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Author ID: letac.gerard-g Recent zbMATH articles by "Letac, Gérard G."
Published as: Letac, Gérard; Letac, Gerard; Letac, G.; Letac, Gérard G.
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Serials

10 The Annals of Statistics
10 Journal of Applied Probability
10 Statistics & Probability Letters
10 Journal of Theoretical Probability
6 Journal of Multivariate Analysis
5 The Annals of Probability
5 Proceedings of the American Mathematical Society
4 Advances in Applied Probability
4 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 The Canadian Journal of Statistics
3 Journal of Statistical Planning and Inference
3 Comptes Rendus de l’Académie des Sciences. Série I
2 Metrika
2 Annals of the Institute of Statistical Mathematics
2 Illinois Journal of Mathematics
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Bernoulli
1 American Mathematical Monthly
1 Scandinavian Journal of Statistics
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 International Statistical Review
1 Journal of the American Statistical Association
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Kybernetika
1 Mathematische Nachrichten
1 Transactions of the American Mathematical Society
1 SIAM Journal on Algebraic and Discrete Methods
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications
1 Probability Theory and Related Fields
1 Statistical Science
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Journal of the Royal Statistical Society. Series B
1 Linear Algebra and its Applications
1 Test
1 Electronic Communications in Probability
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
1 Institut Élie Cartan, Université de Nancy I
1 Monografías de Matemática (Rio de Janeiro)
1 Annales de la Faculté des Sciences de l’Université de Clermont. Mathématiques
1 Séminaire de Mathématiques Supérieures

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 1,019 times in 712 Documents Cited by Year
Natural real exponential families with cubic variance functions. Zbl 0714.62010
Letac, Gérard; Mora, Marianne
125
1990
Lectures on natural exponential families and their variance functions. Zbl 0983.62501
Letac, Gérard
86
1992
Wishart distributions for decomposable graphs. Zbl 1194.62078
Letac, Gérard; Massam, Hélène
62
2007
The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones. Zbl 0906.62053
Casalis, M.; Letac, G.
51
1996
Explicit stationary distributions for compositions of random functions and products of random matrices. Zbl 0728.60012
Chamayou, Jean-François; Letac, Gérard
42
1991
A contraction principle for certain Markov chains and its applications. Zbl 0587.60057
Letac, Gérard
41
1986
An independence property for the product of GIG and gamma laws. Zbl 1010.62010
Letac, Gérard; Wesołowski, Jacek
34
2000
The complex Wishart distribution and the symmetric group. Zbl 1019.62047
Graczyk, Piotr; Letac, Gérard; Massam, Hélène
31
2003
All invariant moments of the Wishart distribution. Zbl 1063.62081
Letac, Gérard; Massam, Héléne
30
2004
The diagonal multivariate natural exponential families and their classification. Zbl 0807.60017
Bar-Lev, Shaul K.; Bshouty, Daoud; Enis, Peter; Letac, Gérard; Lu, I- Li; Richards, Donald
29
1994
Quadratic and inverse regressions for Wishart distributions. Zbl 1073.62536
Letac, Gérard; Massam, Hélène
26
1998
The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution. Zbl 1067.60003
Graczyk, P.; Letac, G.; Massam, H.
19
2005
A characterization of the generalized inverse Gaussian distribution by continued fractions. Zbl 0488.60020
Letac, Gerard; Seshadri, Vanamamalai
17
1983
Which functions preserve Cauchy laws? Zbl 0376.28019
Letac, Gerard
16
1978
The noncentral Wishart as an exponential family, and its moments. Zbl 1140.62043
Letac, Gérard; Massam, Hélène
16
2008
Characterization of the Jørgensen set in generalized linear models. Zbl 0815.62030
Casalis, M.; Letac, G.
15
1994
A characterization of the Wishart exponential families by an invariance property. Zbl 0672.62061
Letac, Gérard
14
1989
A transient random walk on stochastic matrices with Dirichlet distributions. Zbl 0807.60066
Chamayou, Jean-François; Letac, Gérard
13
1994
Les fonctions spheriques d’un couple de Gelfand symétrique et les chaînes de Markov. Zbl 0482.60011
Letac, Gerard
11
1982
The real powers of the convolution of a negative binomial distribution and a Bernoulli distribution. Zbl 0989.60017
Letac, Gérard; Malouche, Dhafer; Maurer, Stefan
11
2002
Additive properties of the Dufresne laws and their multivariate extension. Zbl 0966.60002
Chamayou, Jean-François; Letac, Gérard
11
1999
Isotropy and sphericity: Some characterisations of the normal distribution. Zbl 0462.62014
Letac, Gerard
10
1981
Problèmes classiques de probabilité sur un couple de Gelfand. Zbl 0463.60010
Letac, Gerard
10
1981
Dirichlet random walks. Zbl 1320.60108
Letac, Gérard; Piccioni, Mauro
9
2014
Laplace transforms which are negative powers of quadratic polynomials. Zbl 1152.60019
Letac, G.; Wesołowski, J.
9
2008
Le problème de la classification des familles exponentielles naturelles de \({\mathbb{R}}^ d\) ayant une fonction variance quadratique. (The problem of classification of natural exponential families in \(R^ d\) with quadratic variance function). Zbl 0679.62010
Letac, Gérard
8
1989
Bayes factors and the geometry of discrete hierarchical loglinear models. Zbl 1274.62391
Letac, Gérard; Massam, Hélène
8
2012
La réciprocité des familles exponentielles naturelles sur \({\mathbb{R}}\). (Reciprocity between natural exponential families on \({\mathbb{R}})\). Zbl 0591.60003
Letac, Gérard
8
1986
The Laplace transform \((\det s)^{-p} \exp \operatorname{tr}(s^{-1}w)\) and the existence of non-central Wishart distributions. Zbl 1386.60068
Letac, Gérard; Massam, Hélène
8
2018
Transience and recurrence of an interesting Markov chain. Zbl 0303.60058
Letac, Gerard
7
1974
The normal quasi-Wishart distribution. Zbl 1012.62058
Letac, Gérard; Massam, Hélène
7
2001
A formula on multivariate Dirichlet distributions. Zbl 0903.62050
Letac, Gérard; Massam, Hélène
6
1998
Craig-Sakamoto’s theorem for the Wishart distributions on symmetric cones. Zbl 0847.62042
Letac, G.; Massam, H.
6
1995
Random walks on an m-dimensional cube. Zbl 0411.60072
Letac, Gerard; Takacs, Lajos
6
1979
Chaînes de Markov sur les permutations. Zbl 0435.60001
Letac, Gerard
6
1978
An expectation formula for the multivariate Dirichlet distribution. Zbl 0984.62036
Letac, Gérard; Massam, Hélène; Richards, Donald
6
2001
Représentation des mesures de probabilité sur le produit de deux espaces denombrables, de marges données. Zbl 0141.14801
Letac, G.
6
1966
The limit behavior of an interval splitting scheme. Zbl 0599.60030
Devroye, Luc; Letac, Gerard; Seshadri, Vanamamalai
6
1986
Brocot sequences and random walks in SL(2,\({\mathbb{R}})\). Zbl 0542.60014
Chassaing, Philippe; Letac, Gérard; Mora, Marianne
6
1984
The statistical exponential families invariant under the groups of the cone and of the revolution paraboloid. (Les familles exponentielles statistiques invariantes par les groupes du cône et du paraboloïde de révolution.) Zbl 0871.62017
Letac, Gérard
5
1994
Copulas with prescribed correlation matrix. Zbl 1333.62048
Devroye, Luc; Letac, Gérard
5
2015
Exponential stopping and drifted stable processes. Zbl 1065.60045
Letac, G.; Seshadri, V.
5
2005
Sur une propriété des familles exponentielles naturelles de variance quadratique. (On a property of natural exponential families with quadratic variance). Zbl 0676.62009
Jørgensen, Bent; Letac, Gérard; Seshadri, Vanamamalai
5
1989
A unified treatment of some theorems on positive matrices. Zbl 0286.15005
Letac, Gerard
5
1974
Donkey walk and Dirichlet distributions. Zbl 1016.60067
Letac, Gérard
5
2002
Increasing hazard rate of mixtures for natural exponential families. Zbl 1246.60029
Bar-Lev, Shaul K.; Letac, Gérard
5
2012
Problèmes de probabilité. Zbl 0206.19604
Letac, G.
5
1970
An exact chi-squared decomposition theorem for inverse Gaussian variates. Zbl 0587.62038
Letac, G.; Seshadri, V.; Whitmore, G. A.
5
1985
Dual random walks and special functions on homogeneous trees. Zbl 0532.60008
Letac, Gérard
5
1981
Random nested tetrahedra. Zbl 0965.60031
Letac, Gérard; Scarsini, Marco
4
1998
On Khatri’s characterization of the inverse-Gaussian distribution. Zbl 0609.62020
Letac, Gérard; Seshadri, Vanamamalai
4
1985
Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\). Zbl 0612.60019
Letac, Gérard
4
1986
Multitype linear fractional branching processes. Zbl 1154.60068
Joffe, A.; Letac, G.
4
2006
Multivariate reciprocal inverse Gaussian distributions from the Sabot-Tarrès-Zeng integral. Zbl 1445.62106
Letac, Gérard; Wesołowski, Jacek
4
2020
Natural exponential families and self-decomposability. Zbl 0742.60015
Bar-Lev, Shaul K.; Bshouty, Daoud; Letac, Gérard
3
1992
An explicit calculation of the mean of the perimeter of the convex hull of a plane random walk. Zbl 0777.60067
Letac, Gérard
3
1993
Comment: Lancaster probabilities and Gibbs sampling. Zbl 1327.62066
Letac, Gérard
3
2008
Dirichlet and quasi-Bernoulli laws for perpetuities. Zbl 1296.60184
Hitczenko, Paweł; Letac, Gérard
3
2014
Random walks on a dodecahedron. Zbl 0428.60083
Letac, G.; Takacs, L.
3
1980
Characterization of the normal distribution through the power of a one-way ANOVA. Zbl 0933.62011
Kagan, Abram; Letac, Gérard
3
1999
Representations of the Wishart distributions. Zbl 0971.62026
Letac, Gérard; Massam, Hélène
3
2000
The expectation of \(X^{-1}\) as a function of \({\mathbb{E}}(X)\) for an exponential family on the positive line. Zbl 0694.62006
Letac, Gérard; Seshadri, Vanamamalai
3
1989
Why Jordan algebras are natural in statistics: quadratic regression implies Wishart distributions. (Pourquoi les algèbres de Jordan sont-elles naturelles en statistiques? La régression quadratique implique la distribution de Wishart.) Zbl 1213.62089
Letac, G.; Wesołowski, J.
3
2011
The limiting behavior of some infinitely divisible exponential dispersion models. Zbl 1456.62026
Bar-Lev, Shaul K.; Letac, Gérard
3
2010
Mesures sur le cercle et convexes du plan. Zbl 0559.52005
Letac, Gérard
3
1983
A characterization of the gamma distribution. Zbl 0579.60013
Letac, Gérard
3
1985
Sur les fonctions-variance des familles exponentielles naturelles sur \({\mathbb{R}}\). (On the variance-functions of natural exponential families on \({\mathbb{R}})\). Zbl 0591.62012
Letac, Gérard; Mora, Marianne
3
1986
Is the Sibuya distribution a progeny? Zbl 1418.60112
Letac, Gérard
3
2019
Meixner matrix ensembles. Zbl 1296.60005
Bryc, Włodzimierz; Letac, Gérard
3
2013
Duality for real and multivariate exponential families. Zbl 1493.62273
Letac, Gérard
3
2022
Beta-hypergeometric distributions and random continued fractions. Zbl 1147.62009
Asci, Claudio; Letac, Gérard; Piccioni, Mauro
3
2008
Accelerating Bayesian structure learning in sparse Gaussian graphical models. Zbl 07707245
Mohammadi, Reza; Massam, Hélène; Letac, Gérard
3
2023
About an extension of the Matsumoto-Yor property. Zbl 1548.60046
Letac, Gérard; Wesołowski, Jacek
3
2024
Sampling models which admit a given general exponential family as a conjugate family of priors. Zbl 0827.62002
Bar-Lev, Shaul K.; Enis, Peter; Letac, Gérard
2
1994
Haight’s distributions as a natural exponential family. Zbl 0633.62015
Letac, Gérard; Seshadri, V.
2
1988
Construction d’evenements équiprobables et coefficients multinomiaux modulo p\(^n\). Zbl 0294.60011
Bernard, Jacques; Letac, Gerard
2
1973
Extremal rays and duals for cones of positive definite matrices with prescribed zeros. Zbl 1106.05063
Letac, Gérard; Massam, Hélène
2
2006
Seules les affinites preservent les lois normales. Zbl 0372.60012
Letac, Gerard; Pradines, Jean
2
1978
Groupe de Stam d’une probabilité. Zbl 0239.60009
Letac, Gerard
2
1972
Cauchy functional equation again. Zbl 0404.39004
Letac, Gerard
2
1978
Symmetric cones as Gelfand pairs: Probabilistic applications. Zbl 0965.60018
Letac, Gérard
2
2000
Associated natural exponential families and elliptic functions. Zbl 1358.60029
Letac, Gérard
2
2016
Random continued fractions with beta-hypergeometric distribution. Zbl 1244.60067
Letac, Gérard; Piccioni, Mauro
2
2012
The mean perimeter of some random plane convex sets generated by a Brownian motion. Zbl 1221.60115
Biane, Philippe; Letac, Gérard
2
2011
Dirichlet curves, convex order and Cauchy distribution. Zbl 1454.60066
Letac, Gérard; Piccioni, Mauro
2
2018
A note on left-continuous random walks. Zbl 0356.60007
Letac, Gerard; Mazet, Pierre; Schiffmann, Gerard
2
1976
Recurrence des librairies. Zbl 0365.60051
Letac, Gerard
2
1976
Stationary sequences with simple joint Poisson distributions. Zbl 0966.60047
Letac, Gérard
2
2000
The moments of Wishart laws, binary trees, and the triple products. (Les moments des lois de Wishart, les arbres binaires et les produits triples.) Zbl 1012.60017
Letac, Gérard; Massam, Hélène
2
2001
A factorization of the Askey’s characteristic function \((1-\| t\| _{2n+1})_ +^{n+1}\). Zbl 0601.60019
Letac, G.; Rahman, Q. I.
2
1986
Intégration et probabilités. Analyse de Fourier et analyse spectrale. Exercices. Zbl 0497.00003
Letac, G.
2
1982
Random walks on a 600-cell. Zbl 0498.60073
Letac, Gerard; Takacs, Lajos
2
1980
Exponential families of mixed Poisson distributions. Zbl 1117.62010
Ferrari, A.; Letac, G.; Tourneret, J.-Y.
2
2007
A decomposition for the exponential dispersion model generated by the invariance measure on the hyperboloid. Zbl 0798.60014
Casalis, M.; Letac, G.; Massam, H.
1
1993
Counter example to P. C. Consul’s theorem on the factorization of generalized Poisson distributions. (Contre-exemple au théorème de P. C. Consul sur la factorisation des distributions de Poisson généralisées.) Zbl 0738.62011
Letac, Gérard
1
1991
On slow variation. Zbl 0189.06001
Letac, G.
1
1970
A random continued fraction in \(\mathbb{R}^{d+1}\) with an inverse Gaussian distribution. Zbl 0842.60005
Letac, Gérard; Seshadri, Vanamamalai
1
1995
Intégration et probabilités. Analyse de Fourier. Exercices corrigés. (Integration and probability. Fourier analysis. Corrected exercises). 2ème éd. 2ème éd. (Intégration et probabilités. Analyse de Fourier. Exercices corrigés.) Zbl 0878.00004
Letac, Gérard
1
1997
On building random variables of a given distribution. Zbl 0302.60028
Letac, Gerard
1
1975
Recurrence for products of renewal sequences. Zbl 0369.60106
Letac, Gerard
1
1977
About an extension of the Matsumoto-Yor property. Zbl 1548.60046
Letac, Gérard; Wesołowski, Jacek
3
2024
Accelerating Bayesian structure learning in sparse Gaussian graphical models. Zbl 07707245
Mohammadi, Reza; Massam, Hélène; Letac, Gérard
3
2023
Duality for real and multivariate exponential families. Zbl 1493.62273
Letac, Gérard
3
2022
Multivariate reciprocal inverse Gaussian distributions from the Sabot-Tarrès-Zeng integral. Zbl 1445.62106
Letac, Gérard; Wesołowski, Jacek
4
2020
Is the Sibuya distribution a progeny? Zbl 1418.60112
Letac, Gérard
3
2019
The Laplace transform \((\det s)^{-p} \exp \operatorname{tr}(s^{-1}w)\) and the existence of non-central Wishart distributions. Zbl 1386.60068
Letac, Gérard; Massam, Hélène
8
2018
Dirichlet curves, convex order and Cauchy distribution. Zbl 1454.60066
Letac, Gérard; Piccioni, Mauro
2
2018
The median of an exponential family and the normal law. Zbl 1457.62062
Letac, Gérard; Mattner, Lutz; Piccioni, Mauro
1
2018
Associated natural exponential families and elliptic functions. Zbl 1358.60029
Letac, Gérard
2
2016
Copulas with prescribed correlation matrix. Zbl 1333.62048
Devroye, Luc; Letac, Gérard
5
2015
Dirichlet random walks. Zbl 1320.60108
Letac, Gérard; Piccioni, Mauro
9
2014
Dirichlet and quasi-Bernoulli laws for perpetuities. Zbl 1296.60184
Hitczenko, Paweł; Letac, Gérard
3
2014
Meixner matrix ensembles. Zbl 1296.60005
Bryc, Włodzimierz; Letac, Gérard
3
2013
Bayes factors and the geometry of discrete hierarchical loglinear models. Zbl 1274.62391
Letac, Gérard; Massam, Hélène
8
2012
Increasing hazard rate of mixtures for natural exponential families. Zbl 1246.60029
Bar-Lev, Shaul K.; Letac, Gérard
5
2012
Random continued fractions with beta-hypergeometric distribution. Zbl 1244.60067
Letac, Gérard; Piccioni, Mauro
2
2012
Why Jordan algebras are natural in statistics: quadratic regression implies Wishart distributions. (Pourquoi les algèbres de Jordan sont-elles naturelles en statistiques? La régression quadratique implique la distribution de Wishart.) Zbl 1213.62089
Letac, G.; Wesołowski, J.
3
2011
The mean perimeter of some random plane convex sets generated by a Brownian motion. Zbl 1221.60115
Biane, Philippe; Letac, Gérard
2
2011
The limiting behavior of some infinitely divisible exponential dispersion models. Zbl 1456.62026
Bar-Lev, Shaul K.; Letac, Gérard
3
2010
A characterization related to the equilibrium distribution associated with a polynomial structure. Zbl 1190.60085
Bar-Lev, Shaul K.; Boxma, Onno; Letac, Gérard
1
2010
Estimates for the uniform norm of complex polynomials in the unit disk. Zbl 1184.30034
Fournier, Richard; Letac, Gérard; Ruscheweyh, Stephan
1
2010
The noncentral Wishart as an exponential family, and its moments. Zbl 1140.62043
Letac, Gérard; Massam, Hélène
16
2008
Laplace transforms which are negative powers of quadratic polynomials. Zbl 1152.60019
Letac, G.; Wesołowski, J.
9
2008
Comment: Lancaster probabilities and Gibbs sampling. Zbl 1327.62066
Letac, Gérard
3
2008
Beta-hypergeometric distributions and random continued fractions. Zbl 1147.62009
Asci, Claudio; Letac, Gérard; Piccioni, Mauro
3
2008
Wishart distributions for decomposable graphs. Zbl 1194.62078
Letac, Gérard; Massam, Hélène
62
2007
Exponential families of mixed Poisson distributions. Zbl 1117.62010
Ferrari, A.; Letac, G.; Tourneret, J.-Y.
2
2007
Multitype linear fractional branching processes. Zbl 1154.60068
Joffe, A.; Letac, G.
4
2006
Extremal rays and duals for cones of positive definite matrices with prescribed zeros. Zbl 1106.05063
Letac, Gérard; Massam, Hélène
2
2006
The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution. Zbl 1067.60003
Graczyk, P.; Letac, G.; Massam, H.
19
2005
Exponential stopping and drifted stable processes. Zbl 1065.60045
Letac, G.; Seshadri, V.
5
2005
All invariant moments of the Wishart distribution. Zbl 1063.62081
Letac, Gérard; Massam, Héléne
30
2004
The complex Wishart distribution and the symmetric group. Zbl 1019.62047
Graczyk, Piotr; Letac, Gérard; Massam, Hélène
31
2003
The real powers of the convolution of a negative binomial distribution and a Bernoulli distribution. Zbl 0989.60017
Letac, Gérard; Malouche, Dhafer; Maurer, Stefan
11
2002
Donkey walk and Dirichlet distributions. Zbl 1016.60067
Letac, Gérard
5
2002
The normal quasi-Wishart distribution. Zbl 1012.62058
Letac, Gérard; Massam, Hélène
7
2001
An expectation formula for the multivariate Dirichlet distribution. Zbl 0984.62036
Letac, Gérard; Massam, Hélène; Richards, Donald
6
2001
The moments of Wishart laws, binary trees, and the triple products. (Les moments des lois de Wishart, les arbres binaires et les produits triples.) Zbl 1012.60017
Letac, Gérard; Massam, Hélène
2
2001
An independence property for the product of GIG and gamma laws. Zbl 1010.62010
Letac, Gérard; Wesołowski, Jacek
34
2000
Representations of the Wishart distributions. Zbl 0971.62026
Letac, Gérard; Massam, Hélène
3
2000
Symmetric cones as Gelfand pairs: Probabilistic applications. Zbl 0965.60018
Letac, Gérard
2
2000
Stationary sequences with simple joint Poisson distributions. Zbl 0966.60047
Letac, Gérard
2
2000
The Markov chain associated to a Pick function. Zbl 0972.60073
Letac, Gérard; Malouche, Dhafer
1
2000
Additive properties of the Dufresne laws and their multivariate extension. Zbl 0966.60002
Chamayou, Jean-François; Letac, Gérard
11
1999
Characterization of the normal distribution through the power of a one-way ANOVA. Zbl 0933.62011
Kagan, Abram; Letac, Gérard
3
1999
Quadratic and inverse regressions for Wishart distributions. Zbl 1073.62536
Letac, Gérard; Massam, Hélène
26
1998
A formula on multivariate Dirichlet distributions. Zbl 0903.62050
Letac, Gérard; Massam, Hélène
6
1998
Random nested tetrahedra. Zbl 0965.60031
Letac, Gérard; Scarsini, Marco
4
1998
Intégration et probabilités. Analyse de Fourier. Exercices corrigés. (Integration and probability. Fourier analysis. Corrected exercises). 2ème éd. 2ème éd. (Intégration et probabilités. Analyse de Fourier. Exercices corrigés.) Zbl 0878.00004
Letac, Gérard
1
1997
The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones. Zbl 0906.62053
Casalis, M.; Letac, G.
51
1996
Craig-Sakamoto’s theorem for the Wishart distributions on symmetric cones. Zbl 0847.62042
Letac, G.; Massam, H.
6
1995
A random continued fraction in \(\mathbb{R}^{d+1}\) with an inverse Gaussian distribution. Zbl 0842.60005
Letac, Gérard; Seshadri, Vanamamalai
1
1995
The diagonal multivariate natural exponential families and their classification. Zbl 0807.60017
Bar-Lev, Shaul K.; Bshouty, Daoud; Enis, Peter; Letac, Gérard; Lu, I- Li; Richards, Donald
29
1994
Characterization of the Jørgensen set in generalized linear models. Zbl 0815.62030
Casalis, M.; Letac, G.
15
1994
A transient random walk on stochastic matrices with Dirichlet distributions. Zbl 0807.60066
Chamayou, Jean-François; Letac, Gérard
13
1994
The statistical exponential families invariant under the groups of the cone and of the revolution paraboloid. (Les familles exponentielles statistiques invariantes par les groupes du cône et du paraboloïde de révolution.) Zbl 0871.62017
Letac, Gérard
5
1994
Sampling models which admit a given general exponential family as a conjugate family of priors. Zbl 0827.62002
Bar-Lev, Shaul K.; Enis, Peter; Letac, Gérard
2
1994
An explicit calculation of the mean of the perimeter of the convex hull of a plane random walk. Zbl 0777.60067
Letac, Gérard
3
1993
A decomposition for the exponential dispersion model generated by the invariance measure on the hyperboloid. Zbl 0798.60014
Casalis, M.; Letac, G.; Massam, H.
1
1993
Lectures on natural exponential families and their variance functions. Zbl 0983.62501
Letac, Gérard
86
1992
Natural exponential families and self-decomposability. Zbl 0742.60015
Bar-Lev, Shaul K.; Bshouty, Daoud; Letac, Gérard
3
1992
Explicit stationary distributions for compositions of random functions and products of random matrices. Zbl 0728.60012
Chamayou, Jean-François; Letac, Gérard
42
1991
Counter example to P. C. Consul’s theorem on the factorization of generalized Poisson distributions. (Contre-exemple au théorème de P. C. Consul sur la factorisation des distributions de Poisson généralisées.) Zbl 0738.62011
Letac, Gérard
1
1991
Natural real exponential families with cubic variance functions. Zbl 0714.62010
Letac, Gérard; Mora, Marianne
125
1990
A characterization of the Wishart exponential families by an invariance property. Zbl 0672.62061
Letac, Gérard
14
1989
Le problème de la classification des familles exponentielles naturelles de \({\mathbb{R}}^ d\) ayant une fonction variance quadratique. (The problem of classification of natural exponential families in \(R^ d\) with quadratic variance function). Zbl 0679.62010
Letac, Gérard
8
1989
Sur une propriété des familles exponentielles naturelles de variance quadratique. (On a property of natural exponential families with quadratic variance). Zbl 0676.62009
Jørgensen, Bent; Letac, Gérard; Seshadri, Vanamamalai
5
1989
The expectation of \(X^{-1}\) as a function of \({\mathbb{E}}(X)\) for an exponential family on the positive line. Zbl 0694.62006
Letac, Gérard; Seshadri, Vanamamalai
3
1989
Haight’s distributions as a natural exponential family. Zbl 0633.62015
Letac, Gérard; Seshadri, V.
2
1988
A contraction principle for certain Markov chains and its applications. Zbl 0587.60057
Letac, Gérard
41
1986
La réciprocité des familles exponentielles naturelles sur \({\mathbb{R}}\). (Reciprocity between natural exponential families on \({\mathbb{R}})\). Zbl 0591.60003
Letac, Gérard
8
1986
The limit behavior of an interval splitting scheme. Zbl 0599.60030
Devroye, Luc; Letac, Gerard; Seshadri, Vanamamalai
6
1986
Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\). Zbl 0612.60019
Letac, Gérard
4
1986
Sur les fonctions-variance des familles exponentielles naturelles sur \({\mathbb{R}}\). (On the variance-functions of natural exponential families on \({\mathbb{R}})\). Zbl 0591.62012
Letac, Gérard; Mora, Marianne
3
1986
A factorization of the Askey’s characteristic function \((1-\| t\| _{2n+1})_ +^{n+1}\). Zbl 0601.60019
Letac, G.; Rahman, Q. I.
2
1986
Brownian-path-preserving functions on \({\mathbb{R}}_+^{n+1}\) and Cauchy distributions in \({\mathbb{R}}^ n\). Zbl 0591.60076
Letac, Gérard G.
1
1986
An exact chi-squared decomposition theorem for inverse Gaussian variates. Zbl 0587.62038
Letac, G.; Seshadri, V.; Whitmore, G. A.
5
1985
On Khatri’s characterization of the inverse-Gaussian distribution. Zbl 0609.62020
Letac, Gérard; Seshadri, Vanamamalai
4
1985
A characterization of the gamma distribution. Zbl 0579.60013
Letac, Gérard
3
1985
Brocot sequences and random walks in SL(2,\({\mathbb{R}})\). Zbl 0542.60014
Chassaing, Philippe; Letac, Gérard; Mora, Marianne
6
1984
A characterization of the generalized inverse Gaussian distribution by continued fractions. Zbl 0488.60020
Letac, Gerard; Seshadri, Vanamamalai
17
1983
Mesures sur le cercle et convexes du plan. Zbl 0559.52005
Letac, Gérard
3
1983
Les fonctions spheriques d’un couple de Gelfand symétrique et les chaînes de Markov. Zbl 0482.60011
Letac, Gerard
11
1982
Intégration et probabilités. Analyse de Fourier et analyse spectrale. Exercices. Zbl 0497.00003
Letac, G.
2
1982
Isotropy and sphericity: Some characterisations of the normal distribution. Zbl 0462.62014
Letac, Gerard
10
1981
Problèmes classiques de probabilité sur un couple de Gelfand. Zbl 0463.60010
Letac, Gerard
10
1981
Dual random walks and special functions on homogeneous trees. Zbl 0532.60008
Letac, Gérard
5
1981
Random walks on a dodecahedron. Zbl 0428.60083
Letac, G.; Takacs, L.
3
1980
Random walks on a 600-cell. Zbl 0498.60073
Letac, Gerard; Takacs, Lajos
2
1980
Random walks on an m-dimensional cube. Zbl 0411.60072
Letac, Gerard; Takacs, Lajos
6
1979
Les fonctions interieures de \(\mathbb{R}_+^3\to\mathbb{R}_+^2\) et la preservation des lois de Cauchy. Zbl 0414.60014
Letac, Gerard; Olie, Francois
1
1979
Une suite stationnaire et isotrope est spherique. Zbl 0388.60019
Letac, Gerard; Milhaud, Xavier
1
1979
Which functions preserve Cauchy laws? Zbl 0376.28019
Letac, Gerard
16
1978
Chaînes de Markov sur les permutations. Zbl 0435.60001
Letac, Gerard
6
1978
Seules les affinites preservent les lois normales. Zbl 0372.60012
Letac, Gerard; Pradines, Jean
2
1978
Cauchy functional equation again. Zbl 0404.39004
Letac, Gerard
2
1978
Recurrence for products of renewal sequences. Zbl 0369.60106
Letac, Gerard
1
1977
A note on left-continuous random walks. Zbl 0356.60007
Letac, Gerard; Mazet, Pierre; Schiffmann, Gerard
2
1976
Recurrence des librairies. Zbl 0365.60051
Letac, Gerard
2
1976
On building random variables of a given distribution. Zbl 0302.60028
Letac, Gerard
1
1975
...and 9 more Documents
all top 5

Cited by 809 Authors

55 Letac, Gérard G.
26 Wesołowski, Jacek
24 Massam, Helene M.
22 Bar-Lev, Shaul K.
22 Kokonendji, Célestin Clotaire
21 Hassairi, Abdelhamid
15 Masmoudi, Afif
11 Pommeret, Denys
10 Kołodziejek, Bartosz
10 Richards, Donald St. P.
9 Louati, Mahdi
9 Mselmi, Farouk
9 Vinogradov, Vladimir Vladimirovich
8 Graczyk, Piotr
8 Khare, Kshitij
8 Koudou, Angelo Efoévi
8 Piccioni, Mauro
8 Sabot, Christophe
7 Bshouty, Daoud H.
7 Casalis, Muriel
7 Diaconis, Persi Warren
7 Fakhfakh, Raouf
7 Voit, Michael
7 Zine, Raoudha
6 Bobecka, Konstancja
6 Bryc, Włodzimierz
6 Landsman, Zinoviy M.
6 Rajaratnam, Bala
6 Seshadri, Vanamamalai
5 Bernardoff, Philippe
5 Consonni, Guido
5 Dobra, Adrian
5 Ishi, Hideyuki
5 Lenkoski, Alex
5 Matias, Edgar
5 Nadarajah, Saralees
5 Tourigny, Yves
5 Yor, Marc
4 Ben Farah, Mohamed
4 Chamayou, Jean-François
4 Comtet, Alain
4 Cordeiro, Gauss Moutinho
4 Cunden, Fabio Deelan
4 Di Nardo, Elvira
4 Dunau, Jean-Louis
4 Enriquez, Nathanaël
4 Ghosal, Subhashis
4 Ghribi, Abdelaziz
4 Lajmi, Sallouha
4 Lu, I-Li
4 Makov, Udi E.
4 Malouche, Dhafer
4 Matsumoto, Hiroyuki
4 Matsumoto, Sho
4 Matúš, František
4 O’Connell, Neil
4 Ong, Seng-Huat
4 Paris, Richard Bruce
4 Szpojankowski, Kamil
3 Addy, Cheryl L.
3 Aldous, David John
3 Banerjee, Sayantan
3 Boutouria, Imen
3 Broniatowski, Michel
3 Buraczewski, Dariusz
3 Chen, Xiongzhi
3 Cribari-Neto, Francisco
3 De Gregorio, Alessandro
3 Díaz-García, José Antonio
3 Díaz, Lorenzo Justiniano
3 Dufresne, Daniel
3 Ferrari, Silvia Lopes de Paula
3 Hamza, Marwa
3 Hardin, James W.
3 Hitczenko, Paweł
3 Huillet, Thierry E.
3 Kolesnik, Alexander D.
3 Le Caër, Gérard
3 López-Blázquez, Fernando
3 Majumdar, Satya N.
3 Mayerhofer, Eberhard
3 Mohammadi, Reza
3 Nakashima, Hideto
3 Pakes, Anthony G.
3 Pielaszkiewicz, Jolanta Maria
3 Piliszek, Agnieszka
3 Ridder, Ad
3 Rouault, Alain
3 Scarabotti, Fabio
3 Shanbhag, Damodar N.
3 Tolli, Filippo
3 Tounsi, Mariem
3 Tournier, Laurent
3 Wintenberger, Olivier
3 Yang, Zhao
3 Zarai, Mohammed
3 Zeng, Xiaolin
3 Zindy, Olivier
2 Aaronson, Jon
2 Afif, Masmoudi
...and 709 more Authors
all top 5

Cited in 202 Serials

50 Statistics & Probability Letters
46 Journal of Multivariate Analysis
31 Communications in Statistics. Theory and Methods
30 Journal of Statistical Planning and Inference
30 Journal of Theoretical Probability
22 The Annals of Statistics
14 Stochastic Processes and their Applications
13 Probability Theory and Related Fields
13 Bernoulli
12 Journal of Mathematical Analysis and Applications
11 The Annals of Applied Probability
10 Journal of Statistical Physics
10 Lithuanian Mathematical Journal
10 The Annals of Probability
10 Transactions of the American Mathematical Society
10 Electronic Journal of Statistics
9 Metrika
9 Annals of the Institute of Statistical Mathematics
8 Journal of Functional Analysis
8 Test
7 Journal of Applied Probability
7 Electronic Journal of Probability
6 Scandinavian Journal of Statistics
6 Advances in Applied Mathematics
6 Computational Statistics and Data Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 The Annals of Applied Statistics
5 Journal of Computational and Applied Mathematics
5 Proceedings of the American Mathematical Society
5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
5 Communications in Statistics. Simulation and Computation
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 The Canadian Journal of Statistics
4 Physica A
4 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
4 Journal of the American Statistical Association
4 Journal of Statistical Computation and Simulation
4 Linear Algebra and its Applications
4 Mathematical Methods of Statistics
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Methodology and Computing in Applied Probability
4 Bayesian Analysis
3 Computers & Mathematics with Applications
3 Kybernetika
3 Scandinavian Actuarial Journal
3 Tôhoku Mathematical Journal. Second Series
3 SIAM Journal on Algebraic and Discrete Methods
3 Statistical Science
3 Aequationes Mathematicae
3 Indagationes Mathematicae. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Filomat
3 Journal of Applied Statistics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Random Matrices: Theory and Applications
3 Journal of Statistical Distributions and Applications
3 Stat
2 Advances in Applied Probability
2 Communications in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Rocky Mountain Journal of Mathematics
2 Theory of Probability and its Applications
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Geometriae Dedicata
2 Journal of Algebra
2 Journal of Approximation Theory
2 Journal of Econometrics
2 Nagoya Mathematical Journal
2 Ergodic Theory and Dynamical Systems
2 Journal of Time Series Analysis
2 Probability and Mathematical Statistics
2 Acta Mathematica Hungarica
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Extremes
2 Journal of the European Mathematical Society (JEMS)
2 Journal of High Energy Physics
2 Econometric Theory
2 ASTIN Bulletin
2 Mediterranean Journal of Mathematics
2 Statistical Methodology
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of the Korean Statistical Society
2 Probability Surveys
2 Sankhyā. Series A
2 Journal of Theoretical Biology
1 Applicable Analysis
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
...and 102 more Serials
all top 5

Cited in 51 Fields

407 Probability theory and stochastic processes (60-XX)
376 Statistics (62-XX)
66 Linear and multilinear algebra; matrix theory (15-XX)
44 Combinatorics (05-XX)
42 Special functions (33-XX)
33 Functional analysis (46-XX)
26 Dynamical systems and ergodic theory (37-XX)
23 Numerical analysis (65-XX)
21 Abstract harmonic analysis (43-XX)
21 Statistical mechanics, structure of matter (82-XX)
18 Group theory and generalizations (20-XX)
15 Nonassociative rings and algebras (17-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Measure and integration (28-XX)
12 Operator theory (47-XX)
12 Quantum theory (81-XX)
11 Number theory (11-XX)
11 Integral transforms, operational calculus (44-XX)
10 Convex and discrete geometry (52-XX)
10 Computer science (68-XX)
9 Topological groups, Lie groups (22-XX)
9 Real functions (26-XX)
9 Functions of a complex variable (30-XX)
7 Difference and functional equations (39-XX)
7 Approximations and expansions (41-XX)
7 Biology and other natural sciences (92-XX)
5 Differential geometry (53-XX)
5 Information and communication theory, circuits (94-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Algebraic geometry (14-XX)
4 Partial differential equations (35-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Ordinary differential equations (34-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Integral equations (45-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
1 Mathematical logic and foundations (03-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)

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