An important part of the marginal maximum likelihood method described previously is the computation of the integral over the random effects. The default method in PROC NLMIXED for computing this ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...

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 Practical use of Bayesian methods usually involves obtaining certain characteristics of the posterior distribution of the parameter of ...

In this paper, we develop a method for approximating multiple integrals. The domain of integration Ω is assumed to be a non-rectangular compact of ℝⁿ. The main idea is the dimensionality reduction ...