Abstract
In this chapter, a case is studied in which the appreciation rates, volatilities, and their prior distributions are unknown. The optimal investment problem is stated as a problem with a maximin performance criterion. This criterion is to ensure that a strategy is found such that the utility minimum over all distributions of parameters is maximal. It is shown that the duality theorem holds for the problem. Thus, the maximin problem is reduced to the minimax problem. This minimax problem is computationally a much easier problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Dokuchaev, N. (2002). Unknown Distribution: Maximin Criterion and Duality Approach. In: Dynamic Portfolio Strategies: Quantitative Methods and Empirical Rules for Incomplete Information. International Series in Operations Research & Management Science, vol 47. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0921-9_12
Download citation
DOI: https://doi.org/10.1007/978-1-4615-0921-9_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-7648-4
Online ISBN: 978-1-4615-0921-9
eBook Packages: Springer Book Archive