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Scandinavian Actuarial Journal Volume 1979, 1979 - Issue 2-3
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Original Articles

On generalized gamma and generalized negative binomial convolutions. Part I

Lennart Bondesson Dept. of Mathematical Statistics, Box 725, S-220 07, Lund, Sweden
Pages 125-146 | Published online: 22 Dec 2011

Citations (23)

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Read on this site (5)

Mohamed A. Al-Osh & Emad-Eldin A.A. Aly. (1992) First order autoregressive time series with negative binomial and geometric marginals. Communications in Statistics - Theory and Methods 21:9, pages 2483-2492.
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Serge B. Provost. (1989) On sums of independent gamma eandom yariames. Statistics 20:4, pages 583-591.
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Lennart Bondesson. (1987) On the infinite divisibility of the half-Cauchy and other decreasing densities and probability functions on the nonnegative line. Scandinavian Actuarial Journal 1987:3-4, pages 225-247.
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Lennart Bondesson. (1984) New results on generalized gamma convolutions and the B-class. Scandinavian Actuarial Journal 1984:4, pages 197-209.
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Lennart Bondesson. (1979) On generalized gamma and generalized negative binomial convolutions. Part II. Scandinavian Actuarial Journal 1979:2-3, pages 147-166.
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Articles from other publishers (18)

F. W. Steutel. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
L. Bondesson. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Bronius Grigelionis. (2011) Extending the Thorin class. Lithuanian Mathematical Journal 51:2, pages 194-206.
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B. Grigelionis. (2008) Thorin classes of Lévy processes and their transforms. Lithuanian Mathematical Journal 48:3, pages 294-315.
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Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonL. Bondesson. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonF. W. Steutel. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonL. Bondesson. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonF. W. Steutel. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
E. Xekalaki & J. Panaretos. (1989) On the Association of the Pareto and the Yule Distribution. Theory of Probability & Its Applications 33:1, pages 191-195.
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Ed McKenzie. (2016) Autoregressive moving-average processes with negative-binomial and geometric marginal distributions. Advances in Applied Probability 18:3, pages 679-705.
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Evdokia Xekalaki. (1983) Infinite divisibility, completeness and regression properties of the univariate generalized waring distribution. Annals of the Institute of Statistical Mathematics 35:2, pages 279-289.
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John T. Kent & Nicholas T. Longford. (1983) An eigenvalue decomposition for first hitting times in random walks. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 63:1, pages 71-84.
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Christian Berg & Gunnar Forst. (1983) Multiply self-decomposable probability measures on ?+ and ?+. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete 62:2, pages 147-163.
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Lennart Bondesson. (2016) On simulation from infinitely divisible distributions. Advances in Applied Probability 14:4, pages 855-869.
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John T. Kent. (2008) Convolution mixtures of infinitely divisible distributions. Mathematical Proceedings of the Cambridge Philosophical Society 90:1, pages 141-153.
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Gunnar Forst. (1981) Subordinates of the Poisson semigroup. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete 55:1, pages 35-40.
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Lennart Bondesson. (1981) Classes of infinitely divisible distributions and densities. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete 57:1, pages 39-71.
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Lennart Bondesson. (1979) On the infinite divisibility of products of powers of gamma variables. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete 49:2, pages 171-175.
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