Chapter 2 Preliminaries

In this chapter, some essential distributional properties and results are presented for order statistics and progressively censored order statistics. These include marginal, joint and conditional distributions, Markov dependence, conditional block independence and mixture results. The uniform, exponential and Weibull distributions are used as examples. Finally, some general results for generalized order statistics and sequential order statistics are presented. All the results described here will be useful in subsequent chapters when inferential results are developed for various forms of hybrid censoring.