Mixture representation for order statistics from INID progressive censoring and its applications

Authors:
T. Fischer;N. Balakrishnan;E. Cramer
Affiliations:
Institute of Statistics, RWTH Aachen University, D-52056 Aachen, Germany;Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1;Institute of Statistics, RWTH Aachen University, D-52056 Aachen, Germany
Venue:
Journal of Multivariate Analysis
Year:
2008

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Abstract

In this paper, a mixture representation for the joint distribution function of progressively Type-II censored order statistics from heterogeneous distributions is established. Applications of this representation to stochastic orderings and inequalities are then illustrated.