Results 201 to 210 of about 212,411 (244)
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On the mean value parametrization of natural exponential families — a revisited review
Mathematical Methods of Statistics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Bar-Lev, C. Kokonendji
semanticscholar +3 more sources
The diagonal multivariate natural exponential families and their classification
Journal of Theoretical Probability, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Bar-Lev +5 more
semanticscholar +2 more sources
2011 IEEE 23rd International Conference on Tools with Artificial Intelligence, 2011
In this paper, we develop the notion of discrete exponential Bayesian network, parametrization of Bayesian networks (BNs) using more general discrete quadratic exponential families instead of usual multinomial ones. We then introduce a family of prior distributions which generalizes the Dirichlet prior classically used with discrete Bayesian network ...
Aida Jarraya +2 more
semanticscholar +2 more sources
In this paper, we develop the notion of discrete exponential Bayesian network, parametrization of Bayesian networks (BNs) using more general discrete quadratic exponential families instead of usual multinomial ones. We then introduce a family of prior distributions which generalizes the Dirichlet prior classically used with discrete Bayesian network ...
Aida Jarraya +2 more
semanticscholar +2 more sources
Natural exponential families and self-decomposability
Statistics & Probability Letters, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Bar-Lev, D. Bshouty, G. Letac
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Natural Exponential Families and Umbral Calculus
, 1998We use the Umbral Calculus to investigate the relation between natural exponential families and Sheffer polynomials. As a corollary, we obtain a new transparent proof of Feinsilver’s theorem which says that natural exponential families have a quadratic variance function if and only if their associated Sheffer polynomials are orthogonal.
A. D. Bucchianico, D. Loeb
semanticscholar +3 more sources
4 Riesz natural exponential families
Riesz Probability Distributions, 2021semanticscholar +2 more sources
Posterior variance for quadratic natural exponential families
Statistics and Probability Letters, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denys Pommeret
exaly +2 more sources
Conditionally Reducible Natural Exponential Families and Enriched Conjugate Priors
Scandinavian Journal of Statistics, 2001Consider a standard conjugate family of prior distributions for a vector‐parameter indexing an exponential family. Two distinct model parameterizations may well lead to standard conjugate families which are not consistent, i.e. one family cannot be derived from the other by the usual change‐of‐variable technique.
G. Consonni, Piero Veronese
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Independence Structure of Natural Conjugate Densities to Exponential Families and the Gibbs' Sampler
Scandinavian Journal of Statistics, 2000In this paper the independence between a block of natural parameters and the complementary block of mean value parameters holding for densities which are natural conjugate to some regular exponential families is used to design in a convenient way a Gibbs' sampler with block updates.
Mauro Piccioni
exaly +3 more sources
Information Geometry, 2022
Hyperbolic geometry has become popular in machine learning due to its capacity to embed hierarchical graph structures with low distortions for further downstream processing.
F. Nielsen, K. Okamura
semanticscholar +1 more source
Hyperbolic geometry has become popular in machine learning due to its capacity to embed hierarchical graph structures with low distortions for further downstream processing.
F. Nielsen, K. Okamura
semanticscholar +1 more source