Likelihood ratio order of the second spacing in multiple-outlier exponential models

In this paper, we study the ordering properties of the second sample spacing arising from multiple-outlier exponential models in terms of the likelihood ratio order. Let [] be independent exponential random variables with [] having common hazard rate [] and [] having common hazard rate []. Let and denote the corresponding second sample spacing, respectively. It is proved here that is stochastically greater than in the sense of the likelihood …