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Letac, Gérard G.

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Author ID: letac.gerard-g Recent zbMATH articles by "Letac, Gérard G."
Published as: Letac, G.; Letac, Gerard; Letac, Gérard; Letac, Gérard G.
Documents Indexed: 128 Publications since 1964, including 5 Books
all top 5

Serials

10 The Annals of Statistics
10 Journal of Applied Probability
10 Journal of Theoretical Probability
9 Statistics & Probability Letters
5 The Annals of Probability
5 Journal of Multivariate Analysis
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 Illinois Journal of Mathematics
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Bernoulli
1 American Mathematical Monthly
1 Metrika
1 Scandinavian Journal of Statistics
1 Annals of the Institute of Statistical Mathematics
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 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 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
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 Annales de la Faculté des Sciences de l’Université de Clermont. Mathématiques

Publications by Year

Citations contained in zbMATH

103 Publications have been cited 817 times in 561 Documents Cited by Year
Natural real exponential families with cubic variance functions. Zbl 0714.62010
Letac, Gérard; Mora, Marianne
106
1990
Lectures on natural exponential families and their variance functions. Zbl 0983.62501
Letac, Gérard
66
1992
Wishart distributions for decomposable graphs. Zbl 1194.62078
Letac, Gérard; Massam, Hélène
45
2007
The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones. Zbl 0906.62053
Casalis, M.; Letac, G.
42
1996
Explicit stationary distributions for compositions of random functions and products of random matrices. Zbl 0728.60012
Chamayou, Jean-François; Letac, Gérard
39
1991
An independence property for the product of GIG and gamma laws. Zbl 1010.62010
Letac, Gérard; Wesołowski, Jacek
26
2000
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
26
1994
The complex Wishart distribution and the symmetric group. Zbl 1019.62047
Graczyk, Piotr; Letac, Gérard; Massam, Hélène
25
2003
A contraction principle for certain Markov chains and its applications. Zbl 0587.60057
Letac, Gérard
24
1986
Quadratic and inverse regressions for Wishart distributions. Zbl 1073.62536
Letac, Gérard; Massam, Hélène
23
1998
All invariant moments of the Wishart distribution. Zbl 1063.62081
Letac, Gérard; Massam, Héléne
19
2004
A characterization of the generalized inverse Gaussian distribution by continued fractions. Zbl 0488.60020
Letac, Gerard; Seshadri, Vanamamalai
17
1983
The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution. Zbl 1067.60003
Graczyk, P.; Letac, G.; Massam, H.
15
2005
Which functions preserve Cauchy laws? Zbl 0376.28019
Letac, Gerard
15
1978
A characterization of the Wishart exponential families by an invariance property. Zbl 0672.62061
Letac, Gérard
13
1989
Characterization of the Jørgensen set in generalized linear models. Zbl 0815.62030
Casalis, M.; Letac, G.
12
1994
A transient random walk on stochastic matrices with Dirichlet distributions. Zbl 0807.60066
Chamayou, Jean-François; Letac, Gérard
12
1994
The real powers of the convolution of a negative binomial distribution and a Bernoulli distribution. Zbl 0989.60017
Letac, Gérard; Malouche, Dhafer; Maurer, Stefan
10
2002
Isotropy and sphericity: Some characterisations of the normal distribution. Zbl 0462.62014
Letac, Gerard
10
1981
Additive properties of the Dufresne laws and their multivariate extension. Zbl 0966.60002
Chamayou, Jean-François; Letac, Gérard
9
1999
Les fonctions spheriques d’un couple de Gelfand symétrique et les chaînes de Markov. Zbl 0482.60011
Letac, Gerard
9
1982
Dirichlet random walks. Zbl 1320.60108
Letac, Gérard; Piccioni, Mauro
7
2014
Laplace transforms which are negative powers of quadratic polynomials. Zbl 1152.60019
Letac, G.; Wesołowski, J.
7
2008
The noncentral Wishart as an exponential family, and its moments. Zbl 1140.62043
Letac, Gérard; Massam, Hélène
7
2008
La réciprocité des familles exponentielles naturelles sur \({\mathbb{R}}\). (Reciprocity between natural exponential families on \({\mathbb{R}})\). Zbl 0591.60003
Letac, Gérard
7
1986
Bayes factors and the geometry of discrete hierarchical loglinear models. Zbl 1274.62391
Letac, Gérard; Massam, Hélène
6
2012
The normal quasi-Wishart distribution. Zbl 1012.62058
Letac, Gérard; Massam, Hélène
6
2001
An expectation formula for the multivariate Dirichlet distribution. Zbl 0984.62036
Letac, Gérard; Massam, Hélène; Richards, Donald
6
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
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
6
1989
The limit behavior of an interval splitting scheme. Zbl 0599.60030
Devroye, Luc; Letac, Gerard; Seshadri, Vanamamalai
6
1986
Problèmes classiques de probabilité sur un couple de Gelfand. Zbl 0463.60010
Letac, Gerard
6
1981
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
Transience and recurrence of an interesting Markov chain. Zbl 0303.60058
Letac, Gerard
6
1974
Représentation des mesures de probabilité sur le produit de deux espaces denombrables, de marges données. Zbl 0141.14801
Letac, G.
6
1966
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
An exact chi-squared decomposition theorem for inverse Gaussian variates. Zbl 0587.62038
Letac, G.; Seshadri, V.; Whitmore, G. A.
5
1985
Brocot sequences and random walks in SL(2,\({\mathbb{R}})\). Zbl 0542.60014
Chassaing, Philippe; Letac, Gérard; Mora, Marianne
5
1984
A unified treatment of some theorems on positive matrices. Zbl 0286.15005
Letac, Gerard
5
1974
Problèmes de probabilité. Zbl 0206.19604
Letac, G.
5
1970
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
4
2018
Increasing hazard rate of mixtures for natural exponential families. Zbl 1246.60029
Bar-Lev, Shaul K.; Letac, Gérard
4
2012
Multitype linear fractional branching processes. Zbl 1154.60068
Joffe, A.; Letac, G.
4
2006
Exponential stopping and drifted stable processes. Zbl 1065.60045
Letac, G.; Seshadri, V.
4
2005
Random nested tetrahedra. Zbl 0965.60031
Letac, Gérard; Scarsini, Marco
4
1998
The statistical exponential families invariant under the groups of the cone and of the revolution paraboloid. Zbl 0871.62017
Letac, Gérard
4
1994
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
4
1986
Dual random walks and special functions on homogeneous trees. Zbl 0532.60008
Letac, Gérard
4
1981
Copulas with prescribed correlation matrix. Zbl 1333.62048
Devroye, Luc; Letac, Gérard
3
2015
Meixner matrix ensembles. Zbl 1296.60005
Bryc, Włodzimierz; Letac, Gérard
3
2013
Why Jordan algebras are natural in statistics: quadratic regression implies Wishart distributions. Zbl 1213.62089
Letac, G.; Wesołowski, J.
3
2011
Beta-hypergeometric distributions and random continued fractions. Zbl 1147.62009
Asci, Claudio; Letac, Gérard; Piccioni, Mauro
3
2008
Donkey walk and Dirichlet distributions. Zbl 1016.60067
Letac, Gérard
3
2002
Representations of the Wishart distributions. Zbl 0971.62026
Letac, Gérard; Massam, Hélène
3
2000
Characterization of the normal distribution through the power of a one-way ANOVA. Zbl 0933.62011
Kagan, Abram; Letac, Gérard
3
1999
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
On Khatri’s characterization of the inverse-Gaussian distribution. Zbl 0609.62020
Letac, Gérard; Seshadri, Vanamamalai
3
1985
A characterization of the gamma distribution. Zbl 0579.60013
Letac, Gérard
3
1985
Random walks on a dodecahedron. Zbl 0428.60083
Letac, G.; Takacs, L.
3
1980
Dirichlet and quasi-Bernoulli laws for perpetuities. Zbl 1296.60184
Hitczenko, Paweł; Letac, Gérard
2
2014
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
2
2010
Comment: Lancaster probabilities and Gibbs sampling. Zbl 1327.62066
Letac, Gérard
2
2008
Exponential families of mixed Poisson distributions. Zbl 1117.62010
Ferrari, A.; Letac, G.; Tourneret, J.-Y.
2
2007
The moments of Wishart laws, binary trees, and the triple products. Zbl 1012.60017
Letac, Gérard; Massam, Hélène
2
2001
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
Natural exponential families and self-decomposability. Zbl 0742.60015
Bar-Lev, Shaul K.; Bshouty, Daoud; Letac, Gérard
2
1992
Haight’s distributions as a natural exponential family. Zbl 0633.62015
Letac, Gérard; Seshadri, V.
2
1988
A factorization of the Askey’s characteristic function \((1-\| t\| _{2n+1})_ +^{n+1}\). Zbl 0601.60019
Letac, G.; Rahman, Q. I.
2
1986
Mesures sur le cercle et convexes du plan. Zbl 0559.52005
Letac, Gérard
2
1983
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
Cauchy functional equation again. Zbl 0404.39004
Letac, Gerard
2
1978
Seules les affinites preservent les lois normales. Zbl 0372.60012
Letac, Gerard; Pradines, Jean
2
1978
Recurrence des librairies. Zbl 0365.60051
Letac, Gerard
2
1976
A note on left-continuous random walks. Zbl 0356.60007
Letac, Gerard; Mazet, Pierre; Schiffmann, Gerard
2
1976
Construction d’evenements équiprobables et coefficients multinomiaux modulo p\(^n\). Zbl 0294.60011
Bernard, Jacques; Letac, Gerard
2
1973
Groupe de Stam d’une probabilité. Zbl 0239.60009
Letac, Gerard
2
1972
Multivariate reciprocal inverse Gaussian distributions from the Sabot-Tarrès-Zeng integral. Zbl 1445.62106
Letac, Gérard; Wesołowski, Jacek
1
2020
Is the Sibuya distribution a progeny? Zbl 1418.60112
Letac, Gérard
1
2019
The median of an exponential family and the normal law. Zbl 06828738
Letac, Gérard; Mattner, Lutz; Piccioni, Mauro
1
2018
Associated natural exponential families and elliptic functions. Zbl 1358.60029
Letac, Gérard
1
2016
Random continued fractions with beta-hypergeometric distribution. Zbl 1244.60067
Letac, Gérard; Piccioni, Mauro
1
2012
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
Extremal rays and duals for cones of positive definite matrices with prescribed zeros. Zbl 1106.05063
Letac, Gérard; Massam, Hélène
1
2006
The Markov chain associated to a Pick function. Zbl 0972.60073
Letac, Gérard; Malouche, Dhafer
1
2000
Symmetric cones as Gelfand pairs: Probabilistic applications. Zbl 0965.60018
Letac, Gérard
1
2000
Stationary sequences with simple joint Poisson distributions. Zbl 0966.60047
Letac, Gérard
1
2000
Intégration et probabilités. Analyse de Fourier. Exercices corrigés. (Integration and probability. Fourier analysis. Corrected exercises). 2ème éd. 2ème éd. Zbl 0878.00004
Letac, Gérard
1
1997
A random continued fraction in \(\mathbb{R}^{d+1}\) with an inverse Gaussian distribution. Zbl 0842.60005
Letac, Gérard; Seshadri, Vanamamalai
1
1995
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
An explicit calculation of the mean of the perimeter of the convex hull of a plane random walk. Zbl 0777.60067
Letac, Gérard
1
1993
Counter example to P. C. Consul’s theorem on the factorization of generalized Poisson distributions. Zbl 0738.62011
Letac, Gérard
1
1991
Brownian-path-preserving functions on \({\mathbb{R}}_+^{n+1}\) and Cauchy distributions in \({\mathbb{R}}^ n\). Zbl 0591.60076
Letac, Gérard G.
1
1986
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
Multivariate reciprocal inverse Gaussian distributions from the Sabot-Tarrès-Zeng integral. Zbl 1445.62106
Letac, Gérard; Wesołowski, Jacek
1
2020
Is the Sibuya distribution a progeny? Zbl 1418.60112
Letac, Gérard
1
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
4
2018
The median of an exponential family and the normal law. Zbl 06828738
Letac, Gérard; Mattner, Lutz; Piccioni, Mauro
1
2018
Associated natural exponential families and elliptic functions. Zbl 1358.60029
Letac, Gérard
1
2016
Copulas with prescribed correlation matrix. Zbl 1333.62048
Devroye, Luc; Letac, Gérard
3
2015
Dirichlet random walks. Zbl 1320.60108
Letac, Gérard; Piccioni, Mauro
7
2014
Dirichlet and quasi-Bernoulli laws for perpetuities. Zbl 1296.60184
Hitczenko, Paweł; Letac, Gérard
2
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
6
2012
Increasing hazard rate of mixtures for natural exponential families. Zbl 1246.60029
Bar-Lev, Shaul K.; Letac, Gérard
4
2012
Random continued fractions with beta-hypergeometric distribution. Zbl 1244.60067
Letac, Gérard; Piccioni, Mauro
1
2012
Why Jordan algebras are natural in statistics: quadratic regression implies Wishart distributions. 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
2
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
Laplace transforms which are negative powers of quadratic polynomials. Zbl 1152.60019
Letac, G.; Wesołowski, J.
7
2008
The noncentral Wishart as an exponential family, and its moments. Zbl 1140.62043
Letac, Gérard; Massam, Hélène
7
2008
Beta-hypergeometric distributions and random continued fractions. Zbl 1147.62009
Asci, Claudio; Letac, Gérard; Piccioni, Mauro
3
2008
Comment: Lancaster probabilities and Gibbs sampling. Zbl 1327.62066
Letac, Gérard
2
2008
Wishart distributions for decomposable graphs. Zbl 1194.62078
Letac, Gérard; Massam, Hélène
45
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
1
2006
The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution. Zbl 1067.60003
Graczyk, P.; Letac, G.; Massam, H.
15
2005
Exponential stopping and drifted stable processes. Zbl 1065.60045
Letac, G.; Seshadri, V.
4
2005
All invariant moments of the Wishart distribution. Zbl 1063.62081
Letac, Gérard; Massam, Héléne
19
2004
The complex Wishart distribution and the symmetric group. Zbl 1019.62047
Graczyk, Piotr; Letac, Gérard; Massam, Hélène
25
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
10
2002
Donkey walk and Dirichlet distributions. Zbl 1016.60067
Letac, Gérard
3
2002
The normal quasi-Wishart distribution. Zbl 1012.62058
Letac, Gérard; Massam, Hélène
6
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. 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
26
2000
Representations of the Wishart distributions. Zbl 0971.62026
Letac, Gérard; Massam, Hélène
3
2000
The Markov chain associated to a Pick function. Zbl 0972.60073
Letac, Gérard; Malouche, Dhafer
1
2000
Symmetric cones as Gelfand pairs: Probabilistic applications. Zbl 0965.60018
Letac, Gérard
1
2000
Stationary sequences with simple joint Poisson distributions. Zbl 0966.60047
Letac, Gérard
1
2000
Additive properties of the Dufresne laws and their multivariate extension. Zbl 0966.60002
Chamayou, Jean-François; Letac, Gérard
9
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
23
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. 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.
42
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
26
1994
Characterization of the Jørgensen set in generalized linear models. Zbl 0815.62030
Casalis, M.; Letac, G.
12
1994
A transient random walk on stochastic matrices with Dirichlet distributions. Zbl 0807.60066
Chamayou, Jean-François; Letac, Gérard
12
1994
The statistical exponential families invariant under the groups of the cone and of the revolution paraboloid. Zbl 0871.62017
Letac, Gérard
4
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
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
An explicit calculation of the mean of the perimeter of the convex hull of a plane random walk. Zbl 0777.60067
Letac, Gérard
1
1993
Lectures on natural exponential families and their variance functions. Zbl 0983.62501
Letac, Gérard
66
1992
Natural exponential families and self-decomposability. Zbl 0742.60015
Bar-Lev, Shaul K.; Bshouty, Daoud; Letac, Gérard
2
1992
Explicit stationary distributions for compositions of random functions and products of random matrices. Zbl 0728.60012
Chamayou, Jean-François; Letac, Gérard
39
1991
Counter example to P. C. Consul’s theorem on the factorization of generalized Poisson distributions. Zbl 0738.62011
Letac, Gérard
1
1991
Natural real exponential families with cubic variance functions. Zbl 0714.62010
Letac, Gérard; Mora, Marianne
106
1990
A characterization of the Wishart exponential families by an invariance property. Zbl 0672.62061
Letac, Gérard
13
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
6
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
24
1986
La réciprocité des familles exponentielles naturelles sur \({\mathbb{R}}\). (Reciprocity between natural exponential families on \({\mathbb{R}})\). Zbl 0591.60003
Letac, Gérard
7
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
4
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
3
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
5
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
2
1983
Les fonctions spheriques d’un couple de Gelfand symétrique et les chaînes de Markov. Zbl 0482.60011
Letac, Gerard
9
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
6
1981
Dual random walks and special functions on homogeneous trees. Zbl 0532.60008
Letac, Gérard
4
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
15
1978
Chaînes de Markov sur les permutations. Zbl 0435.60001
Letac, Gerard
6
1978
Cauchy functional equation again. Zbl 0404.39004
Letac, Gerard
2
1978
Seules les affinites preservent les lois normales. Zbl 0372.60012
Letac, Gerard; Pradines, Jean
2
1978
Recurrence des librairies. Zbl 0365.60051
Letac, Gerard
2
1976
A note on left-continuous random walks. Zbl 0356.60007
Letac, Gerard; Mazet, Pierre; Schiffmann, Gerard
2
1976
Transience and recurrence of an interesting Markov chain. Zbl 0303.60058
Letac, Gerard
6
1974
A unified treatment of some theorems on positive matrices. Zbl 0286.15005
Letac, Gerard
5
1974
Construction d’evenements équiprobables et coefficients multinomiaux modulo p\(^n\). Zbl 0294.60011
Bernard, Jacques; Letac, Gerard
2
1973
Groupe de Stam d’une probabilité. Zbl 0239.60009
Letac, Gerard
2
1972
La théorie de Karamata en bref. (The Karamata theory shortly). Zbl 0222.26004
Letac, Gérard
1
1971
Problèmes de probabilité. Zbl 0206.19604
Letac, G.
5
1970
...and 3 more Documents
all top 5

Cited by 630 Authors

47 Letac, Gérard G.
22 Massam, Helene M.
22 Wesołowski, Jacek
20 Kokonendji, Célestin Clotaire
18 Hassairi, Abdelhamid
17 Bar-Lev, Shaul K.
11 Masmoudi, Afif
10 Richards, Donald St. P.
9 Kołodziejek, Bartosz
7 Bshouty, Daoud H.
7 Casalis, Muriel
7 Khare, Kshitij
7 Koudou, Angelo Efoévi
7 Pommeret, Denys
7 Sabot, Christophe
6 Bobecka, Konstancja
6 Bryc, Włodzimierz
6 Graczyk, Piotr
6 Landsman, Zinoviy M.
6 Louati, Mahdi
6 Piccioni, Mauro
6 Rajaratnam, Bala
6 Seshadri, Vanamamalai
6 Vinogradov, Vladimir V.
5 Dobra, Adrian
5 Mselmi, Farouk
5 Nadarajah, Saralees
5 Tourigny, Yves
5 Voit, Michael
5 Yor, Marc
5 Zine, Raoudha
4 Bernardoff, Philippe
4 Chamayou, Jean-François
4 Comtet, Alain
4 Consonni, Guido
4 Cordeiro, Gauss Moutinho
4 Di Nardo, Elvira
4 Dunau, Jean-Louis
4 Ishi, Hideyuki
4 Lenkoski, Alex
4 Lu, I-Li
4 Makov, Udi E.
4 Malouche, Dhafer
4 Matsumoto, Hiroyuki
4 Matsumoto, Sho
4 Matúš, František
4 Szpojankowski, Kamil
3 Addy, Cheryl L.
3 Aldous, David John
3 Ben Farah, Mohamed
3 Chen, Xiongzhi
3 Cribari-Neto, Francisco
3 Cunden, Fabio Deelan
3 De Gregorio, Alessandro
3 Diaconis, Persi Warren
3 Díaz-García, José Antonio
3 Dufresne, Daniel
3 Enriquez, Nathanaël
3 Fakhfakh, Raouf
3 Ferrari, Silvia Lopes de Paula
3 Ghosal, Subhashis
3 Hardin, James W.
3 Hitczenko, Paweł
3 Lajmi, Sallouha
3 Le Caër, Gérard
3 López-Blázquez, Fernando
3 Ong, Seng-Huat
3 Pakes, Anthony G.
3 Rouault, Alain
3 Scarabotti, Fabio
3 Shanbhag, Damodar N.
3 Tolli, Filippo
3 Tournier, Laurent
3 Yang, Zhao
3 Zarai, Mohammed
3 Zindy, Olivier
2 Aaronson, Jon
2 Afif, Masmoudi
2 Andersson, Steen Arne
2 Asci, Claudio
2 Ayyer, Arvind
2 Banerjee, Sayantan
2 Ben-David, Emanuel
2 Berthuet, Roland
2 Bielza, Concha
2 Boutouria, Imen
2 Broniatowski, Michel
2 Buraczewski, Dariusz
2 Capitaine, Mireille
2 Carvalho, Carlos Marinho
2 Ceccherini-Silberstein, Tullio G.
2 Chou, Chao-Wei
2 Collamore, Jeffrey F.
2 Collins, Benoît
2 Córdoba, Irene
2 Csiszár, Imre
2 del Castillo, Joan
2 Devroye, Luc P. J. A.
2 Dey, Dipak Kumar
2 Dies, Jacques-Edouard
...and 530 more Authors
all top 5

Cited in 154 Serials

45 Statistics & Probability Letters
41 Journal of Multivariate Analysis
27 Journal of Statistical Planning and Inference
25 Journal of Theoretical Probability
22 The Annals of Statistics
21 Communications in Statistics. Theory and Methods
14 Stochastic Processes and their Applications
12 Journal of Mathematical Analysis and Applications
12 Bernoulli
11 Probability Theory and Related Fields
10 The Annals of Applied Probability
9 Journal of Statistical Physics
9 Transactions of the American Mathematical Society
9 Electronic Journal of Statistics
8 Lithuanian Mathematical Journal
8 The Annals of Probability
8 Journal of Functional Analysis
8 Test
7 Annals of the Institute of Statistical Mathematics
6 Metrika
6 Journal of Applied Probability
6 Advances in Applied Mathematics
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 Computational Statistics and Data Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 The Annals of Applied Statistics
4 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
4 Communications in Statistics. Simulation and Computation
4 Linear Algebra and its Applications
4 Mathematical Methods of Statistics
4 Bayesian Analysis
3 The Canadian Journal of Statistics
3 Computers & Mathematics with Applications
3 Scandinavian Journal of Statistics
3 Kybernetika
3 Scandinavian Actuarial Journal
3 SIAM Journal on Algebraic and Discrete Methods
3 Statistical Science
3 Aequationes Mathematicae
3 Journal of Statistical Computation and Simulation
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Methodology and Computing in Applied Probability
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Applied Probability
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physica A
2 Rocky Mountain Journal of Mathematics
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Geometriae Dedicata
2 Journal of Approximation Theory
2 Journal of Econometrics
2 Nagoya Mathematical Journal
2 Tohoku Mathematical Journal. Second Series
2 Probability and Mathematical Statistics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Electronic Journal of Probability
2 Journal of Applied Statistics
2 Extremes
2 ASTIN Bulletin
2 Mediterranean Journal of Mathematics
2 Statistical Methodology
2 Random Matrices: Theory and Applications
2 Journal of Theoretical Biology
2 Journal of Statistical Distributions and Applications
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Studia Mathematica
1 Journal of Geometry and Physics
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Colloquium Mathematicum
1 Dissertationes Mathematicae
1 Indiana University Mathematics Journal
1 International Statistical Review
1 Journal of Algebra
1 Journal of Mathematical Psychology
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Semigroup Forum
1 Statistica Neerlandica
1 Tokyo Journal of Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
...and 54 more Serials
all top 5

Cited in 46 Fields

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

Citations by Year