Unit information: Statistical Asymptotics in 2010/11

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Unit name Statistical Asymptotics
Unit code MATHM6010
Credit points 10
Level of study M/7
Teaching block(s) Academic Year (weeks 1 - 52)
Unit director Dr. Didelez
Open unit status Not open
Pre-requisites

None

Co-requisites

None

School/department School of Mathematics
Faculty Faculty of Science

Description including Unit Aims

This unit has the twin aims of introducing students to asymptotic theory and developing their practical skills in using asymptotic approximations. Topics covered may include multivariate central limit theorem, the continuous mapping theorem, the delta method, likelihood asymptotics, Laplace's approximation and an introduction to Edgeworth expansions and saddlepoint density approximations. Prerequisites are a basic undergraduate knowledge of likelihood methods and univariate limit theorems, and a working knowledge of Taylor expansion methods and different modes of convergence.