Asymptotics of the Solution of a Boundary Integral Equation Under a Small Perturbation of a Corner
Vladimir Maz’ya, Ralf Mahnke
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How to measure statistical evidence and its strength: Bayes factors or relative belief ratios?
Abstract Both the Bayes factor and the relative belief ratio satisfy the principle of evidence and are therefore valid measures of statistical evidence. Which of these measures of evidence is more appropriate? We argue here that there are questions concerning the validity of a commonly used definition of the Bayes factor based on a mixture prior, and ...
Luai Al‐Labadi +2 more
wiley +1 more source
Description of chemical systems by means of response functions. [PDF]
Franco E, Kepka B, Velázquez JJL.
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A singular integral equation method for examining asymptotic solutions of a kinked crack with infinitesimal kink length [PDF]
Y. Z. Chen, X.Y. Lin, Z. X. Wang
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A class of directed acyclic graphs with mixed data types in mediation analysis
Abstract We propose a unified class of generalized structural equation models (GSEMs) with data of mixed types in mediation analysis, including continuous, categorical, and count variables. Such models extend substantially the classical linear structural equation model to accommodate many data types arising from the application of mediation analysis ...
Wei Hao, Canyi Chen, Peter X.‐K. Song
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Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Garoufalidis S +3 more
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Subuniformity of harmonic mean p$$ p $$‐values
Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
wiley +1 more source
Finite-Size Scaling in the Ageing Dynamics of the 1D Glauber-Ising Model. [PDF]
Henkel M.
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A probabilistic diagnostic for Laplace approximations: Introduction and experimentation
Abstract Many models require integrals of high‐dimensional functions: for instance, to obtain marginal likelihoods. Such integrals may be intractable, or too expensive to compute numerically. Instead, we can use the Laplace approximation (LA). The LA is exact if the function is proportional to a normal density; its effectiveness therefore depends on ...
Shaun McDonald, Dave Campbell
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Convective stability of the critical waves of an FKPP-type model for self-organized growth. [PDF]
Kreten F.
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