A flexible representation of uncertainty that remains within the standard framework of probabilistic measure theory is presented along with a study of its properties. This representation relies on a specific type of outer measure that is based on the measure of a supremum, hence combining additive and highly sub-additive components. It is shown that this type of outer measure enables the introd...

We consider the concept of generalized Kolmogorov–Sinai entropy, where instead of the Shannon entropy function, we consider an arbitrary concave function defined on the unit interval, vanishing in the origin. Under mild assumptions on this function, we show that this isomorphism invariant is linearly dependent on the Kolmogorov–Sinai entropy.

Metric entropy of the class of probability distribution functions on [0, 1] with a k-monotone density is studied through its connection with the small ball probability of k-times integrated Brownian motions.

in this research the effect of randomly reinforced soil and soil cement with different percent of cement and fiber and different length of fiber was investigated. samples were prepared according to the maximum dry unit weight and optimum water content due to the corresponding compaction curves. compressive and tensile strength were conducted on samples for different curing times. regression equ...