SHARP BOUNDS FOR THE BIAS OF TRIMMED MEANS OF
PROGRESSIVELY CENSORED ORDER STATISTICS
Abstract: We provide sharp upper and lower bounds on the bias of
trimmed means of progressively censored type II order statistics from
general distributions in various scale units. The results are illustrated with
numerical examples. We also discuss this problem for distributions with
decreasing density or failure rate, as well as for generalized order statistics.
2000 AMS Mathematics Subject Classification: Primary: 62G30; Secondary:
60E15.
Keywords and phrases: Trimmed mean, progressive censoring, generalized order
statistics, sharp bounds, bias.