Shaw’s stored information as a quantitative measure of sequential structure

In this paper, we describe a method to study the sequential structure in interevent times. The technique uses the stored information of an iterative map developed by-Shaw (1984). The stored information is a quantitative measure of the sequential organization or predictability in data. This paper discusses the concept of stored information and provides a FORTRAN routineto compute the stored information of interevent time data. Several synthetic data sets with known sequential structures are examined. Finally, we present some initial results from computing the stored information of experimental interresponse time data.

[1]  Robert B. Ash,et al.  Information Theory , 2020, The SAGE International Encyclopedia of Mass Media and Society.

[2]  D. S. Jones,et al.  Elementary information theory , 1979 .

[3]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[4]  James Gleick,et al.  Chaos, Making a New Science , 1987 .

[5]  W. Palya Dynamics in the fine structure of schedule-controlled behavior. , 1992, Journal of the experimental analysis of behavior.

[6]  Robert Shaw,et al.  The Dripping Faucet As A Model Chaotic System , 1984 .

[7]  Masud Mansuripur,et al.  Introduction to information theory , 1986 .

[8]  David J. Israel,et al.  What is information , 1990 .

[9]  Frank C. Mahncke Making a New Science , 1988 .

[10]  G. A. Miller What is information measurement , 1953 .