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.
Stochastic orders, Variables (Mathematics), Stochastic analysis
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.
Nuria Torrado and Subhash C. Kochar (2015), Stochastic order relations among parallel systems from Weibull distributions, to appear in Journal of Applied Probability.