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Volumn 14, Issue 4, 1999, Pages 406-416

Convergence rates in the strong laws of asymptotically negatively associated random fields

Author keywords

Asymptotic negative association; Random fields; Rosenthal type inequality; Strong law of large numbers; * mixing; mixing

Indexed keywords


EID: 84979052131     PISSN: 10051031     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11766-999-0070-6     Document Type: Article
Times cited : (45)

References (16)
  • 1
    • 0000709793 scopus 로고
    • Negative association of random variables with applications
    • Joag-Dev, K. and Proschan, F., Negative association of random variables with applications, Ann. Statist., 1983, 11: 286-295.
    • (1983) Ann. Statist , vol.11 , pp. 286-295
    • Joag-Dev, K.1    Proschan, F.2
  • 2
    • 0000571327 scopus 로고
    • A note on the almost sure convergence of sums of negatively dependent random variables
    • Matula, P., A note on the almost sure convergence of sums of negatively dependent random variables, Statist. Probab. Lett., 1992, 15: 209-213.
    • (1992) Statist. Probab. Lett , vol.15 , pp. 209-213
    • Matula, P.1
  • 3
    • 84979084690 scopus 로고
    • A Comparsion theorem on maximal inequalities between negatively associated and independent random variables
    • Shao Q. M., A Comparsion theorem on maximal inequalities between negatively associated and independent random variables, Manuscript, 1995.
    • (1995) Manuscript
    • Shao, Q.M.1
  • 4
    • 0346719558 scopus 로고    scopus 로고
    • The moment inequalities and weak convergence for negatively associated sequences
    • Zhao, L. C., Su, C. and Wang, Y. B., The moment inequalities and weak convergence for negatively associated sequences, Sci. China Ser. A,1997, 40:172-182.
    • (1997) Sci. China Ser. A , vol.40 , pp. 172-182
    • Zhao, L.C.1    Su, C.2    Wang, Y.B.3
  • 5
    • 2842571427 scopus 로고    scopus 로고
    • A theorem of Hsu-Robbins type for negatively associated sequence
    • Su, C., A theorem of Hsu-Robbins type for negatively associated sequence. Chinese Science Bulletin, 1996, 41, 441-446.
    • (1996) Chinese Science Bulletin , vol.41 , pp. 441-446
    • Su, C.1
  • 6
    • 0000909314 scopus 로고
    • On the spectral density and asymptotic normality of dependence between random variables
    • Bradkey, R. C., On the spectral density and asymptotic normality of dependence between random variables, J. Theoret. Probab., 1992, 5:355-373.
    • (1992) J. Theoret. Probab , vol.5 , pp. 355-373
    • Bradkey, R.C.1
  • 7
    • 0000773591 scopus 로고
    • Multilinear forms and measures of dependence between random variables
    • Bradley, R. C. and Bryc, W., Multilinear forms and measures of dependence between random variables, J. Multivariate Anal., 1985, 16:335-367.
    • (1985) J. Multivariate Anal , vol.16 , pp. 335-367
    • Bradley, R.C.1    Bryc, W.2
  • 8
    • 0000615678 scopus 로고
    • A CLT for periodograms of a p*-mixing random field
    • Miller, C., A CLT for periodograms of a p*-mixing random field, Stochastic Process. Appl., 1995, 60: 313-330.
    • (1995) Stochastic Process. Appl , vol.60 , pp. 313-330
    • Miller, C.1
  • 9
    • 0000330376 scopus 로고
    • Three theorems on random fields with p*-mixing
    • Miller, C., Three theorems on random fields with p*-mixing, J. Theoret. probab., 1994, 7: 867-882.
    • (1994) J. Theoret. Probab , vol.7 , pp. 867-882
    • Miller, C.1
  • 10
    • 84978998685 scopus 로고    scopus 로고
    • Convergence rates in the strong laws of non-stationary p*-mixing random fields
    • Zhang, L. X., Convergence rates in the strong laws of non-stationary p*-mixing random fields, Manuscript, 1996.
    • (1996) Manuscript
    • Zhang, L.X.1
  • 11
    • 0039768212 scopus 로고    scopus 로고
    • Rosenthal type inequalities for B-valued strong mixing random fields and their applications
    • Zhang, L. X., Rosenthal type inequalities for B-valued strong mixing random fields and their applications, Sci. China Ser. A, 1998, 41: 736-745.
    • (1998) Sci. China Ser. A , vol.41 , pp. 736-745
    • Zhang, L.X.1
  • 12
    • 84979084707 scopus 로고    scopus 로고
    • A functional central limit theorem for asympotically negatively dependent random fields
    • Zhang, L. X., A functional central limit theorem for asympotically negatively dependent random fields, Manuscript, to appear in Acta Math. Hungar.
    • Manuscript, to Appear in Acta Math. Hungar
    • Zhang, L.X.1
  • 13
    • 0009968238 scopus 로고
    • A general moment inequality for the maximum of partial sums of single series
    • Maricz, F., A general moment inequality for the maximum of partial sums of single series, Acta. Sci. Math., 1982, 44: 67-75.
    • (1982) Acta. Sci. Math , vol.44 , pp. 67-75
    • Maricz, F.1
  • 14
    • 0000048010 scopus 로고
    • Maximal inequalities for sums of p-mixing sequences
    • Shao, Q. M., Maximal inequalities for sums of p-mixing sequences, Ann. Probab., 1995, 23: 948-965.
    • (1995) Ann. Probab , vol.23 , pp. 948-965
    • Shao, Q.M.1
  • 15
    • 0003129058 scopus 로고
    • Complete convergence and the law of large numbers
    • Hsu, P. L. and Robbins, H., Complete convergence and the law of large numbers, Proc. Nat. Acad. Sci. U.S. A., 1947, 33: 25-31.
    • (1947) Proc. Nat. Acad. Sci. U.S. A , vol.33 , pp. 25-31
    • Hsu, P.L.1    Robbins, H.2
  • 16
    • 26544432387 scopus 로고
    • Laboratory for Research in Statistics and Probability Technical Report Series 168,Carleton Univ.-Univ. Ottawa
    • Csörgö M., Horváth, L. and Shao, Q. M., Almost sure summability of partial sums, Laboratory for Research in Statistics and Probability Technical Report Series 168,Carleton Univ.-Univ. Ottawa, 1991.
    • (1991) Almost Sure Summability of Partial Sums
    • Csörgö, M.1    Horváth, L.2    Shao, Q.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.