Results 11 to 20 of about 1,642 (193)

Asymptotic standard errors for reliability coefficients in item response theory [PDF]

British Journal of Mathematical and Statistical Psychology, Volume 79, Issue 3, Page 702-719, November 2026.
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   +2 more sources

The Optimal Quadrature Formula of Approximate Calculation of Curvilinear Integral of First Kind for Some Classes of Functions and Curves

Моделирование и анализ информационных систем, 2013
In this paper is considered the extreme problem of searching for the optimal quadrature formulas in S.M. Nikolskiy sense for approximate calculation of curvilinear integrals of first kind on the class of differentiable functions, the second gradient norm
K. Tukhliev
doaj   +3 more sources

A New First Order Expansion Formula with a Reduced Remainder

Axioms, 2022
This paper is devoted to a new first order Taylor-like formula, where the corresponding remainder is strongly reduced in comparison with the usual one, which appears in the classical Taylor’s formula.
Joel Chaskalovic, Hessam Jamshidipour
doaj   +1 more source

Estimates of the error of interval quadrature formulas on some classes of differentiable functions

Researches in Mathematics, 2020
The exact value of error of interval quadrature formulas $$\int_0^{2\pi}f(t)dt -\frac{\pi}{nh}\sum_{k=0}^{n-1}\int_{-h}^hf(t+\frac {2k\pi}{n})dt = R_n(f;\vec{c_0};\vec{x_0};h)$$ obtained for the classes $W^rH^{\omega} (r=1,2,...)$ of differentiable ...
V.P. Motornyi, D.A. Ovsyannikov
doaj   +1 more source

Polynomial Spline Collocation Method for Solving Weakly Regular Volterra Integral Equations of the First Kind

Известия Иркутского государственного университета: Серия "Математика", 2022
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels.
Aleksandr Tynda, Samad Noeiaghdam, Denis Sidorov   +2 more
doaj   +1 more source

Optimal Numerical Integration

Кібернетика та комп'ютерні технології, 2020
Introduction. In many applied problems, such as statistical data processing, digital filtering, computed tomography, pattern recognition, and many others, there is a need for numerical integration, moreover, with a given (often quite high) accuracy ...
V.K. Zadiraka, L.V. Luts, I.V. Shvidchenko   +2 more
doaj   +1 more source

A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes

Mathematics, 2023
A nonlinear equation f(x)=0 is mathematically transformed to a coupled system of quasi-linear equations in the two-dimensional space. Then, a linearized approximation renders a fractional iterative scheme xn+1=xn−f(xn)/[a+bf(xn)], which requires one ...
Chein-Shan Liu, Essam R. El-Zahar, Chih-Wen Chang   +2 more
doaj   +1 more source

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

Optimization of the Exponential Bounds on the Gaussian Q Function Using Interior Point Algorithm and Its Application in Communication Theory

IEEE Open Journal of the Communications Society, 2022
Owing to various applications in the field of wireless communication systems, in this paper, using vector-based interior-point algorithm, we propose a generic methodology which optimizes simple exponential based approximations of the Gaussian $Q ...
Aditya Powari, Dharmendra Sadhwani, Lalita Gupta, Ram Narayan Yadav   +3 more
doaj   +1 more source

Comparison of optimal quadrature formulas

Numerische Mathematik, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bojanov, Borislav, Huang, Daren
openaire   +1 more source