Results 11 to 20 of about 24,751 (244)
Kernel Ordinary Differential Equations [PDF]
Journal of the American Statistical Association, 2021 Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations. We do not assume the functional forms in ODE to be known, or restrict them to be linear or additive, and we allow ...
Dai, Xiaowu, Li, Lexin
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Evaluating Equating Transformations in IRT Observed-Score and Kernel Equating Methods. [PDF]
Appl Psychol Meas, 2023 Test equating is a statistical procedure to ensure that scores from different test forms can be used interchangeably. There are several methodologies available to perform equating, some of which are based on the Classical Test Theory (CTT) framework and others are based on the Item Response Theory (IRT) framework.
Leôncio W, Wiberg M, Battauz M.
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Coagulation‐Fragmentation Equations with Multiplicative Coagulation Kernel and Constant Fragmentation Kernel [PDF]
Communications on Pure and Applied Mathematics, 2021 AbstractWe study a critical case of coagulation‐fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. Our method is based on the study of viscosity solutions to a new singular Hamilton‐Jacobi equation, which results from applying the Bernstein transform to the original coagulation‐fragmentation equation.
Tran, Hung V., Van, Truong-Son
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Dual Integral Equations with Trigonometric Kernels [PDF]
Proceedings of the Edinburgh Mathematical Society, 1966 Consider the dual equationswhere
Singh, Brij M., Dhaliwal, Ranjit S.
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Degenerate Kernel Method for Hammerstein Equations [PDF]
Mathematics of Computation, 1991 The classical method of the degenerate kernel method is applied to numerically solve the Hammerstein equations. Several numerical examples are given to demonstrate the effectiveness of the current method. A brief discussion of a number of methods to decompose the kernel is also included.
Hideaki Kaneko, Yuesheng Xu
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Eğitimde ve Psikolojide Ölçme ve Değerlendirme Dergisi, 2021 The present study aims to compare the Kernel equating and Kernel local equating methods in observed score equating. Functions and error estimates regarding the difference between raw and equated scores and the scores equated by Stocking-Lord and Haebara true-score equating methods in Kernel local equating and Kernel equating were examined in Item ...
Merve YILDIRIM SEHERYELİ +2 more
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Local Observed‐Score Kernel Equating
Journal of Educational Measurement, 2014 Three local observed‐score kernel equating methods that integrate methods from the local equating and kernel equating frameworks are proposed. The new methods were compared with their earlier counterparts with respect to such measures as bias—as defined by Lord's criterion of equity—and percent relative error.
Wiberg, Marie +2 more
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Fredholm‐Volterra integral equation with potential kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm‐Volterra integral equation of the first kind in the space L2(Ω) × C(0, T), , z = 0, and T < ∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to
M. A. Abdou, Alaa A. El-Bary
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The Ginibre ensemble of real random matrices and its scaling limits [PDF]
, 2008 We give a closed form for the correlation functions of ensembles of a class of asymmetric real matrices in terms of the Pfaffian of an antisymmetric matrix formed from a $2 \times 2$ matrix kernel associated to the ensemble.
Borodin, Alexei, Sinclair, Christopher D
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On Integral Equations with Discontinuous Kernels [PDF]
Transactions of the American Mathematical Society, 1928 when the kernel presents certain features of finite discontinuity along the line t=-r. Kernels of this kind are typified by the Green's functions of ordinary differential equations with boundary conditions, and it was first noticed by Birkhoff that this fact might serve as a basis for the development of a theory of integral equations of this type.
J. D. Tamarkin, Rudolph E. Langer
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