Results 11 to 20 of about 1,515 (219)
On a class of integral equations with discontinuous kernels [PDF]
Transactions of the American Mathematical Society, 1927 This paper is given to the discussion of the integral equation in which the kernel K(x, t) is continuous, but possesses first partial derivatives which are discontinuous along the line t = x. It is closely related to a previous papert in which the case of a discontinuous kernel has been treated.
Rudolph E. Langer, Eleanor P. Brown
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A Review of Test Equating Methods with a Special Focus on IRT-Based Approaches
Statistica, 2018 The overall aim of this work is to review test equating methods with a particularly detailed description of item response theory (IRT) equating. Test score equating is used to compare different test scores from different test forms.
Valentina Sansivieri +2 more
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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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Performing the Kernel Method of Test Equating with the Package kequate
Journal of Statistical Software, 2013 In standardized testing it is important to equate tests in order to ensure that the test takers, regardless of the test version given, obtain a fair test.
Björn Andersson +2 more
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A Comparison of Traditional and Kernel Equating Methods
International Journal of Assessment Tools in Education, 2018 Inthis study, the equated score results of the kernel equating (KE) methodcompared with the results of traditional equating methods—equipercentile andlinear equating and 9th grade 2009 ÖBBS Form B of Social Sciences and 2009 ÖBBSForm D of Social Sciences
Selahattin Gelbal +1 more
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SNSequate: Standard and Nonstandard Statistical Models and Methods for Test Equating
Journal of Statistical Software, 2014 Equating is a family of statistical models and methods that are used to adjust scores on two or more versions of a test, so that the scores from different tests may be used interchangeably.
Jorge González
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On an Integral Equation with the Riemann Function Kernel
Axioms, 2022 This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations, and the representation of solutions of singular Sturm–Liouville and Shrödinger equations.
Sergei M. Sitnik, Abdul Ahad Arian
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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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On the Pseudo-Resolvent to the Kernel of an Integral Equations [PDF]
Transactions of the American Mathematical Society, 1912 The method developed by FredholmI for the solution of a non-homogeneous linear integral equation is comparatively simple in case the corresponding homogeneous equation admits no solutions not identically zero; in terms of the determinant and the first minor for the kernel of the given equation a resolvent function is defined, by means of which the ...
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Scattering kernels for the muon diffusion equation [PDF]
Physical Review A, 1988 Diffusion of muonic hydrogen atoms in gaseous hydrogen is studied. Scattering kernels are derived from the kinematics of an inelastic binary collision. The effect of rotations of the hydrogen molecules is treated by defining and computing an effective inelastic energy transfer Q/sub eff/.
Rusjan, Edmond, Zweifel, Paul F.
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