Some new results on the Rényi quantile entropy Ordering

Varma Quantile Entropy Order

“…In other words, the residual entropy of X measures the uncertainty of the residual life of X t . Some interesting results concerning the residual entropy can be found in [7], [8], [10], [16], [19], [20], [40] and in many other papers.…”

“…In [32] was introduced a quantile version of Shannon residual entropy and in [20] and [40] this idea was generalized for Rényi residual entropy. We continue this work for Varma residual entropy, defining…”

Further Results on the IDCPE Class of Life Distributions

“…Refer to the research of Kang and Yan [22], Yan and Kang [23], for a real-valued function defined on an interval…”

“…Below we investigate the preservation in a proportional hazard rate model. For more details about the model, one can refer to Nanda and Paul [11], Abbasnejad et al [14], Shaked and Shanthikumar [41], Kang and Yan [22], and Yan and Kang [23].…”

“…It was introduced by Shannon [2] and Wiener [3], and developed subsequently by Ebrahimi and Pellerey [4], Ebrahimi [5], Ebrahimi and Kirmani [6], Crescenzo and Longobardi [7], Navarro et al [8], etc. Furthermore, some generalizations of H X have been proposed, see, for example, Di Crescenzo and Longobardi [9,10], Nanda and Paul [11][12][13], Abbasnejad et al [14], Kundu et al [15], Kumar and Taneja [16], Khorashadizadeh et al [17], Nanda et al [18], Kayal [19], Vineshkumar [20], Kang [21], Kang and Yan [22], Yan and Kang [23], and others.…”