Suppose that n independent and identically distributed items have been placed in a life-test with Progressive Type-II censoring scheme (R1, R2, ..., Rm). In this paper, we investigate some characterizations and ordering results based on the residual lifetimes of the remaining items following the k failure in the test.

In this article, the estimation of parameters based on progressively type-II censored sample with random removals from the Weibull distribution is studied. The number of units removed at each failure time is assumed to follow a Beta-binomial distribution. Based on this type of censored sample, the maximum likelihood (ML) and approximate maximum likelihood (AML) estimators for the parameters of ...

The paper deals with the estimation problem for the generalized Pareto distribution based on progressive type-II censoring with random removals. The number of components removed at each failure time is assumed to follow a binomial distribution. Maximum likelihood estimators and the asymptotic variance-covariance matrix of the estimates are obtained. Finally, a numerical example is given to illu...