The future value of a security is described as a random variable. Distribution of this random variable is the formal image of risk uncertainty. On the other side, any present value is defined as a value equivalent to the given future value. This equivalence relationship is a subjective. Thus...

The return rate in imprecision risk may be described as a fuzzy probabilistic set (Piasecki, 2011a). Properties of this return are considered in (Piasecki, 2011b) for any probability distribution of future value. On the other side, in (Piasecki, Tomasik, 2013) is shown that the Normal Inverse...

In the paper the authors presented analysis of fitting the following distributions: normal, t-Student, α-stable, hyperbolic, generalized hyperbolic, normal inverse Gaussian, generalized hyperbolic t-Student and general error distribution to the empirical series of WIG20 returns in the situation...