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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

THE STRUCTURE OF PRIORS' SET OF EQUIVALENT MEASURES

THE STRUCTURE OF PRIORS' SET OF EQUIVALENT MEASURES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2016, v.23 no.4, pp.339-345
https://doi.org/10.7468/jksmeb.2016.23.4.339
Kim, Ju Hong (Department of Mathematics, Sungshin Women's University)

Abstract

The set of priors in the representation of Choquet expectation is expressed as the one of equivalent martingale measures under some conditions. We show that the set of priors, $\mathcal{Q}_c$ in (1.1) is the same set of $\mathcal{Q}^{\theta}$ in (1.3).

keywords
set of priors, conditional expectation, Bayes' formular, Radon-Nikodym derivative, stopping time

한국수학교육학회지시리즈B:순수및응용수학