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Volumn 52, Issue 1, 2000, Pages 1-14

Some geometry of the cone of nonnegative definite matrices and weights of associated X̄2 distribution

Author keywords

Mixed volume; One sided test for covariance matrices; Second fundamental form; Symmetric cone; Volume element

Indexed keywords


EID: 6744265278     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004191713375     Document Type: Article
Times cited : (8)

References (14)
  • 2
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    • (1993) Ann. Statist. , vol.21 , pp. 1379-1384
    • Kuriki, S.1
  • 3
    • 0031116557 scopus 로고    scopus 로고
    • Projections on cones, chi-bar squared distributions, and Weyl's formula
    • Lin, Y. and Lindsay, B. G. (1997). Projections on cones, chi-bar squared distributions, and Weyl's formula, Statist. Probab. Lett., 32, 367-376.
    • (1997) Statist. Probab. Lett. , vol.32 , pp. 367-376
    • Lin, Y.1    Lindsay, B.G.2
  • 6
    • 0030508084 scopus 로고    scopus 로고
    • Dualistic differential geometry of positive definite matrices and its applications to related problems
    • Ohara, A., Suda, N. and Amari, S. (1996). Dualistic differential geometry of positive definite matrices and its applications to related problems, Linear Algebra Appl., 247, 31-53.
    • (1996) Linear Algebra Appl. , vol.247 , pp. 31-53
    • Ohara, A.1    Suda, N.2    Amari, S.3
  • 8
    • 0346841392 scopus 로고
    • Likelihood ratio test for one-sided hypothesis of covariance matrices of two normal populations
    • Sakata, T. (1987). Likelihood ratio test for one-sided hypothesis of covariance matrices of two normal populations, Commun. Statist. Theory Methods, 16, 3157-3168.
    • (1987) Commun. Statist. Theory Methods , vol.16 , pp. 3157-3168
    • Sakata, T.1
  • 10
    • 0002710991 scopus 로고
    • Towards a unified theory of inequality constrained testing in multivariate analysis
    • Shapiro, A. (1988). Towards a unified theory of inequality constrained testing in multivariate analysis, International Statistical Review, 56, 49-62.
    • (1988) International Statistical Review , vol.56 , pp. 49-62
    • Shapiro, A.1
  • 11
    • 0031318748 scopus 로고    scopus 로고
    • 2 distribution for smooth or piecewise smooth cone alternatives
    • 2 distribution for smooth or piecewise smooth cone alternatives, Ann. Statist., 25, 2368-2387.
    • (1997) Ann. Statist. , vol.25 , pp. 2368-2387
    • Takemura, A.1    Kuriki, S.2
  • 12
    • 21344476194 scopus 로고
    • On singular Wishart and singular multivariate beta distributions
    • Uhlig, H. (1994). On singular Wishart and singular multivariate beta distributions, Ann. Statist., 22, 395-405.
    • (1994) Ann. Statist. , vol.22 , pp. 395-405
    • Uhlig, H.1
  • 13
    • 0004145937 scopus 로고
    • Oxford University Press, Oxford
    • Webster, R. (1994). Convexity, Oxford University Press, Oxford.
    • (1994) Convexity
    • Webster, R.1
  • 14
    • 0000045032 scopus 로고
    • On the volume of tubes
    • Weyl, H. (1939). On the volume of tubes, Amer. J. Math., 61, 461-472.
    • (1939) Amer. J. Math. , vol.61 , pp. 461-472
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.