Results 11 to 20 of about 175,990 (247)
Local mixture models of exponential families [PDF]
, 2007 Exponential families are the workhorses of parametric modelling theory. One reason for their popularity is their associated inference theory, which is very clean, both from a theoretical and a computational point of view.
Anaya-Izquierdo, Karim, Marriott, Paul
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On the Fisher Metric of Conditional Probability Polytopes
Entropy, 2014 We consider three different approaches to define natural Riemannian metrics on polytopes of stochastic matrices. First, we define a natural class of stochastic maps between these polytopes and give a metric characterization of Chentsov type in terms of ...
Guido Montúfar, Johannes Rauh, Nihat Ay
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Nonparametric regression in exponential families [PDF]
, 2010 Most results in nonparametric regression theory are developed only for the case of additive noise. In such a setting many smoothing techniques including wavelet thresholding methods have been developed and shown to be highly adaptive.
Brown, Lawrence D. +2 more
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Entropy, 2014 One dimensional exponential families on finite sample spaces are studied using the geometry of the simplex Δn°-1 and that of a transformation Vn-1 of its interior.
Paul Vos, Karim Anaya-Izquierdo
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Characterization of the cubic exponential families by orthogonality of polynomials [PDF]
, 2004 This paper introduces a notion of 2-orthogonality for a sequence of polynomials to give extended versions of the Meixner and Feinsilver characterization results based on orthogonal polynomials.
Hassairi, Abdelhamid, Zarai, Mohammed
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Small area estimation with spatially varying natural exponential families [PDF]
Journal of Statistical Computation and Simulation, 2020 Two-stage hierarchical models have been widely used in small area estimation to produce indirect estimates of areal means. When the areas are treated exchangeably and the model parameters are assumed to be the same over all areas, we might lose the efficiency in the presence of spatial heterogeneity.
Shonosuke Sugasawa +2 more
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Bayesian approach to cubic natural exponential families [PDF]
Statistics & Probability Letters, 2013 For a natural exponential family (NEF), one can associate in a natural way two standard families of conjugate priors, one on the natural parameter and the other on the mean parameter. These families of conjugate priors have been used to establish some remarkable properties and characterization results of the quadratic NEF's.
Hamza, Marwa, Hassairi, Abdelhamid
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Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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Entropy, 2017 Information geometry enables a deeper understanding of the methods of statistical inference. In this paper, the problem of nonlinear parameter estimation is considered from a geometric viewpoint using a natural gradient descent on statistical manifolds ...
Yongqiang Cheng, Xuezhi Wang, Bill Moran
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Large Ankyrin repeat proteins are formed with similar and energetically favorable units.
PLoS ONE, 2020 Ankyrin containing proteins are one of the most abundant repeat protein families present in all extant organisms. They are made with tandem copies of similar amino acid stretches that fold into elongated architectures.
Ezequiel A Galpern +2 more
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