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Addendum to Moments of Gamma type and the Brownian supremum process area
Svante Janson
Source: Probab. Surveys Volume 7
(2010), 207-208.
Abstract
Supplementary references and material are provided to the paper entitled ‘Moments of Gamma type and the Brownian supremum process area’, published in Probability Surveys 7 (2010) 1–52.
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Permanent link to this document: http://projecteuclid.org/euclid.ps/1292249775
Digital Object Identifier: doi:10.1214/10-PS169
Mathematical Reviews number (MathSciNet): MR2645216
References
[1] B. L. J. Braaksma, Asymptotic expansions and analytic continuations for a class of Barnes-integrals. Compositio Math. 15 (1964), 239–341.
Mathematical Reviews (MathSciNet): MR167651
Zentralblatt MATH: 0129.28604
[2] B. D. Carter and M. D. Springer, The distribution of products, quotients and powers of independent H-function variates. SIAM J. Appl. Math. 33 (1977), no. 4, 542–558.
Mathematical Reviews (MathSciNet): MR483133
Zentralblatt MATH: 0373.60017
Digital Object Identifier: doi:10.1137/0133036
JSTOR: links.jstor.org
[3] J.-F. Chamayou and G. Letac, Additive properties of the Dufresne laws and their multivariate extension. J. Theoret. Probab. 12 (1999), no. 4, 1045–1066.
Mathematical Reviews (MathSciNet): MR1729469
Zentralblatt MATH: 0966.60002
Digital Object Identifier: doi:10.1023/A:1021649305082
[4] D. Dufresne, The beta product distribution with complex parameters. Comm. Statistics – Theory and Methods 39 (2010), no. 5, 837–854.
[5] D. Dufresne, G distributions and the beta-gamma algebra. Preprint, University of Melbourne, 2009.
[6] C. Fox, The G and H functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1961) 395–429.
Mathematical Reviews (MathSciNet): MR131578
Zentralblatt MATH: 0096.30804
[7] M. Kaluszka and W. Krysicki, On decompositions of some random variables. Metrika 46 (1997), no. 2, 159–175.
Mathematical Reviews (MathSciNet): MR1473905
Digital Object Identifier: doi:10.1007/BF02717172
[8] A. M. Mathai and R. K. Saxena, On the linear combinations of stochastic variables. 20 (1973), 160–169.
Mathematical Reviews (MathSciNet): MR365825
Digital Object Identifier: doi:10.1007/BF01893816
[9] A. M. Mathai and R. K. Saxena, Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences. Lecture Notes in Mathematics, Vol. 348, Springer-Verlag, Berlin-New York, 1973.
Mathematical Reviews (MathSciNet): MR463524
Zentralblatt MATH: 0272.33001
[10] A. M. Mathai, R. K. Saxena and H. J. Haubold, The H-Function. Theory and Applications. Springer, New York, 2010. xiv+268 pp. ISBN: 978-1-4419-0915-2
Mathematical Reviews (MathSciNet): MR2562766
[11] C. S. Meijer, On the G-function. I–VIII. Nederl. Akad. Wetensch., Proc. 49, (1946) 227–237, 344–356, 457–469, 632–641, 765–772, 936–943, 1063–1072, 1165–1175 = Indagationes Math. 8 (1946), 124–134, 213–225, 312–324, 391–400, 468–475, 595–602, 661–670, 713–723.
[12] E. W. Weisstein, Fox H-Function. MathWorld. http://mathworld.wolfram.com/FoxH-Function.html
[13] E. W. Weisstein, Meijer G-Function. MathWorld. http://mathworld.wolfram.com/MeijerG-Function.html
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