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Variations of Hausdorff Dimension in the Exponential Family [PDF]
, 2008 In this paper we deal with the following family of exponential maps $(f_\lambda:z\mapsto \lambda(e^z-1))_{\lambda\in [1,+\infty)}$. Denoting $d(\lambda)$ the hyperbolic dimension of $f_\lambda$.
Havard, Guillaume +2 more
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Double-Exponential-X Family of Distributions: Properties and Applications
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A new family of distribution named Double-Exponential-X family is proposed. The proposed family is generated from the double exponential distribution.
Kehinde Adekunle Bashiru +4 more
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On the Admissibility of Estimators of Two Ordered Gamma Scale Parameters under Entropy Loss Function
Revstat Statistical Journal, 2011 Suppose that a random sample of size ni is drawn from a gamma distribution with known shape parameter νi > 0 and unknown scale parameter βi > 0, i = 1, 2, satisfying 0 < β1 ≤ β2.
N. Nematollahi , Z. Meghnatisi
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Approximation of Densities on Riemannian Manifolds
Entropy, 2019 Finding an approximate probability distribution best representing a sample on a measure space is one of the most basic operations in statistics. Many procedures were designed for that purpose when the underlying space is a finite dimensional Euclidean ...
Alice le Brigant, Stéphane Puechmorel
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KFAS: Exponential Family State Space Models in R
Journal of Statistical Software, 2017 State space modeling is an efficient and flexible method for statistical inference of a broad class of time series and other data. This paper describes the R package KFAS for state space modeling with the observations from an exponential family, namely ...
Jouni Helske
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A novel family of lifetime distribution with applications to real and simulated data
PLoS ONE, 2020 The paper investigates a new scheme for generating lifetime probability distributions. The scheme is called Exponential- H family of distribution. The paper presents an application of this family by using the Weibull distribution, the new distribution is
Muhammad Ijaz +3 more
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EntropyExponential families are statistical models which are the workhorses in statistics, information theory, and machine learning, among others. An exponential family can either be normalized subtractively by its cumulant or free energy function, or ...
Frank Nielsen
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Entropy, 2001 : In its modern formulation, the Maximum Entropy Principle was promoted by E.T. Jaynes, starting in the mid-fifties. The principle dictates that one should look for a distribution, consistent with available information, which maximizes the entropy ...
F. Topsøe, P. Harremoeës
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Local Influence for the Thin-Plate Spline Generalized Linear Model
AxiomsThin-Plate Spline Generalized Linear Models (TPS-GLMs) are an extension of Semiparametric Generalized Linear Models (SGLMs), because they allow a smoothing spline to be extended to two or more dimensions.
Germán Ibacache-Pulgar +3 more
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Information Aggregation in Exponential Family Markets
, 2014 We consider the design of prediction market mechanisms known as automated market makers. We show that we can design these mechanisms via the mold of \emph{exponential family distributions}, a popular and well-studied probability distribution template ...
Chen Yiling +8 more
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