Smooth estimation of a reliability function in ranked set sampling

The authors develop a kernel-based estimator of a dynamic reliability measure for use with independent ranked set samples. The estimator is in the form of a ratio, whose numerator and denominator are shown to outperform their rivals based on simple random samples. Some asymptotic properties about th...

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Bibliographic Details
Published in:Statistics (Berlin, DDR) DDR), 2018-07, Vol.52 (4), p.750-768
Main Authors: Mahdizadeh, M., Zamanzade, Ehsan
Format: Article
Language:English
Subjects:
Agricultural practices
Asymptotic properties
Bandwidth selection
Economic models
Estimating techniques
judgment ranking
Reliability
stress-strength model
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Summary:The authors develop a kernel-based estimator of a dynamic reliability measure for use with independent ranked set samples. The estimator is in the form of a ratio, whose numerator and denominator are shown to outperform their rivals based on simple random samples. Some asymptotic properties about the proposed estimator are also established. Simulation studies reveal finite-sample properties of the estimator. The technique is finally applied on an agricultural data set.
ISSN:0233-1888
1029-4910
DOI:10.1080/02331888.2018.1477157