Conditional independence of blocked ordered data

G. Iliopoulos and N. Balakrishnan

In this paper, we prove that blocks of ordered data formed by some conditioning events are mutually independent.  We establish this result by considering the usual order statistics, progressively censored order statistics, and concomitants of order statistics.

Key words and phrases: Conditional independence; order statistics; progressively censored order statistics; concomitants of order statistics.

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