Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...

Twenty-five particles and four forces. That description — the Standard Model of particle physics — constitutes physicists’ best current explanation for everything. It’s neat and it’s simple, but no ...

Journal of the Royal Statistical Society. Series D (The Statistician), Vol. 48, No. 4 (1999), pp. 477-493 (17 pages) Many papers have addressed the problem of fitting a straight line to a set of ...

The Journal of Business & Economic Statistics (JBES) has been published quarterly since 1983 by the American Statistical Association. It serves as a unique meeting place for applied economists, ...

For a static model of n individuals generated by heavy-tailed losses, under the assumption that there exist asymptotic independence and dependence structures between the losses, we derive asymptotic ...

Building on ES_APPM 420-1, this course covers advanced perturbation and asymptotic methods. They may include methods for ordinary differential equations (e.g. WKB method), for integrals (e.g.