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math.PR2026

Full negative regression dependence: counterexamples for tail dependence and negative association

Yuting Su, Taizhong Hu

We show that full negative regression dependence implies neither negative right-tail dependence nor negative left-tail dependence. A strictly positive distribution on a 2*2*3 recta…

math.PR2026

Moment inequalities for higher-order (inverse) stochastic dominance

Meng Guan, Zhenfeng Zou, Taizhong Hu

Stochastic dominance has been studied extensively, particularly in the finance and economics literature. In this paper, we obtain two results. First, necessary conditions for highe…

math.PR2025

Further Developments on Stochastic Dominance for Convex Combinations of Infinite-Mean Random Variables

Keyi Zeng, Zhenfeng Zou, Yuting Su +1

In recent years, stochastic dominance for independent and identically distributed (iid) infinite-mean random variables has received considerable attention. The literature has ident…

math.PR2025

Negative Dependence in Knockout Tournaments

Yuting Su, Zhenfeng Zou, Taizhong Hu

Negative dependence in tournaments has received attention in the literature. The property of negative orthant dependence (NOD) was proved for different tournament models with a spe…

math.PR2025

Stochastic dominance for linear combinations of infinite-mean risks

Yuyu Chen, Taizhong Hu, Seva Shneer +1

In this paper, we establish a sufficient condition to compare linear combinations of independent and identically distributed (iid) infinite-mean random variables under usual stocha…