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Volumn 73, Issue 4, 2005, Pages 411-424

Lower estimation of the remainder term in the CLT for a sum of the functions of k-spacings

Author keywords

Bounds of a remainder term; Central limit theorem; Characteristic function; Lindeberg's condition; Spacings

Indexed keywords


EID: 21044438911     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.04.016     Document Type: Article
Times cited : (18)

References (12)
  • 1
    • 21044443403 scopus 로고
    • On the asymptotic normality of functions of uniform spacings
    • J. Beirlant P. Janssen M. Veraverbeke On the asymptotic normality of functions of uniform spacings Canad. J. Statist. 19 1 1991 93-101
    • (1991) Canad. J. Statist. , vol.19 , Issue.1 , pp. 93-101
    • Beirlant, J.1    Janssen, P.2    Veraverbeke, M.3
  • 2
    • 21044458233 scopus 로고
    • Spacings and applications
    • Konecny, F., Mogyorodi, J., Wertz, W. (Eds.) Reidel, Dordrecht
    • Deheuvels, P., 1985. Spacings and applications. In: Konecny, F., Mogyorodi, J., Wertz, W. (Eds.), Probability and Statistical Decision Theory, vol. A. Reidel, Dordrecht, pp. 1-30.
    • (1985) Probability and Statistical Decision Theory , vol.A , pp. 1-30
    • Deheuvels, P.1
  • 3
    • 0010792395 scopus 로고
    • On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests
    • G.E. Del Pino On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests Ann. Statist. 7 1979 1058-1065
    • (1979) Ann. Statist. , vol.7 , pp. 1058-1065
    • Del Pino, G.E.1
  • 6
    • 0038094998 scopus 로고
    • Asymptotic normality of sum-functions of spacings
    • L. Holst Asymptotic normality of sum-functions of spacings Ann. Probab. 7 1979 1066-1072
    • (1979) Ann. Probab. , vol.7 , pp. 1066-1072
    • Holst, L.1
  • 7
    • 84988113067 scopus 로고
    • Asymptotic spacings theory with applications to the two sample problem
    • L. Holst J.S. Rao Asymptotic spacings theory with applications to the two sample problem Canad. J. Statist. 9 1981 603-610
    • (1981) Canad. J. Statist. , vol.9 , pp. 603-610
    • Holst, L.1    Rao, J.S.2
  • 8
    • 0000375797 scopus 로고
    • Asymptotic efficiencies of spacing tests for goodness of fits
    • R.S. Jammalamadaka X. Zhou R.C. Tiwari Asymptotic efficiencies of spacing tests for goodness of fits Metrika 36 1989 355-377
    • (1989) Metrika , vol.36 , pp. 355-377
    • Jammalamadaka, R.S.1    Zhou, X.2    Tiwari, R.C.3
  • 10
    • 0038876584 scopus 로고
    • Un theoreme sur la division d'une interwalle par des points pres au hasard
    • L. Le Cam Un theoreme sur la division d'une interwalle par des points pres au hasard Publ. Inst. Statist. Univ. Paris 7 1958 7-16
    • (1958) Publ. Inst. Statist. Univ. Paris , vol.7 , pp. 7-16
    • Le Cam, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.