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Volumn 59, Issue 3, 2007, Pages 499-513

Integral representations and approximations for multivariate gamma distributions

Author keywords

Approximation for positive definite matrices; M factorial matrices; Multivariate chi square distribution; Multivariate gamma distribution; Multivariate Rayleigh distribution

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; CORRELATION METHODS; INTEGRAL EQUATIONS; INVERSE PROBLEMS;

EID: 34548595367     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-006-0057-5     Document Type: Article
Times cited : (7)

References (15)
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  • 4
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    • Characterization of infinitely divisible multivariate gamma distributions
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  • 6
    • 0012806277 scopus 로고
    • A multivariate gamma type distribution
    • correction: ibid. (1960), 31, p. 229
    • Krishnamoorthy, A.S., Parthasarathy, M. (1951). A multivariate gamma type distribution. Annals of Mathematical Statistics, 22, 549-557 (correction: ibid. (1960), 31, p. 229).
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    • Krishnamoorthy, A.S.1    Parthasarathy, M.2
  • 9
    • 84963457610 scopus 로고
    • An approximation for multivariate normal probabilities of rectangular regions
    • Royen T. (1987). An approximation for multivariate normal probabilities of rectangular regions. Statistics 18, 389-400
    • (1987) Statistics , vol.18 , pp. 389-400
    • Royen, T.1
  • 10
    • 0011456743 scopus 로고
    • Multivariate gamma distributions with one-factorial accompanying correlation matrices and applications to the distribution of the multivariate range
    • Royen T. (1991a). Multivariate gamma distributions with one-factorial accompanying correlation matrices and applications to the distribution of the multivariate range. Metrika 38, 299-315
    • (1991) Metrika , vol.38 , pp. 299-315
    • Royen, T.1
  • 11
    • 0043097466 scopus 로고
    • Expansions for the multivariate chi-square distribution
    • Royen T. (1991b). Expansions for the multivariate chi-square distribution. Journal of Multivariate Analysis 38, 213-232
    • (1991) Journal of Multivariate Analysis , vol.38 , pp. 213-232
    • Royen, T.1
  • 12
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    • On some multivariate gamma distributions connected with spanning trees
    • Royen T. (1994). On some multivariate gamma distributions connected with spanning trees. Annals of the Institute of Statistical Mathematics 46, 361-371
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    • Royen, T.1
  • 13
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    • On some central and non-central multivariate chi-square distributions
    • Royen T. (1995). On some central and non-central multivariate chi-square distributions. Statistica Sinica 5, 373-397
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    • Royen, T.1
  • 14
    • 11344280471 scopus 로고    scopus 로고
    • Multivariate gamma distributions (update)
    • New York: Wiley
    • Royen, T. (1997). Multivariate gamma distributions (update). In Encyclopedia of statistical sciences, (Update Vol. 1, pp. 419-425). New York: Wiley.
    • (1997) Encyclopedia of Statistical Sciences, (Update) , vol.1 , pp. 419-425
    • Royen, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.