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Nonparametric predictive inference for stock returns

Baker, R.M.; Coolen-Maturi, T.; Coolen, F.P.A.

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R.M. Baker


In finance, inferences about future asset returns are typically quantified with the use of parametric distributions and single-valued probabilities. It is attractive to use less restrictive inferential methods, including nonparametric methods which do not require distributional assumptions about variables, and imprecise probability methods which generalize the classical concept of probability to set-valued quantities. Main attractions include the flexibility of the inferences to adapt to the available data and that the level of imprecision in inferences can reflect the amount of data on which these are based. This paper introduces nonparametric predictive inference (NPI) for stock returns. NPI is a statistical approach based on few assumptions, with inferences strongly based on data and with uncertainty quantified via lower and upper probabilities. NPI is presented for inference about future stock returns, as a measure for risk and uncertainty, and for pairwise comparison of two stocks based on their future aggregate returns. The proposed NPI methods are illustrated using historical stock market data.


Baker, R., Coolen-Maturi, T., & Coolen, F. (2017). Nonparametric predictive inference for stock returns. Journal of Applied Statistics, 44(8), 1333-1349.

Journal Article Type Article
Acceptance Date Jun 17, 2016
Online Publication Date Jul 3, 2016
Publication Date Jun 11, 2017
Deposit Date Jun 17, 2016
Publicly Available Date Jul 3, 2017
Journal Journal of Applied Statistics
Print ISSN 0266-4763
Electronic ISSN 1360-0532
Publisher Taylor and Francis Group
Peer Reviewed Peer Reviewed
Volume 44
Issue 8
Pages 1333-1349


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