Asymptotic properties of numbers of near minimum observations under progressive Type-II censoring

In this paper, some results of Pakes and Steutel [1997. On the number of records near the maximum, Austral. J. Statist. 39, 179–193] on the properties of the numbers of near order statistic observations are extended to the case of progressively Type-II censored data. In this way, we introduce the notion of the numbers of near minimum observations under progressive censoring. We derive distributional and asymptotic results for them and discuss …