ABSTRACT

Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptoti

chapter 1|22 pages

Introduction

chapter 2|52 pages

General series methods

chapter 4|44 pages

The delta method and its extensions

chapter 5|50 pages

Optimality and likelihood asymptotics

chapter 6|34 pages

The Laplace approximation and series

chapter 7|52 pages

The saddle-point method

chapter 8|42 pages

Summation of series

chapter 9|4 pages

Glossary of symbols

chapter 10|2 pages

Useful limits, series and products