit theorem for FKG systems. Comm. Math. Phys. 91 75-80.
    • (1983) Comm. Math. Phys. , vol.91 , pp. 75-80
    • Newman, C.M.1
  • 21
    • 0001421474 scopus 로고
    • An invariance principle for certain dependent sequences
    • NEWMAN, C. M. and WRIGHT, A. L. (1981). An invariance principle for certain dependent sequences. Ann. Probab. 9 671-675.
    • (1981) Ann. Probab. , vol.9 , pp. 671-675
    • Newman, C.M.1    Wright, A.L.2
  • 22
    • 0003145816 scopus 로고
    • Invariance principles for independent and weakly dependent random variables
    • (E. Eberlein and M. Taqque, eds.) Birkhäuser, Boston
    • PHILIPP, W. (1986). Invariance principles for independent and weakly dependent random variables. In Dependence in Probability and Statistics (E. Eberlein and M. Taqque, eds.) 225-268. Birkhäuser, Boston.
    • (1986) Dependence in Probability and Statistics , pp. 225-268
    • Philipp, W.1
  • 23
    • 0001779250 scopus 로고
    • Almost sure invariance principles for partial sums of weakly dependent random variables
    • PHILIPP, W. and STOUT, W. F. (1975). Almost sure invariance principles for partial sums of weakly dependent random variables. Mem. Amer. Math. Soc. 161.
    • (1975) Mem. Amer. Math. Soc. , vol.161
    • Philipp, W.1    Stout, W.F.2
  • 24
    • 0001509312 scopus 로고
    • Positively correlated normal variables are associated
    • PITT, L. D. (1982). Positively correlated normal variables are associated. Ann. Probab. 10 496-499.
    • (1982) Ann. Probab. , vol.10 , pp. 496-499
    • Pitt, L.D.1
  • 25
    • 0000616137 scopus 로고
    • A Berry-Esseen theorem for associated random variables
    • WOOD, T. E. (1983). A Berry-Esseen theorem for associated random variables. Ann. Probab. 11 1042-1047.
    • (1983) Ann. Probab. , vol.11 , pp. 1042-1047
    • Wood, T.E.1
  • 26
    • 0039075856 scopus 로고
    • A local limit theorem for associated sequences
    • WOOD, T. E. (1985). A local limit theorem for associated sequences. Ann. Probab. 13 625-629.
    • (1985) Ann. Probab. , vol.13 , pp. 625-629
    • Wood, T.E.1
  • 27
    • 0009878656 scopus 로고
    • An invariance principle for associated sequences of random variables
    • YU, H. (1985). An invariance principle for associated sequences of random variables. J. Engrg. Math. 2 55-60.
    • (1985) J. Engrg. Math. , vol.2 , pp. 55-60
    • Yu, H.1
  • 28
    • 0039667956 scopus 로고
    • The law of the iterated logarithm for associated random variables
    • YU, H. (1986). The law of the iterated logarithm for associated random variables. Acta Math. Sinica 29 507-511.
    • (1986) Acta Math. Sinica , vol.29 , pp. 507-511
    • Yu, H.1
  • 29
    • 21144460614 scopus 로고
    • A Glivenko-Cantelli lemma and weak convergence for empirical processes of associated sequences
    • YU, H. (1993). A Glivenko-Cantelli lemma and weak convergence for empirical processes of associated sequences. Probab. Theory Related Fields 95 357-370.
    • (1993) Probab. Theory Related Fields , vol.95 , pp. 357-370
    • Yu, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.