Results 51 to 60 of about 1,208 (218)

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj   +1 more source

Quadrature Formulas for the Wiener Measure

Journal of Complexity, 1999
This paper is concerned with path integrals \(I_\infty (f) =\int _Cf(x) dw(x)\) with respect to the Wiener measure on \(C=C[0,1]\). The author presents a new method for the approximation of \(I_\infty (f)\) by means of a sequence \((A_s)_{s=1,2,\dots }\) of quadrature formulas with the error bound \[ \sup _{f\in {\mathcal F} }|I_\infty (f) -A_s(f) |
openaire   +2 more sources

Quadrature formula for computed tomography

Journal of Approximation Theory, 2010
The authors present a Gaussian quadrature formula for integrals of the form \[ \int_B f(x,y) U_n(x\cos\theta+y\sin\theta)\,dx\,dy \] over the unit disk \(B\) for the Chebyshev polynomials \(U_n\) of second kind. The formula involves \(n\) Radon projections on \(B\), has the maximal degree \(3n+1\) of precision, and is unique by this property. It may be
Bojanov, Borislav, Petrova, Guergana
openaire   +2 more sources

From tetrachoric to kappa: How to assess reliability on binary scales

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source

Research on Optimal Quadrature Problems in the ${\mathit{W}}_{\mathbf{2}}^{\mathbf{(}\mathbf{9}\mathbf{,}\mathbf{0}\mathbf{)}}$ Space

Axioms
In this paper, we derive an explicit expression for the coefficients of optimal quadrature formulas that are exact for exponential trigonometric functions in the W2(9,0) space.
Ying Yang, Xuehua Li
doaj   +1 more source

Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space [PDF]

E3S Web of Conferences
The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate ...
Bozarov Bakhromjon, Daliyev Bakhtiyor, Tukxtasinov Dadakhon, Nasriddinov Otadavlat, Ruzimatova Makhfuza, Botirova Nasiba   +5 more
doaj   +1 more source

Asymptotic standard errors for reliability coefficients in item response theory

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract In a recent review, Liu et al. (Psychological Methods, 2025b) classified reliability coefficients into two types: classical test theory (CTT) reliability and proportional reduction in mean squared error (PRMSE). This article focuses on quantifying the sampling variability of these coefficients under item response theory (IRT) models.
Youjin Sung, Yang Liu
wiley   +1 more source

Computation of certain integral formulas involving generalized Wright function

Advances in Difference Equations, 2020
The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as
Nabiullah Khan, Talha Usman, Mohd Aman, Shrideh Al-Omari, Serkan Araci   +4 more
doaj   +1 more source

Composite marginal likelihood estimation of higher‐order diagnostic classification models under high dimensionality

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Although full‐information maximum likelihood (FIML) estimation is widely used for diagnostic classification models (DCMs), its computational efficiency deteriorates sharply in high‐dimensional settings. This scalability challenge is increasingly critical as DCMs are applied to large‐scale assessments, psychological testing and longitudinal ...
Minho Lee, Yon Soo Suh
wiley   +1 more source

The numerical solution of an Abel integral equation by the optimal quadrature formula

Results in Applied Mathematics
In this study, a novel and efficient approach utilizing optimal quadrature formulas is introduced to derive approximate solutions for generalizing Abel’s integral equations. The method, characterized by high accuracy and simplicity, involves constructing
Abdullo Hayotov, Samandar Babaev, Bobomurod Boytillayev   +2 more
doaj   +1 more source