Likelihood ratio comparisons among spacings related to both one or two samples

Comparisons between largest order statistics from multiple-outlier models

“…For stochastic comparison relations of order statistics and spacings from single-outlier and multiple-outlier exponential models, one may refer to Khaledi and Kochar,[2] Kochar and Xu, [3] Zhao and Balakrishnan, [4] Zhao and Zhang, [5] Torrado and Lillo, [6] Barmalzan et al, [7] Torrado and Lillo [8] and the references therein. In particular, Zhao and Balakrishnan [4] ) ⇔ X n:n (λ 1 , λ 2 , p, q) ≥ lr [≥ rh ]X n:n (λ * 1 , λ * 2 , p, q),…”

On the Increasing Convex Order of Relative Spacings of Order Statistics

“…have found applicability in fields such as reliability, auction theory, insurance, economics and other areas of applied mathematics. Given two probability models, it is often of interest to study which one has larger spacings under different probabilistic criteria (see, e.g., Kochar [1], Kochar and Rojo [2], Hu and Wei [3], Kochar et al [4], Kochar and Xu [5], Genest et al [6], Mao and Hu [7], Zhao and Zhang [8], Torrado and Lillo [9], Belzunce et al [10] and Ding et al [11]). There has been less research conducted on the comparison of relative spacings, which is the focus of this paper.…”