Credibility theory oriented sign test for imprecise observations and imprecise hypotheses

Abstract

This paper extends the sign test to the case where the available observations and underlying hypotheses about the population median are imprecise quantities, rather than crisp. To do this, the associated test statistic is extended, using some elements of credibility theory. Finally, to reject or accept the null hypothesis of interest, we extend the concept of classical p-value. © 2013 Springer-Verlag.