Asymptotic properties of lower exponential spacings under Type-II progressive censoring

Abstract

In this paper, we discuss distributional and asymptotic properties of lower exponential spacings obtained from order statistics taken from progressive type-II censoring samples. We find conditions under which the sequence of logarithmic lower exponential spacings converges in probability and with probability one.

Keywords:

• Progressive type-II censored samples
• lower spacings
• exponential distribution
• limit laws

AMS 2000 Subject Classification:

• 60G70
• 62G30

Acknowledgments

The authors are deeply indebted to the two anonymous Reviewers for their interesting comments and remarks.