Results 21 to 30 of about 42,170 (301)
On the Limiting Behaviour of the Fundamental Geodesics of Information Geometry
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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Frequency Analysis of Extreme Events Using the Univariate Beta Family Probability Distributions
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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On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families
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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Pseudo-free families of computational universal algebras
Let Ω be a finite set of finitary operation symbols. We initiate the study of (weakly) pseudo-free families of computational Ω-algebras in arbitrary varieties of Ω-algebras.
Anokhin Mikhail
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Stationary Exponential Families
An exponential family for stationary sequences of random vectors in \(\mathbb{R}^ d\) is defined by making use of the Ionesco Tulcea theorem [\textit{C. T. Ionesco Tulcea}, Atti Accad. Naz. Lincei, Rend., Cl. Sci. Fis. Mat. Natur., VIII. S. 7, 208-211 (1950; Zbl 0035.152)].
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Satisfiability with Exponential Families [PDF]
Fix a set S ⊆ {0, 1}* of exponential size, e.g. |S ∩ {0, 1}n| ∈ Ω(αn), α > 1. The S-SAT problem asks whether a propositional formula F over variables v1, . . . , vn has a satisfying assignment (v1, . . . , vn) ∈ {0, 1}n ∩ S. Our interest is in determining the complexity of S-SAT.
Scheder, Dominik, Zumstein, Philipp
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Itô-vector projection filter for exponential families
In this paper, we study the application of Itô-vector projection [1] to the optimal filtering problem. The algorithm projects one SDE to another, possibly lower dimensional, SDE by minimizing an Itô–Taylor expansion of the local projection error’s L2 ...
Muhammad Fuady Emzir
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Commodity prices forecasting is one of the business functions to estimate future demand based on past data trend. This study aims to implement a trial and error technique of the constant (alpha α) value in the exponential smoothing method.
Hazriani Hazriani, Yuyun, Mashur Razak
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AbstractThis chapter introduces and discusses the exponential family (EF) and the exponential dispersion family (EDF). The EF and the EDF are by far the most important classes of distribution functions for regression modeling. They include, among others, the Gaussian, the binomial, the Poisson, the gamma, the inverse Gaussian distributions, as well as ...
Mario V. Wüthrich, Michael Merz
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On Sheffer polynomial families
Attention is focused to particular families of Sheffer polynomials which are different from the classical ones because they satisfy non-standard differential equations, including some of fractional type.
Pinelas Sandra, Ricci Paolo Emilio
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