Non－additive Measure in Economic Dynamics

Non convex technologies and economic efficiency measure with imprecise data

Non-Additive Entropy Measure and Record Values

Non-additive entropy measures are important for many applications. We study Havrda and Charvat entropy for record values and have shown that this characterizes the underlying distribution function uniquely. Also the non-additive entropy of record values has been derived in case of some specific distributions. Further we propose a generalized residual entropy measure for record value.

A Version of Lebesgue Decomposition Theorem for Non-additive Measure

In this paper, Lebesgue decomposition type theorems for non-additive measure are shown under the conditions of null-additivity, converse null-additivity, weak null-additivity and σ-null-additivity, etc.. In our discussion, the monotone continuity of set function is not required.

Egoroff'S Theorem On Monotone Non-Additive Measure Spaces

In this paper, the well-known Egoroff’s theorem in classical measure theory is established on monotone non-additive measure spaces. Taylor’s theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized. The converse problem of the theorems are discussed, and a necessary and sufficient condition for the Egoroff’s theorem i...

On Egoroff's theorems on finite monotone non-additive measure space

In this note, we give four versions of Egoroff’s theorem in non-additive measure theory by using the condition (E) and the pseudo-condition (E) of set function and the duality relations between the conditions. These conditions employed are not only sufficient, but also necessary for the four kinds of Egoroff’s theorem, respectively.