On the entropy of a class of constrained random walks

We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that when the constrained entropy approaches its unconstrained value, the rate of approach is asymptotically O((ln n)/n).

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Year of publication:	1992
Authors:	Dayan, Ido ; Gitterman, Moshe ; Weiss, George H.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 183.1992, 4, p. 508-518
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010587393