14 research outputs found
Stochastic order relations among parallel systems from Weibull distributions
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.Comment: 14 pages, 3 figures. Journal of Applied Probability (2015
On stochastic comparisons of largest order statistics in the scale model
Let be
independent nonnegative random variables with , , where , and is an
absolutely continuous distribution. It is shown that, under some conditions,
one largest order statistic is smaller than another one
according to likelihood ratio ordering. Furthermore, we
apply these results when is a generalized gamma distribution which includes
Weibull, gamma and exponential random variables as special cases