03037pam a2200373 a 4500 36300 36300 BJBSDDR 20230410105422.0 ta 910205s1991 mau 000 0 eng 0262023296 9780262023290 2959050 DLC DLC spa spa HB 145 B864n 1991 330/.01/515252 20 Brock, William A. Nonlinear dynamics, chaos, and instability : statistical theory and economic evidence / William A. Brock, David A. Hsieh, Blake LeBaron. Cambridge, Mass. : MIT Press, c1991. xiv, 328 pages : ill. ; 24 cm. Includes bibliographical references (p. [280]-313) and index. Chaos theory has touched on such fields as biology, cognitive science, and physics. By providing a unified and complete explanation of new statistical methods that are useful for testing for chaos in data sets, Brock, Hsieh, and LeBaron show how the principles of chaos theory can be applied to such areas of economics and finance as the changing structure of stock returns and nonlinearity in foreign exchange. They use computer models extensively to illustrate their ideas and explain this frontier research at a level of rigor sufficient for others to build upon as well as to verify the soundness of their arguments.The authors, who have played a major role in developing basic testing methods that are effective in detecting chaos and other nonlinearities, provide a detailed exposition of empirical techniques for identifying evidence of chaos. They introduce and describe the BDS statistic, an easy-to-use test that detects the existence of potentially forecastable structure, nonstationarity, or hidden patterns in time-series data and that can be adapted to test for the adequacy of fit of forecasting models. An extensive performance evaluation of the BDS is included.Nonlinear Dynamics, Chaos, and Instability also reviews important issues in the theoretical economics literature on chaos and complex dynamics, surveys existing work on the detection of chaos and nonlinear structure, and develops models and processes to discover predictable sequencing in time-series data, such as stock returns, that currently appear random.William A. Brock is Vilas Research Professor of Economics and Blake LeBaron is Assistant Professor of Economics, both at the University of Wisconsin, Madison. David A. Hsieh is Professor of Business at the Fuqua School of Business, Duke University. Statics and dynamics (Social sciences) Estática. 7344 Dinámica 19990 Economics, Mathematical. Economía, matemática 1138 Differential equations, Nonlinear. Ecuaciones diferenciales 19989 Chaotic behavior in systems. Hsieh, David A. (David Arthur), 1953- 19985 LeBaron, Blake Dean, 1961- 19986 lcc BK 0 0 0 0 CS BJB BJB CS 2023-04-10 0 HB145 B864n 1991 00000110401 2018-10-24 00:00:00 1 2018-10-24 BK