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Volumn 68, Issue 1, 1999, Pages 26-53

Data Driven Smooth Tests for Bivariate Normality

Author keywords

Goodness of fit; Monte Carlo simulations; Neyman's test; Schwarz's BIC criterion; Score test; Smooth test; Tests of bivariate normality

Indexed keywords


EID: 0003065638     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1998.1779     Document Type: Article
Times cited : (19)

References (43)
  • 2
    • 21844509253 scopus 로고
    • Data driven versions of Pearson's chi-square test for uniformity
    • Bogdan M. Data driven versions of Pearson's chi-square test for uniformity. J. Statist. Comput. Simulation. 52:1995;217-237.
    • (1995) J. Statist. Comput. Simulation , vol.52 , pp. 217-237
    • Bogdan, M.1
  • 4
    • 21144470310 scopus 로고
    • Adaptive smoothing and density-based tests of multivariate normality
    • Bowman A. W., Foster P. J. Adaptive smoothing and density-based tests of multivariate normality. J. Amer. Statist. Assoc. 88:1993;529-537.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 529-537
    • Bowman, A.W.1    Foster, P.J.2
  • 5
    • 0017892070 scopus 로고
    • Testing multivariate normality
    • Cox D. R., Small N. J. H. Testing multivariate normality. Biometrika. 65:1978;263-272.
    • (1978) Biometrika , vol.65 , pp. 263-272
    • Cox, D.R.1    Small, N.J.H.2
  • 6
    • 21344487864 scopus 로고
    • Tests of linearity, multivariate normality and the adequacy of linear scores
    • Cox D. R., Wermuth N. Tests of linearity, multivariate normality and the adequacy of linear scores. Appl. Statist. 43:1994;347-355.
    • (1994) Appl. Statist. , vol.43 , pp. 347-355
    • Cox, D.R.1    Wermuth, N.2
  • 7
    • 0000415646 scopus 로고
    • Testing for normality in arbitrary dimension
    • Csörgo S. Testing for normality in arbitrary dimension. Ann. Statist. 14:1986;708-723.
    • (1986) Ann. Statist. , vol.14 , pp. 708-723
    • Csörgo, S.1
  • 8
    • 0002691557 scopus 로고
    • Tests for the normal distribution
    • R. B. D. D'Agostino, & M. A. Stephens. Goodness-of-Fit Techniques. New York: Dekker
    • D'Agostino R. B. Tests for the normal distribution. D'Agostino R. B. D., Stephens M. A. Goodness-of-Fit Techniques. Statistics: Textbook and Monographs. 68:1986;Dekker, New York.
    • (1986) Statistics: Textbook and Monographs , vol.68
    • D'Agostino, R.B.1
  • 9
    • 0000559570 scopus 로고
    • Testing goodness of fit via nonparametric function estimation techniques
    • Eubank R. L., Hart J. D., LaRiccia V. N. Testing goodness of fit via nonparametric function estimation techniques. Comm. Statist. Theory Methods. 22:1993;3327-3354.
    • (1993) Comm. Statist. Theory Methods , vol.22 , pp. 3327-3354
    • Eubank, R.L.1    Hart, J.D.2    Lariccia, V.N.3
  • 10
    • 21144481988 scopus 로고
    • Asymptotic comparison of Cramér von Mises and nonparametric function estimation techniques for testing goodness of fit
    • Eubank R. L., LaRiccia V. N. Asymptotic comparison of Cramér von Mises and nonparametric function estimation techniques for testing goodness of fit. Ann. Statist. 20:1992;2071-2086.
    • (1992) Ann. Statist. , vol.20 , pp. 2071-2086
    • Eubank, R.L.1    Lariccia, V.N.2
  • 11
    • 0030549054 scopus 로고
    • Tests of significance based on wavelet thresholding and Neyman's truncation
    • Fan J. Tests of significance based on wavelet thresholding and Neyman's truncation. J. Amer. Statist. Assoc. 91:1995;647-688.
    • (1995) J. Amer. Statist. Assoc. , vol.91 , pp. 647-688
    • Fan, J.1
  • 12
    • 0001388044 scopus 로고
    • A scale-free goodness-of-fit test for the exponential distribution based on the Gini statistic
    • Gail M. H., Gastwirth J. L. A scale-free goodness-of-fit test for the exponential distribution based on the Gini statistic. J. Roy. Statist. Soc. Ser B. 40:1978;350-357.
    • (1978) J. Roy. Statist. Soc. Ser B , vol.40 , pp. 350-357
    • Gail, M.H.1    Gastwirth, J.L.2
  • 14
    • 0001131777 scopus 로고
    • Expected values of normal order statistics
    • Harter H. L. Expected values of normal order statistics. Biometrika. 48:1961;151-165.
    • (1961) Biometrika , vol.48 , pp. 151-165
    • Harter, H.L.1
  • 15
    • 0007224094 scopus 로고
    • Power approximations to and power comparison of certain goodness-of-fit tests
    • Inglot T., Kallenberg W. C. M., Ledwina T. Power approximations to and power comparison of certain goodness-of-fit tests. Scand. J. Statist. 21:1994;131-145.
    • (1994) Scand. J. Statist. , vol.21 , pp. 131-145
    • Inglot, T.1    Kallenberg, W.C.M.2    Ledwina, T.3
  • 16
    • 0031490137 scopus 로고    scopus 로고
    • Data driven smooth tests for composite hypotheses
    • Inglot T., Kallenberg W. C. M., Ledwina T. Data driven smooth tests for composite hypotheses. Ann. Statist. 25:1997;1222-1250.
    • (1997) Ann. Statist. , vol.25 , pp. 1222-1250
    • Inglot, T.1    Kallenberg, W.C.M.2    Ledwina, T.3
  • 18
    • 0030363428 scopus 로고    scopus 로고
    • Asymptotic optimality of data driven Neyman's tests
    • Inglot T., Ledwina T. Asymptotic optimality of data driven Neyman's tests. Ann. Statist. 24:1996;1982-2019.
    • (1996) Ann. Statist. , vol.24 , pp. 1982-2019
    • Inglot, T.1    Ledwina, T.2
  • 20
    • 21344467605 scopus 로고
    • Consistency and Monte Carlo simulation of a data driven version of smooth goodness-of-fit tests
    • Kallenberg W. C. M., Ledwina T. Consistency and Monte Carlo simulation of a data driven version of smooth goodness-of-fit tests. Ann. Statist. 23:1995;1594-1608.
    • (1995) Ann. Statist. , vol.23 , pp. 1594-1608
    • Kallenberg, W.C.M.1    Ledwina, T.2
  • 22
    • 21744458278 scopus 로고    scopus 로고
    • Data driven smooth test when the hypothesis is composite
    • Kallenberg W. C. M., Ledwina T. Data driven smooth test when the hypothesis is composite. J. Amer. Statist. Assoc. 1997;1094-1104.
    • (1997) J. Amer. Statist. Assoc. , pp. 1094-1104
    • Kallenberg, W.C.M.1    Ledwina, T.2
  • 23
    • 0000527921 scopus 로고    scopus 로고
    • Data driven smooth tests for composite hypothesis: Comparison of powers
    • Kallenberg W. C. M., Ledwina T. Data driven smooth tests for composite hypothesis: Comparison of powers. J. Statist. Comput. Simulation. 1997;101-121.
    • (1997) J. Statist. Comput. Simulation , pp. 101-121
    • Kallenberg, W.C.M.1    Ledwina, T.2
  • 25
    • 0000182707 scopus 로고
    • A class of invariant procedures for assessing multivariate normality
    • Koziol J. A. A class of invariant procedures for assessing multivariate normality. Biometrika. 69:1982;423-427.
    • (1982) Biometrika , vol.69 , pp. 423-427
    • Koziol, J.A.1
  • 26
    • 0012941103 scopus 로고
    • On assessing multivariate normality
    • Koziol J. A. On assessing multivariate normality. J. Roy. Statist. Soc. Ser. B. 45:1983;358-361.
    • (1983) J. Roy. Statist. Soc. Ser. B , vol.45 , pp. 358-361
    • Koziol, J.A.1
  • 27
    • 0001577997 scopus 로고
    • Assessing multivariate normality: A compendium
    • Koziol J. A. Assessing multivariate normality: A compendium. Comm. Statist. Theory Methods. 15:1986;2763-2783.
    • (1986) Comm. Statist. Theory Methods , vol.15 , pp. 2763-2783
    • Koziol, J.A.1
  • 28
    • 0001908967 scopus 로고
    • An alternative formulation of Neyman's smooth goodness of fit tests under composite alternatives
    • Koziol J. A. An alternative formulation of Neyman's smooth goodness of fit tests under composite alternatives. Metrika. 34:1987;17-24.
    • (1987) Metrika , vol.34 , pp. 17-24
    • Koziol, J.A.1
  • 29
    • 21844521889 scopus 로고
    • Data driven version of Neyman's smooth test of fit
    • Ledwina T. Data driven version of Neyman's smooth test of fit. J. Amer. Statist. Assoc. 89:1994;1000-1005.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1000-1005
    • Ledwina, T.1
  • 31
    • 2942611661 scopus 로고
    • Measures of multivariate skewness and kurtosis with applications
    • Mardia K. V. Measures of multivariate skewness and kurtosis with applications. Biometrika. 57:1970;519-530.
    • (1970) Biometrika , vol.57 , pp. 519-530
    • Mardia, K.V.1
  • 32
    • 0000904196 scopus 로고
    • Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies
    • Mardia K. V. Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies. Sankhyā Ser. B. 36:1974;115-128.
    • (1974) Sankhyā Ser. B , vol.36 , pp. 115-128
    • Mardia, K.V.1
  • 33
    • 70350340104 scopus 로고
    • Tests of univariate and multivariate normality
    • P. R. Krishnaiah. Amsterdam: North-Holland
    • Mardia K. V. Tests of univariate and multivariate normality. Krishnaiah P. R. Handbook of Statistics 1. Analysis of Variance. 1980;279-320 North-Holland, Amsterdam.
    • (1980) Handbook of Statistics 1. Analysis of Variance , pp. 279-320
    • Mardia, K.V.1
  • 34
    • 84945593245 scopus 로고
    • "smooth test" for goodness of fit
    • Neyman J. "Smooth test" for goodness of fit. Skand. Aktuarietidskr. 20:1937;149-199.
    • (1937) Skand. Aktuarietidskr. , vol.20 , pp. 149-199
    • Neyman, J.1
  • 36
    • 0009990226 scopus 로고
    • Probabilities of moderate deviations
    • Rubin H., Sethuraman J. Probabilities of moderate deviations. Sankhyā Ser. A. 27:1965;325-346.
    • (1965) Sankhyā Ser. A , vol.27 , pp. 325-346
    • Rubin, H.1    Sethuraman, J.2
  • 37
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz G. Estimating the dimension of a model. Ann. Statist. 6:1978;461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 38
    • 84950652331 scopus 로고
    • An approximate analysis of variance test for normality
    • Shapiro S. S., Francia R. S. An approximate analysis of variance test for normality. J. Amer. Statist. Assoc. 67:1972;215-216.
    • (1972) J. Amer. Statist. Assoc. , vol.67 , pp. 215-216
    • Shapiro, S.S.1    Francia, R.S.2
  • 39
    • 0000898845 scopus 로고
    • An analysis of variance test for normality (complete samples)
    • Shapiro S. S., Wilk M. B. An analysis of variance test for normality (complete samples). Biometrika. 52:1965;591-611.
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.S.1    Wilk, M.B.2
  • 40
    • 0010914214 scopus 로고
    • Marginal skewness and kurtosis in testing multivariate normality
    • Small N. J. H. Marginal skewness and kurtosis in testing multivariate normality. Appl. Statist. 29:1980;85-87.
    • (1980) Appl. Statist. , vol.29 , pp. 85-87
    • Small, N.J.H.1
  • 41
    • 0042841351 scopus 로고
    • On invariant tests for multidimensional normality
    • Szkutnik Z. On invariant tests for multidimensional normality. Probab. Math. Statist. 8:1987;1-10.
    • (1987) Probab. Math. Statist. , vol.8 , pp. 1-10
    • Szkutnik, Z.1
  • 42
    • 84948539689 scopus 로고
    • Neyman's smooth goodness-of-fit test when the hypothesis is composite
    • Thomas D. R., Pierce D. A. Neyman's smooth goodness-of-fit test when the hypothesis is composite. J. Amer. Statist. Assoc. 74:1979;441-445.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 441-445
    • Thomas, D.R.1    Pierce, D.A.2
  • 43
    • 0001023081 scopus 로고    scopus 로고
    • Comparison of tests for bivariate normality with unknown parameters by transformation to an univariate statistic
    • Versluis C. Comparison of tests for bivariate normality with unknown parameters by transformation to an univariate statistic. Comm. Statist. Theory Methods. 25:1996;647-665.
    • (1996) Comm. Statist. Theory Methods , vol.25 , pp. 647-665
    • Versluis, C.1


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