Continuous Tsallis and Renyi extropy with pharmaceutical market application

• DOI: 10.3934/math.20231233
• Publication Date: 2023-08-14T10:15:02Z
• Authors: Mohamed Said Mohamed; Najwan Alsadat; Oluwafemi Samson ...
• Keywords: Economics and Econometrics; Social Sciences; Geometry; non-parametric estimation; Econophysics: Complexity in Financial Markets; Tsallis statistics; renyi entropy; Statistical Mechanics with Long-Range Interactions and Nonextensivity; QA1-939; FOS: Mathematics; Series (stratigraphy); Connection (principal bundle); Data mining; Biology; tsallis entropy; Physics; Statistics; Paleontology; Statistical and Nonlinear Physics; Measure (data warehouse); Applied mathematics; Computer science; Economics, Econometrics and Finance; Physics and Astronomy; Modeling and Forecasting Financial Volatility; Parametric statistics; Physical Sciences; Statistical physics; extropy; time series; Tsallis entropy; Finance; Tsallis Statistics; Mathematics

<abstract><p>In this paper, the Tsallis and Renyi extropy is presented as a continuous measure of information under the continuous distribution. Furthermore, the features and their connection to other information measures are introduced. Some stochastic comparisons and results on the order statistics and upper records are given. Moreover, some theorems about the maximum Tsallis and Renyi extropy are discussed. On the other hand, numerical results of the non-parametric estimation of Tsallis extropy are calculated for simulated and real data with application to time series model and its forecasting.</p></abstract>