Xiao-Yan Xue

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20182026

most citedGeneral hypergeometric distribution: A basic statistical distribution for the number of overlapped elements in multiple subsets drawn from a finite population

1 citations · 1 across the 4 of their papers we have counts for

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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…

math.PR2022

Mean, Variance and Asymptotic Property for General Hypergeometric Distribution

Xing-gang Mao, Xiao-yan Xue

General hypergeometric distribution (GHGD) definition: from a finite space $N$ containing $n$ elements, randomly select totally $T$ subsets $M_{i}$ (each contains $m_{i}$ elements, $1…