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This monograph provides an insightful analysis of dynamic modelling in econometrics by bridging the structural with the time series approaches, and by focusing on representation theorems of integrated processes. The book provides mainly a self-contained, rigorous as well as innovative, analytic setting to guide formulation and solution in closed form of vector autoregressive (VAR) models with unit roots. The second edition implements the latest research work by the second author on linear matrix polynomials whence a further breakthought on the topic is gained. Its emphasis is placed on representation theorems, conjugating an elegant reappraisal of classical results with original insights which widen their information content. A unified representation theorem of new conception is established, which duly shapes the contours of the cointegration features of VAR solutions, providing not only a contribution to clarity but also new stimuli in this fascinating field of research as a spin-off.

Bayesian statistical decision theory. --- Econometric models. --- Econometrics -- Mathematical models. --- Econometrics. --- Economics. --- Sampling (Statistics). --- Econometrics --- Business & Economics --- Economic Theory --- Mathematical models --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Statistics. --- Economic theory. --- Applications of Mathematics. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Economics, Mathematical --- Statistics --- Mathematics. --- Distribution (Probability theory. --- Mathematical statistics. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Economic theory --- Political economy --- Social sciences --- Economic man --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Probabilities --- Sampling (Statistics) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Math --- Science --- Statistics . --- Probability --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Engineering --- Engineering analysis --- Mathematical analysis