A note on stochastic ordering of estimators of exponential reliability

Details A note on stochastic ordering of estimators of exponential reliability A note on stochastic ordering of estimators of exponential reliability

2011-08-10

arxiv.org/abs/1108.2232v3

Mathematics

Statistics Theory

accepted for publication in Applicationes Mathematicae

Scientific paper

Recently Balakrishnan and Iliopoulos [Ann. Inst. Statist. Math. 61 (2009)]
gave sufficient conditions under which maximum likelihood estimator (MLE) is
stochastically increasing. In this paper we study test plans which are not
considered there and we prove that MLEs for those plans are also stochastic
ordered. We also give some applications to the estimation of reliability.

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