Title :
Weighted cumulative entropy and its estimation
Author :
Misagh, F. ; Panahi, Y. ; Yari, G.H. ; Shahi, R.
Author_Institution :
Dept. of Math., Islamic Azad Univ., Tabriz, Iran
Abstract :
Measures of cumulative residual entropy (CRE) and cumulative entropy (CE) about predictability of failure time of a system have been introduced in [8, 4] respectively. In this paper, we propose the weighted forms of CRE and CE. These information-theoretic uncertainty measures are shift-dependent. We study various properties of these measures, including their connections with CRE and CE and weighted mean residual lifetime. We also obtain the estimators of proposed measures by means of order statistics.
Keywords :
entropy; statistical analysis; CE; CRE; cumulative residual entropy; failure time predictability; information-theoretic uncertainty measures; order statistics; weighted cumulative entropy; Educational institutions; Entropy; Measurement uncertainty; Random variables; Reliability; Uncertainty; Weight measurement; Entropy; Lifetime; order statistics;
Conference_Titel :
Quality and Reliability (ICQR), 2011 IEEE International Conference on
Conference_Location :
Bangkok
Print_ISBN :
978-1-4577-0626-4
DOI :
10.1109/ICQR.2011.6031765
