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Volumn 47, Issue 2, 2000, Pages 165-169

A simple expression for the multivariate Hermite polynomials

Author keywords

Edgeworth expansions; Hermite polynomials; Multivariate

Indexed keywords


EID: 0011756190     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(99)00153-4     Document Type: Article
Times cited : (81)

References (10)
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    • 84980073665 scopus 로고
    • Note on N -dimensional Hermite polynomials
    • Grad H. Note on. N -dimensional Hermite polynomials Commun. Pure Appl. Math. 3:1949;325-330.
    • (1949) Commun. Pure Appl. Math. , vol.3 , pp. 325-330
    • Grad, H.1
  • 6
    • 0007288109 scopus 로고
    • On multivariate Edgeworth expansions
    • Skovgaard I.M. On multivariate Edgeworth expansions. Int. Statist. Rev. 54:1986;169-186.
    • (1986) Int. Statist. Rev. , vol.54 , pp. 169-186
    • Skovgaard, I.M.1
  • 7
    • 0003353238 scopus 로고
    • Some results on univariate and multivariate Cornish-Fisher expansions: Algebraic properties and validity
    • Takemura A., Takeuchi K. Some results on univariate and multivariate Cornish-Fisher expansions: algebraic properties and validity. Sankhya Ser. A. 50:1988;111-136.
    • (1988) Sankhya Ser. a , vol.50 , pp. 111-136
    • Takemura, A.1    Takeuchi, K.2
  • 8
    • 0042306734 scopus 로고
    • Asymptotic expansions for distributions and quantiles with power series cumulants
    • Withers C.S. Asymptotic expansions for distributions and quantiles with power series cumulants. J. Roy. Statist. Soc. B. 46:1984a;389-396.
    • (1984) J. Roy. Statist. Soc. B , vol.46 , pp. 389-396
    • Withers, C.S.1
  • 9
    • 84971173382 scopus 로고
    • A chain rule for differentiation with applications to multivariate Hermite polynomials
    • Withers C.S. A chain rule for differentiation with applications to multivariate Hermite polynomials. Bull. Austral. Math. Soc. 30:1984b;247-250.
    • (1984) Bull. Austral. Math. Soc. , vol.30 , pp. 247-250
    • Withers, C.S.1
  • 10
    • 84971166570 scopus 로고
    • The moments of the multivariate normal
    • Withers C.S. The moments of the multivariate normal. Bull. Austral. Math. Soc. 32:1985;103-108.
    • (1985) Bull. Austral. Math. Soc. , vol.32 , pp. 103-108
    • Withers, C.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.