Evidences in lifetimes of sequential r-out-of-n systems and optimal sample size determination for Burr XII populations

  • Majid Hashempour Department of Statistics‎, ‎School of Science, University‎ of Hormozgan, ‎Bandar Abbas, Iran
DOI: https://doi.org/10.19139/soic.v5i2.255
Keywords: Burr XII model, Hypotheses testing, Likelihood ratio, Sequential order statistics, Strong and weak evidences‎

Abstract

In this paper‎, ‎statistical evidences in lifetimes of sequential r-out-of-n systems‎, ‎which are modelled by sequential order statistics (SOS)‎, ‎are studied‎. ‎Weak and misleading evidences in SOS for hypotheses about the population parameter are derived in explicit expressions and their behaviours with respect to the model parameters are investigated in details‎. ‎Optimal sample sizes given a minimum desired level for the  decisive and the  correct probabilities are provided‎. ‎It is shown that the optimal sample size does not depend on some model parameters‎.

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Published
2017-06-01
How to Cite
Hashempour, M. (2017). Evidences in lifetimes of sequential r-out-of-n systems and optimal sample size determination for Burr XII populations. Statistics, Optimization & Information Computing, 5(2), 147-157. https://doi.org/10.19139/soic.v5i2.255
Issue
Vol 5 No 2 (2017)
Section
Research Articles
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