|Date:||Thursday, April 19, 2018|
In this talk, I will introduce some concepts and notions for multivariate stochastic comparisons. I will then consider some convolution quantities that are useful in the context of Actuarial Science and present some multivariate stochastic comparison results for these quantities. I will then generalize these results to random convolutions as well as for some general families of distributions. I will present some numerical examples to illustrate the established results.