Article
Stochastic Order Relations Among Parallel Systems from Weibull Distributions
Mathematics and Statistics Faculty Publications and Presentations
Sponsor
The research of N.T. was supported by the Portuguese Government through the Fundação para a Ciência e Tecnologia (FCT) under the grant SFRH/BPD/91832/2012 and partially supported by the Centro de Matemática da Universidade de Coimbra (CMUC), funded by the European Regional Development Fund through the program COMPETE and by the Portuguese Government through the FCT - Fundação para a Ciência e a Tecnologia under the project PEst-C/MAT/UI0324/2013.
Document Type
Post-Print
Publication Date
5-1-2014
Subjects
- Stochastic orders,
- Variables (Mathematics),
- Stochastic analysis
Disciplines
- Analysis and
- Mathematics
Abstract
In this article, we focus on stochastic orders to compare the magnitudes of two parallel systems from Weibull distributions when one set of scale parameters majorizes the other. The new results obtained here extend some of those proved by Dykstra et al. (1997) and Joo and Mi (2010) from exponential to Weibull distributions. Also, we present some results for parallel systems from multiple-outlier Weibull models.
Persistent Identifier
http://archives.pdx.edu/ds/psu/12185
Citation Information
Nuria Torrado and Subhash C. Kochar (2015), Stochastic order relations among parallel systems from Weibull distributions, to appear in Journal of Applied Probability.
This is the author's version of the work. © Applied Probability Trust 2014. This article has been accepted and is scheduled for publication in JAP on March 2015