Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses
Entropy, 1999 : A Bayesian measure of evidence for precise hypotheses is presented. The intention is to give a Bayesian alternative to significance tests or, equivalently, to p-values. In fact, a set is defined in the parameter space and the posterior probability, its
Julio Michael Stern +1 more
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Numerical Integration of Peak Functions
Journal of Complexity, 1996 Numerical integration of monotone and unimodal positive functions is considered. Adaptive and nonadaptive methods are studied in the worst case setting. Adaptation significantly helps for the class of unimodal functions, but not for the class of monotone functions. The methods are reliable for nonsmooth and discontinuous functions as well.
Erich Novak, Ingo Roschmann
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Reliability of systems with randomly varying parameters by the path integration method [PDF]
, 2011 The paper considers a first passage time reliability problem for systems subjected to multiplicative and additive white noises. For numerical calculations of the reliability function and the first passage time the path integration method is properly ...
Yurchenko, Daniil +5 more
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Tracking fluctuating targets in extremely heterogeneous clutter using amplitude information
The Journal of Engineering, 2019 This study analyses the radar fluctuating target detection in G(0)-distributed clutter using dynamic programming – track before detect (DP-TBD) algorithm. G(0)-distributed clutter is often used to fit the complex circumstances. The authors use chi-square
Feng Li +4 more
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A numerical integration-based Kalman filter for moderately nonlinear systems
Tellus: Series A, Dynamic Meteorology and Oceanography, 2020 This paper introduces a computationally efficient data assimilation scheme based on Gaussian quadrature filtering that potentially outperforms current methods in data assimilation for moderately nonlinear systems.
Sarah A. King +2 more
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Approximation of the Stieltjes Integral and Applications in Numerical Integration [PDF]
, 2003 Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand.
Cerone, Pietro, Dragomir, Sever S
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Taylor Polynomials in a High Arithmetic Precision as Universal Approximators
ComputationFunction approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates
Nikolaos Bakas
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Feedback Integrators for Mechanical Systems with Holonomic Constraints
Sensors, 2022 The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve ...
Dong Eui Chang +2 more
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Original Approaches for Solving Electromagnetic Interference Problems
Advances in Electrical and Computer Engineering, 2009 The accurate calculation of the current densities induced in layered soil by HV transmission lines in normal conditions is one of the most important steps in the study of the electromagnetic interference between transmission lines and underground ...
CHRISTOFORIDIS, G. C. +4 more
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