SOME THEORY OF STATISTICAL-INFERENCE FOR NONLINEAR SCIENCE

被引:17
|
作者
BROCK, WA [1 ]
BAEK, EG [1 ]
机构
[1] IOWA STATE UNIV SCI & TECHNOL,AMES,IA 50011
来源
REVIEW OF ECONOMIC STUDIES | 1991年 / 58卷 / 04期
基金
美国国家科学基金会;
关键词
D O I
10.2307/2297828
中图分类号
F [经济];
学科分类号
02 ;
摘要
This article shows how standard errors can be estimated for a measure of the number of excited degrees of freedom (the correlation dimension), and a measure of the rate of information creation (a proxy for the Kolmogorov entropy), and a measure of instability. These measures are motivated by nonlinear science and chaos theory. The main analytical method is central limit theory of U-statistics for mixing processes. The paper takes a step toward formal hypothesis testing in nonlinear science and chaos theory. © 1991 The Review of Economic Studies Limited.
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页码:697 / 716
页数:20
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