Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...

This is a preview. Log in through your library . Abstract It is well-know that for heavy-tailed distributions the bootstrap can lead to inconsistent estimation of the distribution of the sample mean; ...

Asymptotic analysis provides a set of powerful techniques for approximating solutions to differential equations, particularly in cases where exact solutions are elusive. This approach is critical when ...

Quarterly of Applied Mathematics, Vol. 72, No. 4 (December 2014), pp. 731-745 (15 pages) An analytical approach is proposed to study the contribution of edge effects in the multiple high-frequency ...

Asymptotic expansions of integrals. Regular and singular perturbation methods for ordinary and partial differential equations. Boundary layer theory. Matched asymptotic expansions. Homogenization. Two ...

This work establishes the first asymptotic stability result for multi-wave patterns in damped wave equations with partially linearly degenerate flux. The authors prove that global solutions converge ...

The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound ...

Exact statistics can be useful in situations where the asymptotic assumptions are not met, and so the asymptotic p-values are not close approximations for the true p-values. Standard asymptotic ...

PROC NPAR1WAY provides exact p-values for tests for location and scale differences based on the following scores: Wilcoxon, median, van der Waerden, Savage, Siegel-Tukey, Ansari-Bradley, Klotz, and ...