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Volumn 12, Issue 4, 1999, Pages 1045-1066

Additive Properties of the Dufresne Laws and Their Multivariate Extension

Author keywords

Markov chains; Stationary distribution; Symmetric cones

Indexed keywords


EID: 0042579630     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021649305082     Document Type: Article
Times cited : (19)

References (21)
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  • 2
    • 0042177572 scopus 로고
    • Transformation formulas for terminating Saalschützian hypergeometric series of unit argument
    • Burhing, W. (1995). Transformation formulas for terminating Saalschützian hypergeometric series of unit argument. J. Appl. Math. Stoch. Anal. 8, 189-194.
    • (1995) J. Appl. Math. Stoch. Anal. , vol.8 , pp. 189-194
    • Burhing, W.1
  • 3
    • 0030523218 scopus 로고    scopus 로고
    • The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones
    • Casalis, M., and Letac, G. (1996). The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones. Ann. Statist. 24, 763-786.
    • (1996) Ann. Statist. , vol.24 , pp. 763-786
    • Casalis, M.1    Letac, G.2
  • 4
    • 0002370188 scopus 로고
    • Explicit stationary distributions for compositions of random functions and products of random matrices
    • Chamayou, J.-F., and Letac, G. (1991). Explicit stationary distributions for compositions of random functions and products of random matrices. J. Theor. Prob. 4, 3-36.
    • (1991) J. Theor. Prob. , vol.4 , pp. 3-36
    • Chamayou, J.-F.1    Letac, G.2
  • 5
    • 0002284829 scopus 로고    scopus 로고
    • Iterated random functions
    • Diaconis, P., and Freedman, D. (1999). Iterated random functions. SIAM Review 41, 45-76.
    • (1999) SIAM Review , vol.41 , pp. 45-76
    • Diaconis, P.1    Freedman, D.2
  • 6
    • 0000120036 scopus 로고    scopus 로고
    • On the stochastic equation ℒ(X) = ℒ(B(X + C)) and a property of gamma distributions
    • Dufresne, D. ( 1996). On the stochastic equation ℒ(X) = ℒ(B(X + C)) and a property of gamma distributions, Bernoulli 2, pp. 287-291.
    • (1996) Bernoulli , vol.2 , pp. 287-291
    • Dufresne, D.1
  • 13
    • 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.
    • (1998) Ann. Statist. , vol.26
    • Letac, G.1    Massam, H.2
  • 14
    • 0001702994 scopus 로고
    • A contraction principle for certain Markov chains and its applications
    • Letac, G. (1986). A contraction principle for certain Markov chains and its applications. Contemp. Math. 50, 263-273.
    • (1986) Contemp. Math. , vol.50 , pp. 263-273
    • Letac, G.1
  • 17
    • 0000389050 scopus 로고
    • A characterization of the Wishart distribution
    • Olkin, I., and Rubin, H. (1962). A characterization of the Wishart distribution. Ann. Math. Stat. 33, 1272-1280.
    • (1962) Ann. Math. Stat. , vol.33 , pp. 1272-1280
    • Olkin, I.1    Rubin, H.2
  • 21
    • 0001565579 scopus 로고
    • On a stochastic difference equation and a representation of non-negative infinitely divisible random variables
    • Vervaat, W. (1979). On a stochastic difference equation and a representation of non-negative infinitely divisible random variables. Adv. Appl. Prob. 11, 750-783.
    • (1979) Adv. Appl. Prob. , vol.11 , pp. 750-783
    • Vervaat, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.