Variability and skewness ordering of sample extremes from dependent random variables following the proportional odds model

The proportional odds (PO) model not only capable of generating new family of flexible distributions but also is a very important model in reliability theory and survival analysis. In this study, we investigate comparisons of minimums as well as maximums of samples from dependent random variables following the PO model and with Archimedean copulas, in terms of dispersive and star orders. Numerical examples are provided to illustrate the the findings.Comment: 8 figure