Exchangeability and the law of maturity

@article{Bonassi2015ExchangeabilityAT,
  title={Exchangeability and the law of maturity},
  author={Fernando V. Bonassi and Rafael Bassi Stern and Cl{\'a}udia M. Peixoto and Sergio Wechsler},
  journal={Theory and Decision},
  year={2015},
  volume={78},
  pages={603-615}
}
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… 

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References

SHOWING 1-10 OF 17 REFERENCES

The Gambler's and Hot-Hand Fallacies: Theory and Applications

We develop a model of the gambler's fallacy (the mistaken belief that random sequences should exhibit systematic reversals). We show that an individual who holds this belief and observes a sequence

The retrospective gambler's fallacy: Unlikely events, constructing the past, and multiple universes

The gambler's fallacy (Tune, 1964) refers to the belief that a streak is more likely to end than chance would dictate. In three studies, participants exhibited a \textit{retrospective gambler's

A note on extendibility and predictivistic inference in finite populations

The usual finite population model—where information provided by a subset of units is used to reduce uncertainty about functions of the complete population list of values—is explored from a

An effect of inter-trial duration on the gambler's fallacy choice bias

Bayesian analysis of a correlated binomial model

In this paper a Bayesian approach is applied to the correlated binomial model, CB(n,p,ρ), proposed by Luceno (Comput. Statist. Data Anal. 20 (1995) 511–520). The data augmentation scheme is used in

A discrete Bayes explanation of a failure-rate paradox

A simpler version of the explanation given by R.E. Barlow (see ibid., vol.R-34, p.107-8, June 1985) for the exponential failure rate paradox is presented. The discrete counterpart of the model is

Operational parameters in Bayesian models

TLDR
Under what conditions operational parameters can be used in place of the usual formal parameters and the advantages of doing this are discussed.

A note on bayesian estimation and prediction for the beta-binomial model

The beta-binomial model which is generated by a simple mixture model has been widely applied in the social, physical, and health sciences. Lee and Sabavala (1987) proposed a Bayesian approach with a

Consumer Value-Maximizing Sweepstakes and Contests

Sweepstakes and contests are some of the most frequently used promotional tools. Consumers participating in sweepstakes or contests have an opportunity to win prizes through a random draw. The

Sums of Possibly Associated Bernoulli Variables: The Conway-Maxwell-Binomial Distribution

The study of sums of possibly associated Bernoulli random variables has been hampered by an asymmetry between positive correlation and negative correlation. The Conway-Maxwell Binomial (COMB)