A Note on the Residual Lifetimes in a Life-Test Under Progressive Type-Ii Right Censoring Scheme

Abstract

Suppose that n independent and identically distributed items have been placed in a life-test with Progressive Type-II censoring scheme (R-1, R-2, ..., R-m). In this paper, we investigate some characterizations and ordering results based on the residual lifetimes of the remaining items following the k(th) failure in the test. Keywords: Mean Residual Life, Generalized Pareto Distribution, Residual Life Length, Characterization, Stochastic Ordering.