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Volumn 52, Issue 2, 2000, Pages 267-286

Goodness-of-fit tests for the Cauchy distribution based on the empirical characteristic function

Author keywords

Cauchy distribution; Empirical characteristic function; Goodness of fit test; Kernel transformed empirical process; Stable distribution; Uniformly most powerful invariant test

Indexed keywords


EID: 6744262251     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004113805623     Document Type: Article
Times cited : (50)

References (25)
  • 1
    • 0000791410 scopus 로고
    • A class of consistent tests for exponentiality based on the empirical Laplace transform
    • Baringhaus, L. and Henze, N. (1991). A class of consistent tests for exponentiality based on the empirical Laplace transform, Ann. Inst. Statist. Math., 43, 551-564.
    • (1991) Ann. Inst. Statist. Math. , vol.43 , pp. 551-564
    • Baringhaus, L.1    Henze, N.2
  • 3
    • 0001186722 scopus 로고
    • Approximations of the empirical process when parameters are estimated
    • Burke, M., Csörgo, M., Csörgo, S. and Révész, P. (1978). Approximations of the empirical process when parameters are estimated, Ann. Probab., 7(5), 790-810.
    • (1978) Ann. Probab. , vol.7 , Issue.5 , pp. 790-810
    • Burke, M.1    Csörgo, M.2    Csörgo, S.3    Révész, P.4
  • 4
    • 0002530923 scopus 로고
    • Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation
    • Chernoff, H., Gastwirth, J. and Johns, M. (1967). Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation, Ann. Math. Statist., 38, 52-72.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 52-72
    • Chernoff, H.1    Gastwirth, J.2    Johns, M.3
  • 5
    • 0041837890 scopus 로고
    • The empirical characteristic process when parameters are estimated
    • (eds. J. Gani and V. Rohatgi), Academic Press, New York
    • Csörgo, S. (1981). The empirical characteristic process when parameters are estimated, Contributions to probability (eds. J. Gani and V. Rohatgi), 215-230, Academic Press, New York.
    • (1981) Contributions to Probability , pp. 215-230
    • Csörgo, S.1
  • 6
    • 0039398363 scopus 로고
    • Kernel-transformed empirical processes
    • Csörgo, S. (1983). Kernel-transformed empirical processes, J. Multivariate. Anal., 13, 517-533.
    • (1983) J. Multivariate. Anal. , vol.13 , pp. 517-533
    • Csörgo, S.1
  • 8
    • 0001467992 scopus 로고
    • Weak convergence of the sample distribution function when parameters are estimated
    • Durbin, J. (1973). Weak convergence of the sample distribution function when parameters are estimated, Ann. Statist., 1(2), 279-290.
    • (1973) Ann. Statist. , vol.1 , Issue.2 , pp. 279-290
    • Durbin, J.1
  • 9
    • 0001623560 scopus 로고
    • A test for normality based on the empirical characteristic function
    • Epps, T. and Pulley, L. (1983). A test for normality based on the empirical characteristic function, Biometrika, 70(3), 723-726.
    • (1983) Biometrika , vol.70 , Issue.3 , pp. 723-726
    • Epps, T.1    Pulley, L.2
  • 10
    • 0011333970 scopus 로고
    • A test of exponentiality vs. monotone-hazard alternatives derived from the empirical characteristic function
    • Epps, T. and Pulley, L. (1986). A test of exponentiality vs. monotone-hazard alternatives derived from the empirical characteristic function, J. Roy. Statist. Soc. Ser. B, 48(2), 206-213.
    • (1986) J. Roy. Statist. Soc. Ser. B , vol.48 , Issue.2 , pp. 206-213
    • Epps, T.1    Pulley, L.2
  • 11
    • 0038594243 scopus 로고
    • The most powerful invariant test of normal versus Cauchy with applications to stable alternatives
    • Franck, W. (1981). The most powerful invariant test of normal versus Cauchy with applications to stable alternatives, J. Amer. Statist. Assoc., 76(376), 1002-1005.
    • (1981) J. Amer. Statist. Assoc. , vol.76 , Issue.376 , pp. 1002-1005
    • Franck, W.1
  • 13
    • 84949385109 scopus 로고
    • A new flexible class of omnibus tests for exponentiality
    • Henze, N. (1993). A new flexible class of omnibus tests for exponentiality, Comm. Statist. Theory Methods., 22, 115-133.
    • (1993) Comm. Statist. Theory Methods. , vol.22 , pp. 115-133
    • Henze, N.1
  • 14
    • 0031572681 scopus 로고    scopus 로고
    • Extreme smoothing and testing for multivariate normality
    • Henze, N. (1997). Extreme smoothing and testing for multivariate normality, Statist. Probab. Lett., 35, 203-213.
    • (1997) Statist. Probab. Lett. , vol.35 , pp. 203-213
    • Henze, N.1
  • 15
    • 0031185197 scopus 로고    scopus 로고
    • A new approach to the BHEP tests for multivariate normality
    • Henze, N. and Wagner, T. (1997). A new approach to the BHEP tests for multivariate normality, J. Multivariate Anal., 62(1), 1-23.
    • (1997) J. Multivariate Anal. , vol.62 , Issue.1 , pp. 1-23
    • Henze, N.1    Wagner, T.2
  • 16
    • 0000708450 scopus 로고
    • A class of invariant consistent tests for multivariate normality
    • Henze, N. and Zirkler, B. (1990). A class of invariant consistent tests for multivariate normality, Comm. Statist. Theory Methods., 19(10), 3595-3617.
    • (1990) Comm. Statist. Theory Methods. , vol.19 , Issue.10 , pp. 3595-3617
    • Henze, N.1    Zirkler, B.2
  • 20
    • 0000411204 scopus 로고
    • An approximation of partial sums of independent rv's, and the sample df
    • Komlós, J., Major, P. and Tusnády, G. (1975). An approximation of partial sums of independent rv's, and the sample df. Z. W. theorie Verw. Geb., 32, 111-131.
    • (1975) Z. W. Theorie Verw. Geb. , vol.32 , pp. 111-131
    • Komlós, J.1    Major, P.2    Tusnády, G.3
  • 23
    • 0041337253 scopus 로고
    • Tests of fit for the Cauchy distribution based on the empirical distribution function
    • Department of Statistics, Stanford, California
    • Stephens, M. (1991). Tests of fit for the Cauchy distribution based on the empirical distribution function, Teck. Report, No. 449, Department of Statistics, Stanford, California.
    • (1991) Teck. Report , vol.449
    • Stephens, M.1
  • 24
    • 85041975578 scopus 로고
    • Studies in the history of probability and statistics. XXXIII. Cauchy and the witch of Agnesi: An historical note on the Cauchy distribution
    • Stigler, S. (1974). Studies in the history of probability and statistics. XXXIII. Cauchy and the witch of Agnesi: An historical note on the Cauchy distribution, Biometrika, 61, 375-379.
    • (1974) Biometrika , vol.61 , pp. 375-379
    • Stigler, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.