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Volumn 28, Issue 3-4, 1999, Pages 519-536

Tests for multinormality with applications to time series

Author keywords

Bispectrum test; Gaussianity; Hermitian polynomial; Kurtosis; Skewness; Test for multivariate normality

Indexed keywords


EID: 0013025398     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929908832312     Document Type: Article
Times cited : (3)

References (35)
  • 1
    • 0001701886 scopus 로고
    • F-probability plot and its application to multivariate normality
    • Ahn, S.K. (1992). F-probability plot and its application to multivariate normality. Commun. Statist. A-Theor. Meth., 31, 997-1023.
    • (1992) Commun. Statist. A-Theor. Meth. , vol.31 , pp. 997-1023
    • Ahn, S.K.1
  • 2
    • 0002972259 scopus 로고
    • Methods for assessing multivariate normality
    • ed. P.K. Krishnaiah, Academic Press: New York
    • Andrews, D. F., Gnanadesikan, R. and Warner, J. L. (1973). Methods for assessing multivariate normality in Multivariate Analysis, ed. P.K. Krishnaiah, 95-116. Academic Press: New York.
    • (1973) Multivariate Analysis , pp. 95-116
    • Andrews, D.F.1    Gnanadesikan, R.2    Warner, J.L.3
  • 3
    • 0000903755 scopus 로고
    • A consistent test for multivariate normality based on the empirical characteristic function
    • Baringhaus, L. and Henze, N. (1988). A consistent test for multivariate normality based on the empirical characteristic function. Metrika, 35, 339-348.
    • (1988) Metrika , vol.35 , pp. 339-348
    • Baringhaus, L.1    Henze, N.2
  • 4
    • 21144466927 scopus 로고
    • Limit distributions for Mardia's measure of multivariate skewness
    • Baringhaus, L. and Henze, N. (1992). Limit distributions for Mardia's measure of multivariate skewness. Annals of Statistics, 20, 1989-2002.
    • (1992) Annals of Statistics , vol.20 , pp. 1989-2002
    • Baringhaus, L.1    Henze, N.2
  • 6
    • 21144470310 scopus 로고
    • Adaptive smoothing and density-based tests of multivariate normality
    • Bowman, A.W. and Foster, P.J. (1993). Adaptive smoothing and density-based tests of multivariate normality. J. of Amer. Statist. Assoc., 88, 529-537.
    • (1993) J. of Amer. Statist. Assoc. , vol.88 , pp. 529-537
    • Bowman, A.W.1    Foster, P.J.2
  • 7
    • 0017892070 scopus 로고
    • Testing multivariate normality
    • Cox, D. R. and Small, N. J. H. (1978). Testing multivariate normality. Biometrika, 65, 263-272.
    • (1978) Biometrika , vol.65 , pp. 263-272
    • Cox, D.R.1    Small, N.J.H.2
  • 8
    • 0000415646 scopus 로고
    • Testing for normality in arbitrary dimension
    • Csörgö, S. (1986). Testing for normality in arbitrary dimension. Annals of Statistics, 14, 708-723.
    • (1986) Annals of Statistics , vol.14 , pp. 708-723
    • Csörgö, S.1
  • 9
    • 0000485584 scopus 로고
    • Consistency of some tests for multivariate normality
    • Csörgö, S. (1989). Consistency of some tests for multivariate normality. Metrika, 36, 107-116.
    • (1989) Metrika , vol.36 , pp. 107-116
    • Csörgö, S.1
  • 10
    • 0001009435 scopus 로고
    • Testing that a stationary time series is Gaussian
    • Epps, T.W. (1987). Testing that a stationary time series is Gaussian. Annals of Statistics, 15, 1683-1698.
    • (1987) Annals of Statistics , vol.15 , pp. 1683-1698
    • Epps, T.W.1
  • 11
    • 0001623560 scopus 로고
    • A test for normality based on the empirical characteristic function
    • Epps, T.W. and Pulley, L.B. (1983). A test for normality based on the empirical characteristic function. Biometrika, 70, 723-726.
    • (1983) Biometrika , vol.70 , pp. 723-726
    • Epps, T.W.1    Pulley, L.B.2
  • 13
    • 0000073309 scopus 로고
    • Multivariate normal plotting
    • Healy, M. J. R. (1968). Multivariate normal plotting. Appl. Statist., 17, 157-161.
    • (1968) Appl. Statist. , vol.17 , pp. 157-161
    • Healy, M.J.R.1
  • 14
    • 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. Commun. Statist. A-Theor. Meth., 19, 3595-3617.
    • (1990) Commun. Statist. A-Theor. Meth. , vol.19 , pp. 3595-3617
    • Henze, N.1    Zirkler, B.2
  • 15
    • 0000804306 scopus 로고
    • On Mardia's kurtosis test for multivariate normality
    • Henze, N. (1994). On Mardia's kurtosis test for multivariate normality. Commun. Statist. A-Theor. Meth., 23, 1031-1045.
    • (1994) Commun. Statist. A-Theor. Meth. , vol.23 , pp. 1031-1045
    • Henze, N.1
  • 16
    • 0031572681 scopus 로고    scopus 로고
    • Extreme smoothing and testing for multivariate normality
    • Henze, N. (1997). Extreme smoothing and testing for multivariate normality. Statist. & Prob. Letters, 35, 203-213.
    • (1997) Statist. & Prob. Letters , vol.35 , pp. 203-213
    • Henze, N.1
  • 17
    • 0031185197 scopus 로고    scopus 로고
    • A new approach to the BHEP tests for multivariate normality
    • Henze, N. and Wagner, Th. (1997). A new approach to the BHEP tests for multivariate normality. Journ. Multiv. Anal., 62, 1-23.
    • (1997) Journ. Multiv. Anal. , vol.62 , pp. 1-23
    • Henze, N.1    Wagner, Th.2
  • 18
    • 84986811814 scopus 로고
    • Testing for Gaussianity and linearity of a stationary time series
    • Hinich, M. J. (1982). Testing for Gaussianity and linearity of a stationary time series. J. Time Ser. Anal., 3, 169-176.
    • (1982) J. Time Ser. Anal. , vol.3 , pp. 169-176
    • Hinich, M.J.1
  • 19
    • 0002137108 scopus 로고
    • A comparison of tests for multivariate normality that are based on measure of multivariate skewness and kurtosis
    • Horswell, R.L. and Looney, St.W. (1992). A comparison of tests for multivariate normality that are based on measure of multivariate skewness and kurtosis. Journ. Statist. Comp. Simu., 42, 21-38.
    • (1992) Journ. Statist. Comp. Simu. , vol.42 , pp. 21-38
    • Horswell, R.L.1    Looney, S.W.2
  • 20
    • 26844463444 scopus 로고
    • Locally best invariant tests for multivariate normality
    • Statistics Research Center, University of Chicago
    • Kariya, T. and George, E. I. (1991). Locally best invariant tests for multivariate normality. Technical Report 103, Statistics Research Center, University of Chicago.
    • (1991) Technical Report 103
    • Kariya, T.1    George, E.I.2
  • 21
    • 0013038230 scopus 로고
    • Locally best invariant tests for multivariate normality
    • Kariya, T. and George, E. I. (1995). Locally best invariant tests for multivariate normality. Sankhya, 57, 440-451.
    • (1995) Sankhya , vol.57 , pp. 440-451
    • Kariya, T.1    George, E.I.2
  • 22
    • 26844533806 scopus 로고
    • Limiting behavior of functionals of the sample spectral distribution
    • Keenan, D. M. (1983). Limiting behavior of functionals of the sample spectral distribution. Annals of Statistics, 11, 1206-1217.
    • (1983) Annals of Statistics , vol.11 , pp. 1206-1217
    • Keenan, D.M.1
  • 24
    • 0000061805 scopus 로고
    • Probability plots for assessing multivariate normality
    • Koziol, J.A. (1993). Probability plots for assessing multivariate normality. The Statistician, 42, 161-173.
    • (1993) The Statistician , vol.42 , pp. 161-173
    • Koziol, J.A.1
  • 26
    • 2942611661 scopus 로고
    • Measures of multivariate skewness and kurtosis with applications
    • Mardia, K. V. (1970). Measures of multivariate skewness and kurtosis with applications. Biometrika, 57, 519-530.
    • (1970) Biometrika , vol.57 , pp. 519-530
    • Mardia, K.V.1
  • 30
    • 0000190321 scopus 로고    scopus 로고
    • On weighting the studentized empirical characteristic function for testing normality
    • Naito, K. (1996). On weighting the studentized empirical characteristic function for testing normality. Commun. Statist. A-Theor. Meth., 25, 201-213.
    • (1996) Commun. Statist. A-Theor. Meth. , vol.25 , pp. 201-213
    • Naito, K.1
  • 31
    • 27844523203 scopus 로고
    • A new method for assessing multivariate normality with graphical applications
    • Ozturk, A. and Romeu, J.L. (1992). A new method for assessing multivariate normality with graphical applications. Commun. Statist. A-Theor. Meth., 21, 15-34.
    • (1992) Commun. Statist. A-Theor. Meth. , vol.21 , pp. 15-34
    • Ozturk, A.1    Romeu, J.L.2
  • 32
    • 0002536134 scopus 로고
    • A comparative study of goodness-of-fit tests for multivariate normality
    • Romeu, J.L. and Ozturk, A. (1993) A comparative study of goodness-of-fit tests for multivariate normality. Journ. Multiv. Anal., 46, 309-334.
    • (1993) Journ. Multiv. Anal. , vol.46 , pp. 309-334
    • Romeu, J.L.1    Ozturk, A.2
  • 33
    • 84986811816 scopus 로고
    • A test for linearity of stationary time series
    • Subba Rao, T. and Gabr, M.M. (1980). A test for linearity of stationary time series. J. Time Ser. Anal., 1, 145-158.
    • (1980) J. Time Ser. Anal. , vol.1 , pp. 145-158
    • Subba Rao, T.1    Gabr, M.M.2
  • 34
    • 0001023081 scopus 로고    scopus 로고
    • Comparison of tests for bivariate normality with unknown parameters by transformation to an univariate statistic
    • Versluis, C. (1996). Comparison of tests for bivariate normality with unknown parameters by transformation to an univariate statistic. Commun. Statist. A-Theor. Meth., 25, 647-665.
    • (1996) Commun. Statist. A-Theor. Meth. , vol.25 , pp. 647-665
    • Versluis, C.1
  • 35
    • 0000494597 scopus 로고
    • A test for multivariate normality based on sample entropy and projection pursuit
    • Zhu, L., Wong, H.L. and Fang, K.T. (1995). A test for multivariate normality based on sample entropy and projection pursuit. Journ. Statist. Plann. Inf., 45, 373-385.
    • (1995) Journ. Statist. Plann. Inf. , vol.45 , pp. 373-385
    • Zhu, L.1    Wong, H.L.2    Fang, K.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.