Distributions of exceedances of generalized order statistics

Abstract

Distributions of exceedance statistics based on minimal spacing of generalized order statistics are obtained in a random threshold model. As the special cases of the generalized order statistics the ordinary order statistics, Progressively Type II right censored order statistics and record values are considered. The results obtained in the paper imply previous results on exceedance statistics for the variety of models of ordered random variables.

Šidák-type tests for the two-sample problem based on precedence and exceedance statistics

“…Some basic references on precedence tests include [10], [11], [12], [13], [14]. There are many extensions of precedence tests; see [15], [16], [17], [18], [19]. For more details on these developments, one may refer to Ng and Balakrishnan [20].…”