Results 21 to 30 of about 39,105 (170)

Generalised Exponential Families and Associated Entropy Functions

Entropy, 2008
A generalised notion of exponential families is introduced. It is based on the variational principle, borrowed from statistical physics. It is shown that inequivalent generalised entropy functions lead to distinct generalised exponential families.
Jan Naudts
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The Exponential Dispersion Model Generated by the Landau Distribution—A Comprehensive Review and Further Developments

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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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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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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A Comparison of the Smoothing Constant Values Among Exponential Smoothing Methods in Commodity Prices Forecasting

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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Itô-vector projection filter for exponential families

Results in Applied Mathematics
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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A New Family of Exponential Type Estimators in the Presence of Non-Response

Journal of Mathematical and Fundamental Sciences, 2021
We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are separately obtained for both cases.
Ceren Unal, Cem Kadilar
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On Sheffer polynomial families

4 open, 2019
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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