This paper proposes nonparametric estimates for the two information measures extropy and entropy when a progressively …

extropy measure can be used for this purpose. Regarding signed serial dependence in categorical time series, we consider three …

Abstract Extropy was introduced as a dual complement of the Shannon entropy. In this investigation, we consider failure … extropy and its dynamic version. Various basic properties of these measures are presented. It is shown that the dynamic … failure extropy characterizes the distribution function uniquely. We also consider weighted versions of these measures …

Abstract Recently, A. S. Krishnan, S. M. Sunoj and N. U. Nair [Some reliability properties of extropy for residual and … past lifetime random variables, J. Korean Stat. Soc. 2020, 10.1007/s42952-019-00023-x] introduced past extropy for … measuring uncertainty contained in past lifetime of random variables. In the present study, we focus on the past extropy of k …

extropy measure can be used for this purpose. Regarding signed serial dependence in categorical time series, we consider three …

Abstract The main focus of this article is on the study of properties and characterizations of dynamic survival extropy … and a nonparametric estimator based on the kernel are proposed for survival extropy and scaled dynamic survival extropy … respectively. These estimators could also be utilized to estimate the measures related to dynamic survival extropy, such as the …

Abstract Recently, entropy and extropy-based tests for the uniform distribution have attracted the attention of some … researchers. This paper proposes nonparametric entropy and extropy estimators based on progressive type-II censoring and … investigates their properties and behavior. Performance of the proposed estimators is studied via simulations. Entropy and extropy …

solving the problem of irreversibility. This approach shows that extropy, the fundamental thermodynamic variable introduced by … irreversible processes. Since extropy explicitly contains in its definition all the general thermodynamic forces that drive … irreversible processes, extropy is the suitable physical measure of irreversibility. …

solving the problem of irreversibility. This approach shows that extropy, the fundamental thermodynamic variable introduced by … irreversible processes. Since extropy explicitly contains in its definition all the general thermodynamic forces that drive … irreversible processes, extropy is the suitable physical measure of irreversibility. …

name extropy. The introduction of extropy allows us to formulate the Second Law in a more suitable and precise form, and it … resolves some conceptual difficulties related to the interpretation of entropy. We point out that extropy has a fundamental …