. Inference 139 2009, 12, 4072–4087] proposed the cumulative entropy (CE) as an alternative to the differential entropy. They …

Abstract In the present work, we investigate the applications of cumulative entropy as a tool in income analysis. The … relationships the cumulative entropy has with income gap ratio, Lorenz curve, Gini index, Bonferroni curve and Zenga curve are …

extremely U-shaped (= bipolar) distribution. Under the constraint of fixed mean and variance. maximizing the cumulative entropy …

extremely U-shaped (= bipolar) distribution. Under the constraint of fixed mean and variance. maximizing the cumulative entropy …

of a phi-entropy and a cumulative entropy gives the new 'cumulative paired phi-entropy' (CPE ). With some modifications …

This paper develops a cumulative entropy method (CEM) to recognize the most suitable distribution for model error. In … codes of Japan (AIJ, 1997), China (DL/T, 1999), the Eurocode 4 (EU4, 2004), and United States (AISC, 2005). The cumulative … entropy method is validated as more computationally efficient than the Shannon entropy method. Compared with the Kolmogorov …

the future but can also refer to the past. A measure of uncertainty in this context is the cumulative entropy defined for …