메뉴 건너뛰기




Volumn 27, Issue 4, 1999, Pages 1230-1239

Tests of goodness of fit based on the L2-Wasserstein distance

Author keywords

Brownian bridge; Convergence of integrals; Correlation test; Goodness of fit; Quantile process; Shapiro Wilk; Test of normality; Wasserstein distance

Indexed keywords


EID: 0033177319     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1017938923     Document Type: Article
Times cited : (142)

References (15)
  • 1
    • 0000485156 scopus 로고
    • Some asymptotic theory for the bootstrap
    • BICKEL, P. and FREEDMAN, D. (1981). Some asymptotic theory for the bootstrap. Ann. Statist. 9 1196-1217.
    • (1981) Ann. Statist. , vol.9 , pp. 1196-1217
    • Bickel, P.1    Freedman, D.2
  • 2
    • 0030343178 scopus 로고    scopus 로고
    • Normal scores, normal plots, and test for normality
    • BROWN, B. and HETTMANSPERGER, T. (1996). Normal scores, normal plots, and test for normality. J. Amer. Statist. Assoc. 91 1668-1675.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1668-1675
    • Brown, B.1    Hettmansperger, T.2
  • 4
    • 0001280319 scopus 로고
    • p norms of weighted uniform empirical and quantile process
    • p norms of weighted uniform empirical and quantile process. Ann. Probab. 16 142-161.
    • (1988) Ann. Probab. , vol.16 , pp. 142-161
    • Csörgo, M.1    Horváth, L.2
  • 6
    • 0000651517 scopus 로고
    • Convergence of integrals of uniform empirical and quantile processes
    • CSÖRGO, M., HORVÁTH, L. and SHAO, Q.-M. (1993). Convergence of integrals of uniform empirical and quantile processes. Stochastic Process. Appl. 45 283-294.
    • (1993) Stochastic Process. Appl. , vol.45 , pp. 283-294
    • Csörgo, M.1    Horváth, L.2    Shao, Q.-M.3
  • 7
    • 0000468751 scopus 로고
    • Strong approximations of the quantile process
    • CSÖRGO, M. and RÉVÉSZ, P. (1978). Strong approximations of the quantile process. Ann. Statist. 6 882-894.
    • (1978) Ann. Statist. , vol.6 , pp. 882-894
    • Csörgo, M.1    Révész, P.2
  • 9
    • 0000690973 scopus 로고
    • Asymptotic distributions of certain test criteria of normality
    • DE WET, T. and VENTER, J. (1972). Asymptotic distributions of certain test criteria of normality. South African Statist. J. 6 135-149.
    • (1972) South African Statist. J. , vol.6 , pp. 135-149
    • De Wet, T.1    Venter, J.2
  • 11
    • 0001484973 scopus 로고
    • Asymptotic distribution of the Shapiro-Wilk W for testing for normality
    • LESLIE, J. R., STEPHENS, M. A. and FOTOPOULOS, S. (1986). Asymptotic distribution of the Shapiro-Wilk W for testing for normality. Ann. Statist. 14 1497-1506.
    • (1986) Ann. Statist. , vol.14 , pp. 1497-1506
    • Leslie, J.R.1    Stephens, M.A.2    Fotopoulos, S.3
  • 12
    • 0346369874 scopus 로고    scopus 로고
    • The probability plot: Tests of fit based on the correlation coefficient
    • N. Balakrishnan and C.R. Rao, eds. North-Holland, Amsterdam
    • LOCKHART, R. A. and STEPHENS, M. A. (1998).The probability plot: tests of fit based on the correlation coefficient. In Handbook of Statistics 17: Order Statistics: Applications (N. Balakrishnan and C.R. Rao, eds.) 453-473. North-Holland, Amsterdam.
    • (1998) Handbook of Statistics 17: Order Statistics: Applications , pp. 453-473
    • Lockhart, R.A.1    Stephens, M.A.2
  • 13
    • 0000062208 scopus 로고    scopus 로고
    • Nonparametric validation of similar distributions and assesment of goodness of fit
    • MUNK, A. and CZADO, C. (1998). Nonparametric validation of similar distributions and assesment of goodness of fit. J. Roy. Statist. Soc. Ser. B 60 223-241.
    • (1998) J. Roy. Statist. Soc. Ser. B , vol.60 , pp. 223-241
    • Munk, A.1    Czado, C.2
  • 14
    • 0000898845 scopus 로고
    • An analysis of variance test for normality
    • SHAPIRO, S. and WILK, M. (1965). An analysis of variance test for normality (complete samples). Biometrika 52 591-611.
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.1    Wilk, M.2
  • 15
    • 0000519109 scopus 로고
    • The asymptotic equivalence of some modified Shapiro-Wilk statistics. Complete and censored sample cases
    • VERRILL, S. and JOHNSON, R. (1987). The asymptotic equivalence of some modified Shapiro-Wilk statistics. Complete and censored sample cases. Ann. Statist. 15 413-419.
    • (1987) Ann. Statist. , vol.15 , pp. 413-419
    • Verrill, S.1    Johnson, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.