非線形手法と行動計量学

Abstract

We are now observing quick and vast development of new non-linear methods for data analysis such as chaos and neural network in various scientific research fields. Those methods are also regarded as basic tools for the analysis in a still vaguely-defined research area called“complexity”It can be said that the development of such non-linear methodologies is no doubt inspired by recent rapid progress of high-speed computing facilities and graphical representation devices. The aim of the present article is two-fold. The first is to give a review of some recent development of chaos and artificial neural network(ANN)from a statistical viewpoint. Fundamental ideas and main features of chaos and ANN are shown with some illustrations of computer simulation. The second thing is, on the basis of past development of such methodologies, to mention some research topics which would be carried out near future in behaviormetrics and also in statistics, although such collection is of the author's personal view. In bibliography given at the end of the present article, research articles and review papers concerning non-linear methods appeared in main statistical journals after 1990 were collected and shown with short comments. Publications upon“complexity”for academic as well as for general readers are also listed. The list would be helpful for the reader to understand the basic idea of complexity and also to proceed his/her own research as well.