Results 11 to 20 of about 8,012,542 (291)
Statistical procedures based on exponential scores [PDF]
, 1983 Many statistical models have been proposed in which underlying exponential distributions are assumed. Applications of such models occur in a large number of areas, for example in reliability and life-testing investigations and in the study of the ...
Young, D H
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Exponential families of mixed Poisson distributions [PDF]
, 2006 If I=(I1,…,Id) is a random variable on [0,∞)d with distribution μ(dλ1,…,dλd), the mixed Poisson distribution MP(μ) on View the MathML source is the distribution of (N1(I1),…,Nd(Id)) where N1,…,Nd are ordinary independent Poisson processes which are also ...
Letac, G. +9 more
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Group Invariance of Information Geometry on q-Gaussian Distributions Induced by Beta-Divergence
Entropy, 2013 We demonstrate that the q-exponential family particularly admits natural geometrical structures among deformed exponential families. The property is the invariance of structures with respect to a general linear group, which transitively acts on the space
Shinto Eguchi, Atsumi Ohara
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Entropic Dynamics on Gibbs Statistical Manifolds
Entropy, 2021 Entropic dynamics is a framework in which the laws of dynamics are derived as an application of entropic methods of inference. Its successes include the derivation of quantum mechanics and quantum field theory from probabilistic principles.
Pedro Pessoa +2 more
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Superintegrability of matrix Student's distribution
Physics Letters B, 2022 For ordinary matrix models, the eigenvalue probability density decays rapidly as one goes to infinity, in other words, has “short tails”. This ensures that all the multiple trace correlators (multipoint moments) are convergent and well-defined.
A. Mironov, A. Morozov, A. Popolitov
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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Entropy, 2015 A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
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Increasing Hazard Rate of Mixtures for Natural Exponential Families [PDF]
Advances in Applied Probability, 2012 Hazard rates play an important role in various areas, e.g. reliability theory, survival analysis, biostatistics, queueing theory, and actuarial studies. Mixtures of distributions are also of great preeminence in such areas as most populations of components are indeed heterogeneous.
Bar-Lev, Shaul K., Letac, Gérard
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On standard conjugate families for natural exponential families with bounded natural parameter space
Journal of Multivariate Analysis, 2014 Diaconis and Ylvisaker (1979) give necessary conditions for conjugate priors for distributions from the natural exponential family to be proper as well as to have the property of linear posterior expectation of the mean parameter of the family. Their conditions for propriety and linear posterior expectation are also sufficient if the natural parameter ...
Kurt Hornik, Bettina Grün
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Physics Letters B, 2020 We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible action involving an infinite tower of higher-curvature corrections to the Einstein-Hilbert action.
Gustavo Arciniega +5 more
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A Non-Linear Filtering Algorithm Based on Alpha-Divergence Minimization
Sensors, 2018 A non-linear filtering algorithm based on the alpha-divergence is proposed, which uses the exponential family distribution to approximate the actual state distribution and the alpha-divergence to measure the approximation degree between the two ...
Yarong Luo +3 more
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