Order restricted statistical inference for scale parameters based on sequential order statistics.

E.A. Beutner*, U. Kamps

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

24 Citations (Web of Science)


In the situation of a multi-sample experiment consisting of differently equipped sequential k-out-of-n systems, scale parameters of underlying distributions from a general location-scale family of distributions are estimated under an order restriction. In each sample, the case of missing the smallest observations is included. Moreover, based on a profile likelihood a homogeneity test against an ordered alternative is proposed and analyzed. This work extends an approach of bhattacharya [2007. Testing for ordered failure rates under general progressive censoring. J. Statist. Plann. Inference 137, 1775–1786] in the progressive type-ii censoring framework.
Original languageEnglish
Pages (from-to)2963-2969
Number of pages7
JournalJournal of Statistical Planning and Inference
Issue number9
Publication statusPublished - 1 Jan 2009

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