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One dimensional exponential families on finite sample spaces are studied using the geometry of the simplex Δn°-1 and that of a transformation Vn-1 of its interior.
Paul Vos, Karim Anaya-Izquierdo
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Synthesis and Antiproliferative Activity against Cancer Cells of Indole-Aryl-Amide Derivatives
Indoles constitute a large family of heterocyclic compounds widely occurring in nature which are present in a number of bioactive natural and synthetic compounds, including anticancer agents or atypical opioid agonists. As a result, exponential increases
Junwei Zhao +5 more
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bamlss: A Lego Toolbox for Flexible Bayesian Regression (and Beyond)
Over the last decades, the challenges in applied regression and in predictive modeling have been changing considerably: (1) More flexible regression model specifications are needed as data sizes and available information are steadily increasing ...
Nikolaus Umlauf +3 more
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Associated Natural Exponential Families and Elliptic Functions [PDF]
This paper studies the variance functions of the natural exponential families (NEF) on the real line of the form \((Am^4+Bm^2+C)^{1/2}\) where m denoting the mean. Surprisingly enough, most of them are discrete families concentrated on \(\lambda \mathbb {Z}\) for some constant \(\lambda \) and the Laplace transform of their elements are expressed by ...
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Increasing Hazard Rate of Mixtures for Natural Exponential Families [PDF]
Hazard rates play an important role in various areas, e.g. reliability theory, survival analysis, biostatistics, queueing theory, and actuarial studies. Mixtures of distributions are also of great preeminence in such areas as most populations of components are indeed heterogeneous.
Bar-Lev, Shaul K., Letac, Gérard
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An algorithm for approximation of Bazier surfaces for special case of quadriangular grid
This paper proposes an algorithm for construction of C2 surface. The input is a 3D quadrangular surface which doesn't have adjacent extraordinary points.
Martynas Sabaliauskas
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We show that the predicted probability distributions for any N-parameter statistical model taking the form of an exponential family can be explicitly and analytically embedded isometrically in a N+N-dimensional Minkowski space.
Han Kheng Teoh +5 more
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Information Aggregation in Exponential Family Markets
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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Delirium is a clinical syndrome occurring in heterogeneous patient populations. It affects 45–87% of critical care patients and is often associated with adverse outcomes including acquired dementia, institutionalisation, and death. Despite an exponential
Emily M. L. Bowman +3 more
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A new variance estimation in natural exponential families
This article focuses on improving the estimation of population variances for natural exponential family distributions, drawing inspiration from the innovative idea presented by Stein.
Arampamoorthy Laheetharan +1 more
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