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Volumn 54, Issue 4, 2010, Pages 858-862

Computing the distribution of quadratic forms: Further comparisons between the Liu-Tang-Zhang approximation and exact methods

Author keywords

[No Author keywords available]

Indexed keywords

CHI-SQUARE DISTRIBUTION; COMPUTATIONAL STATISTICS; CUMULANTS; DATA ANALYSIS; DEGREES OF FREEDOM; EMPIRICAL EVIDENCE; EXACT METHODS; NUMERICAL EXAMPLE; QUADRATIC FORM;

EID: 73149087027     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2009.11.025     Document Type: Article
Times cited : (184)

References (17)
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    • Davies, R.B.1
  • 3
    • 73149094781 scopus 로고    scopus 로고
    • On diagnostic checking time series models with portmanteau test statistics based on generalized inverses and {2}-inverses
    • Duchesne P., and Francq C. On diagnostic checking time series models with portmanteau test statistics based on generalized inverses and {2}-inverses. COMPSTAT 2008, Proceedings in Computational Statistics (2008) 143-154
    • (2008) COMPSTAT 2008, Proceedings in Computational Statistics , pp. 143-154
    • Duchesne, P.1    Francq, C.2
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    • 0001507590 scopus 로고
    • Computing the distribution of quadratic forms in normal variables
    • Imhof J.P. Computing the distribution of quadratic forms in normal variables. Biometrika 48 (1961) 419-426
    • (1961) Biometrika , vol.48 , pp. 419-426
    • Imhof, J.P.1
  • 8
    • 0142057991 scopus 로고
    • Series representations of distributions of quadratic forms in normal variables II. Non-central case
    • Kotz S., Johnson N.L., and Boyd D.W. Series representations of distributions of quadratic forms in normal variables II. Non-central case. Annals of Mathematical Statistics 38 (1967) 838-848
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 838-848
    • Kotz, S.1    Johnson, N.L.2    Boyd, D.W.3
  • 9
    • 0344168195 scopus 로고    scopus 로고
    • Saddlepoint approximations for distributions of quadratic forms in normal variables
    • Kuonen D. Saddlepoint approximations for distributions of quadratic forms in normal variables. Biometrika 86 (1999) 929-935
    • (1999) Biometrika , vol.86 , pp. 929-935
    • Kuonen, D.1
  • 11
    • 58549103276 scopus 로고    scopus 로고
    • A new chi-square approximation to the distribution of non-negative definite quadratic forms in non-central normal variables
    • Liu H., Tang Y., and Zhang H.H. A new chi-square approximation to the distribution of non-negative definite quadratic forms in non-central normal variables. Computational Statistics & Data Analysis 53 (2009) 853-856
    • (2009) Computational Statistics & Data Analysis , vol.53 , pp. 853-856
    • Liu, H.1    Tang, Y.2    Zhang, H.H.3
  • 12
    • 0009953010 scopus 로고
    • Diagnostic testing of univariate time series models
    • Ljung G.M. Diagnostic testing of univariate time series models. Biometrika 73 (1986) 725-730
    • (1986) Biometrika , vol.73 , pp. 725-730
    • Ljung, G.M.1
  • 13
    • 0000685721 scopus 로고
    • Unified large-sample theory of general chi-squared statistics for tests of fit
    • Moore D.S., and Spruill M.C. Unified large-sample theory of general chi-squared statistics for tests of fit. The Annals of Statistics 3 (1975) 599-616
    • (1975) The Annals of Statistics , vol.3 , pp. 599-616
    • Moore, D.S.1    Spruill, M.C.2
  • 15
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    • Probability content of regions under spherical normal distributions. IV The distribution of homogeneous and non-homogeneous quadratic functions of normal variables
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    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 542-570
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  • 17
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    • A comparison of chi-square goodness-of-fit tests based on approximate Bahadur slope
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    • Spruill, M.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.