In some inferential statistical methods, such as tests and confidence intervals, it is important
to describe the stochastic behavior of statistical functionals, aside from their large sample …

We study the problem of comparing ageing patterns of lifetimes of k-out-of-n systems with iid
components. Mathematically, this reduces to being able to decide about a stochastic …

Given samples from two non‐negative random variables, we propose a family of tests for the
null hypothesis that one random variable stochastically dominates the other at the second …

In this paper, we identify several relative ordering properties of the modified proportional
hazard rate and modified proportional reversed hazard rate models. For this purpose, we …

In the landmark article\cite {Muller}, M\" uller et. al. introduced the notion of fractional
stochastic dominance (SD) to interpolate between first and second SD relations. In this …

Investigating stochastic dominance within flexible multi-parametric families of distributions is
often complicated, owing to the high number of parameters or non-closed functional forms …

This thesis introduces novel families of stochastic dominance rules, enhancing the tools
available for ranking alternatives under the presence of risk. Stochastic dominance relations …

This thesis develops two new and complementary classes of ordering relations relevant to
the decisions-under-risk setting, with a hopeful view towards enriching the use of order …

For the comparison of inequality and welfare in multiple attributes the use of generalized
Gini indices is proposed. Individual endowment vectors are summarized by using attribute …

We regard high degree stop-loss transforms as iterated equilibrium distributions to establish
comparison criteria with respect to star-shape and convex transform orders. As an …