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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Exchangeability and the law of maturity

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Author(s):
Bonassi, Fernando V. [1] ; Stern, Rafael B. [2] ; Peixoto, Claudia M. [3] ; Wechsler, Sergio [3]
Total Authors: 4
Affiliation:
[1] Google Inc, Mountain View, CA 94043 - USA
[2] Carnegie Melon Univ, Dept Stat, Pittsburgh, PA 15217 - USA
[3] Univ Sao Paulo, Inst Matemat Estat, Sao Paulo, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: THEORY AND DECISION; v. 78, n. 4, p. 603-615, APR 2015.
Web of Science Citations: 0
Abstract

The law of maturity is the belief that less-observed events are becoming mature and, therefore, more likely to occur in the future. Previous studies have shown that the assumption of infinite exchangeability contradicts the law of maturity. In particular, it has been shown that infinite exchangeability contradicts probabilistic descriptions of the law of maturity such as the gambler's belief and the belief in maturity. We show that the weaker assumption of finite exchangeability is compatible with both the gambler's belief and belief in maturity. We provide sufficient conditions under which these beliefs hold under finite exchangeability. These conditions are illustrated with commonly used parametric models. (AU)

FAPESP's process: 03/10105-2 - Temporal series, analysis of dependency and applications in actuarial science and finance
Grantee:Pedro Alberto Morettin
Support Opportunities: PRONEX Research - Thematic Grants