A note on stochastic ordering of estimators of exponential reliability

• Autorzy: Piotr Nowak
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 62N05: Reliability and life testing
• 60E15: Inequalities; stochastic orderings
• 62F10: Point estimation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 4
• Strony: 485-494

Daty

wydano

2011

Twórcy

autor

Piotr Nowak

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/am38-4-7