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Volumn 25, Issue 2, 1997, Pages 818-850

Asymptotic expansion of M-estimators with long-memory errors

Author keywords

Appell polynomials; Moving average errors; Second order efficiency

Indexed keywords


EID: 0031518524     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1031833675     Document Type: Article
Times cited : (44)

References (14)
  • 1
    • 0000829711 scopus 로고
    • Noncentral limit theorems and Appell polynomials
    • AVRAM, F. and TAQQU, M. Ş. (1987). Noncentral limit theorems and Appell polynomials. Ann. Probab. 15 767-775.
    • (1987) Ann. Probab. , vol.15 , pp. 767-775
    • Avram, F.1    Taqqu, M.S.2
  • 2
    • 84950437219 scopus 로고
    • M-estimators of location for data with slowly decaying correlations
    • BERAN, J. (1991). M-estimators of location for data with slowly decaying correlations. J. Amer. Statist. Assoc. 86 704-708.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 704-708
    • Beran, J.1
  • 4
    • 0001627705 scopus 로고
    • The empirical process of some long-range dependent sequences with an application to U-statistics
    • DEHLING, H. and TAQQU, M. S. (1989). The empirical process of some long-range dependent sequences with an application to U-statistics. Ann. Statist. 17 1767-1783.
    • (1989) Ann. Statist. , vol.17 , pp. 1767-1783
    • Dehling, H.1    Taqqu, M.S.2
  • 6
    • 0030590328 scopus 로고    scopus 로고
    • Asymptotic normality of regression estimators with long memory errors
    • GIRAITIS, L., KOUL, H. L. and SURGAILIS, D. (1996). Asymptotic normality of regression estimators with long memory errors. Statist. Probab. Lett. 29 317-335.
    • (1996) Statist. Probab. Lett. , vol.29 , pp. 317-335
    • Giraitis, L.1    Koul, H.L.2    Surgailis, D.3
  • 7
    • 0001865584 scopus 로고
    • Multivariate Appell polynomials and the central limit theorem
    • E. Eberlein and M. S. Taqqu, eds. Birkhäuser, Boston
    • GIRAITIS, L. and SURGAILIS, D. (1986). Multivariate Appell polynomials and the central limit theorem. In Dependence in Probability and Statistics (E. Eberlein and M. S. Taqqu, eds.) 21-71. Birkhäuser, Boston.
    • (1986) Dependence in Probability and Statistics , pp. 21-71
    • Giraitis, L.1    Surgailis, D.2
  • 9
    • 0030500327 scopus 로고    scopus 로고
    • On the asymptotic expansion of the empirical process of long memory moving averages
    • Ho, H. C. and HSING, T. (1996). On the asymptotic expansion of the empirical process of long memory moving averages. Ann. Statist. 24 992-1024.
    • (1996) Ann. Statist. , vol.24 , pp. 992-1024
    • Ho, H.C.1    Hsing, T.2
  • 10
    • 38249013253 scopus 로고
    • M-estimators in linear models with long range dependent errors
    • KOUL, H. L. (1992). M-estimators in linear models with long range dependent errors. Statist. Probab. Lett. 14 153-164.
    • (1992) Statist. Probab. Lett. , vol.14 , pp. 153-164
    • Koul, H.L.1
  • 11
    • 34250081722 scopus 로고
    • Asymptotics of R-, MD-and LAD-estimators in linear regression models with long range dependent errors
    • KOUL, H. L. and MUKHERJEE, K. (1993). Asymptotics of R-, MD-and LAD-estimators in linear regression models with long range dependent errors. Probab. Theory Related Fields 95 535-553.
    • (1993) Probab. Theory Related Fields , vol.95 , pp. 535-553
    • Koul, H.L.1    Mukherjee, K.2
  • 12
    • 0000297429 scopus 로고
    • Zones of attraction of self-similar multiple integrals
    • SURGAILIS, D. (1982). Zones of attraction of self-similar multiple integrals. Lithuanian J. Math. 22 185-201.
    • (1982) Lithuanian J. Math. , vol.22 , pp. 185-201
    • Surgailis, D.1
  • 13
    • 0001712606 scopus 로고
    • A representation of self-similar process
    • TAQQU, M. S. (1978). A representation of self-similar process. Stochastic Process. Appl. 7 55-64.
    • (1978) Stochastic Process. Appl. , vol.7 , pp. 55-64
    • Taqqu, M.S.1
  • 14
    • 0001915941 scopus 로고
    • Convergence of integrated processes of arbitrary Hermite rank
    • TAQQU, M. S. (1979). Convergence of integrated processes of arbitrary Hermite rank. Z. Wahrsch. Verw. Gebiete 50 53-83.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , pp. 53-83
    • Taqqu, M.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.