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Volumn 28, Issue 3, 2000, Pages 1371-1383

An independence property for the product of GIG and gamma laws

Author keywords

Generalized inverse Gaussian distributions; Matsumoto Yor property; Wishart distributions

Indexed keywords


EID: 0034214589     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1019160339     Document Type: Article
Times cited : (55)

References (12)
  • 1
    • 0002039370 scopus 로고
    • Random continued fractions and inverse Gaussian distribution on a symmetric cone
    • BERNADAC, E. (1995). Random continued fractions and inverse Gaussian distribution on a symmetric cone. J. Theoret. Probab. 8 221-260.
    • (1995) J. Theoret. Probab. , vol.8 , pp. 221-260
    • Bernadac, E.1
  • 2
    • 0032360547 scopus 로고    scopus 로고
    • Generalized inverse Gaussian distributions and their Wishart connexions
    • BUTLER, R. W. (1998). Generalized inverse Gaussian distributions and their Wishart connexions. Scand. J. Statist. 25 69-75.
    • (1998) Scand. J. Statist. , vol.25 , pp. 69-75
    • Butler, R.W.1
  • 3
    • 0030523218 scopus 로고    scopus 로고
    • The Lukacs-Olkin - Rubin characterization of the Wishart distributions on the symmetric cones
    • CASALIS, M. and LETAC, G. (1996). The Lukacs-Olkin - Rubin characterization of the Wishart distributions on the symmetric cones. Ann. Statist. 24 763-784.
    • (1996) Ann. Statist. , vol.24 , pp. 763-784
    • Casalis, M.1    Letac, G.2
  • 5
    • 0000202526 scopus 로고
    • Bessel functions of matrix argument
    • HERZ, C. S. (1955). Bessel functions of matrix argument. Ann. of Math. 61 474-523.
    • (1955) Ann. of Math. , vol.61 , pp. 474-523
    • Herz, C.S.1
  • 6
    • 0032344430 scopus 로고    scopus 로고
    • Quadratic and inverse regressions for Wishart distributions
    • LETAC, G. and MASSAM, H. (1998). Quadratic and inverse regressions for Wishart distributions. Ann. Statist. 26 573-595.
    • (1998) Ann. Statist. , vol.26 , pp. 573-595
    • Letac, G.1    Massam, H.2
  • 7
    • 0000059373 scopus 로고
    • A characterization of the generalized inverse Gaussian distribution by continued fractions
    • LETAC, G. and SESHADRI, V. (1983). A characterization of the generalized inverse Gaussian distribution by continued fractions. Z. Wahrsch. Verw. Gebiete 62 485-489.
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.62 , pp. 485-489
    • Letac, G.1    Seshadri, V.2
  • 8
    • 0001504520 scopus 로고
    • A characterization of the gamma distribution
    • LUKACS, E. (1955). A characterization of the gamma distribution. Ann. Math. Statist. 26 319-324.
    • (1955) Ann. Math. Statist. , vol.26 , pp. 319-324
    • Lukacs, E.1
  • 9
    • 21344476836 scopus 로고
    • An exact decomposition theorem and a unified view of some related distributions for a class of exponential transformation models on symmetric cones
    • MASSAM, H. (1994). An exact decomposition theorem and a unified view of some related distributions for a class of exponential transformation models on symmetric cones. Ann. Statist. 22 369-394.
    • (1994) Ann. Statist. , vol.22 , pp. 369-394
    • Massam, H.1
  • 10
    • 0002158568 scopus 로고    scopus 로고
    • An analogue of Pitman's 2M - X theorem for exponential Wiener functional, part II: The role of the generalized inverse Gaussian laws
    • To appear
    • MATSUMOTO, H. and YOR, M. (1998). An analogue of Pitman's 2M - X theorem for exponential Wiener functional, Part II: the role of the generalized inverse Gaussian laws. Nagoya Math. J. To appear.
    • (1998) Nagoya Math. J.
    • Matsumoto, H.1    Yor, M.2
  • 12
    • 0000389050 scopus 로고
    • A characterization of the Wishart distribution
    • OLKIN, I. and RUBIN, H. (1962). A characterization of the Wishart distribution. Ann. Math. Statist. 33 1272-1280.
    • (1962) Ann. Math. Statist. , vol.33 , pp. 1272-1280
    • Olkin, I.1    Rubin, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.