Results 1 to 10 of about 1,536,761 (277)
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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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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CoRR, 2014 We describe \textit{deep exponential families} (DEFs), a class of latent variable models that are inspired by the hidden structures used in deep neural networks. DEFs capture a hierarchy of dependencies between latent variables, and are easily generalized to many settings through exponential families.
Rajesh Ranganath +3 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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Pseudo-free families of computational universal algebras
Journal of Mathematical Cryptology, 2020 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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On Sufficiency and the Exponential Family
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1963 SUMMARY The use of the likelihood function as the minimal sufficient statistic provides a simple and direct proof of results by Barankin and Katz (1959) and Barankin (1961) concerning minimal sufficient statistics. In Section 2 the likelihood function is used to analyse the effect of sampling on the dimensionality of the sufficient ...
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Chentsov’s theorem for exponential families [PDF]
Information Geometry, 2018 Minor wording ...
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Rank verification for exponential families [PDF]
The Annals of Statistics, 2019 Many statistical experiments involve comparing multiple population groups. For example, a public opinion poll may ask which of several political candidates commands the most support; a social scientific survey may report the most common of several responses to a question; or, a clinical trial may compare binary patient outcomes under several treatment ...
Hung, Kenneth, Fithian, William
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Itô-vector projection filter for exponential families
Results in Applied MathematicsIn 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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Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi), 2022 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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