Xiao-Yan Xue

collaborators

2 papers

math.PR2026

A Unified Exact Factorial-Moment Theory for Multi-set Allocation Occupancy (MAO) in Finite Populations

Xing-gang Mao, Xiao-yan Xue

Let $A_{1}, \dots, A_{T}$ be independent uniformly selected subsets of a finite population of size $n$ , with prescribed cardinalities $m_{1}, \dots, m_{T}$ . For each population element, defi…

math.PR2025

The Multi-set Allocation Occupancy function and inequality (MAO function and MAO inequality): the foundation of Generalized hypergeometric distribution theory

Xing-gang Mao, Xiao-yan Xue

In our previous work, we studied the Generalized Hypergeometric Distribution (GHGD), which we refer to as the Multi-set Allocation Occupancy (MAO) distribution. We derived formulas…