Many statistical data are imprecise due to factors such as measurement errors, computation errors, and lack of information. In such cases, data are better represented by intervals rather than by single numbers. Existing methods for analyzing interval-valued data include regressions in the metric...

We describe the concepts of fuzzy probability measure and the expected value (integral) of a random vector in this framework. The main result presented here is a strong law of large numbers with respect to a fuzzy probability measure. This framework is useful in Bayesian inference with a prior...

A stationary independent increment process is an uncertain process with stationary and independent increments. This paper aims to calculate the variance of stationary independent increment processes, and gains that, for each fixed time, the variance is a constant multiplying the square of time....