Stochastic Limit Theory
An Introduction for Econometricicans
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The functional central limit theorem and its ramifications are covered in detail, including an account of the theoretical underpinnings (the weak convergence of measures on metric spaces), Brownian motion, the multivariate invariance principle, and convergence to stochastic integrals. This material is of special relevance to the theory of cointegration.
A handbook and reference for academic econometricians and advanced graduate students. The book provides a coherent account of recent contributions to limit theory, with particular emphasis on the issues of date dependence and heterogeneity. It also provides a grounding in the requisite mathematics and probability theory, which will allow readers with limited mathematical training to make use of the material.
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