Results 41 to 50 of about 4,815,078 (315)
Mathematics, 2023 The paper comprehensively studies the natural exponential family and its associated exponential dispersion model generated by the Landau distribution. These families exhibit probabilistic and statistical properties and are suitable for modeling skewed ...
Shaul K. Bar-Lev
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Reproductive Exponential Families
The Annals of Statistics, 1983 Consider a full and steep exponential model $\mathscr{M}$ with model function $a(\theta)b(x)\exp\{\theta \cdot t(x)\}$ and a sample $x_1, \cdots, x_n$ from $\mathscr{M}$. Let $\bar{t} = \{t(x_1) + \cdots + t(x_n)\}/n$ and let $\bar{t} = (\bar{t}_1, \bar{t}_2)$ be a partition of the canonical statistic $\bar{t}$.
Barndorff-Nielsen, O., Blæsild, P.
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Statistical Modelling by Exponential Families, 2019 This paper covers theory of inference statistical models that belongs to curved exponential families. Some of these models are the normal distribution, binomial distribution, bivariate normal distribution and the SSR model.
Emma Angetun
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On the Limiting Behaviour of the Fundamental Geodesics of Information Geometry
Entropy, 2017 The Information Geometry of extended exponential families has received much recent attention in a variety of important applications, notably categorical data analysis, graphical modelling and, more specifically, log-linear modelling.
Frank Critchley, Paul Marriott
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Clustering above Exponential Families with Tempered Exponential Measures [PDF]
, 2022 The link with exponential families has allowed $k$-means clustering to be generalized to a wide variety of data generating distributions in exponential families and clustering distortions among Bregman divergences.
Nock, Richard +2 more
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Frequency Analysis of Extreme Events Using the Univariate Beta Family Probability Distributions
Applied Sciences, 2023 This manuscript presents three families of distributions, namely the Beta, Beta Prime and Beta Exponential families of distributions. From all the distributions of these families, 14 statistical distributions of three, four and five parameters are ...
Cornel Ilinca, Cristian Gabriel Anghel
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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 ...
F. Barbaresco
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Exponential expansiveness and complete admissibility for evolution families [PDF]
, 2004 summary:Connections between uniform exponential expansiveness and complete admissibility of the pair $(c_0({\mathbb N}, X),c_0({\mathbb N}, X))$ are studied.
Sasu, Bogdan +2 more
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On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families
Mathematics, 2021 Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ ...
Shaul K. Bar-Lev
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Iterative Scaling in Curved Exponential Families [PDF]
, 2013 The paper describes a generalized iterative proportional fitting procedure that can be used for maximum likelihood estimation in a special class of the general log‐linear model.
A. Klimova, T. Rudas
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