TY - JOUR ID - 1711 TI - Characterizations on the basis of cumulative residual entropy of sequential order statistics JO - Journal of Statistical Modelling: Theory and Applications JA - JSMTA LA - en SN - 2676-7392 AU - Hashempour, Majid AU - Doostparast, Mahdi AD - Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Y1 - 2020 PY - 2020 VL - 1 IS - 2 SP - 37 EP - 46 KW - Cumulative residual entropy KW - Sequential order statistics KW - Residual lifetime DO - 10.22034/jsmta.2020.1711 N2 - This article deals with the problem of characterizing the parent distribution on the basis of the cumulative residual entropy of sequential order statistics under a conditional proportional hazard rates model. It is shown that the equality of the cumulative residual entropy in the first sequential order statistics determines uniquely the parent distribution. Subsequently, we characterize the Weibull distribution on the basis of the ratio of the cumulative residual entropy of first sequential order statistics to the corresponding mean. Also, we consider characterizations based on the dynamic cumulative residual entropy and derive some bounds for the cumulative residual entropy of residual lifetime of the sequential order statistics. UR - https://jsm.yazd.ac.ir/article_1711.html L1 - https://jsm.yazd.ac.ir/article_1711_cf2400bef2fe170e6bcbc501c700eebc.pdf ER -