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4 papers
A Unified Exact Factorial-Moment Theory for Multi-set Allocation Occupancy (MAO) in Finite Populations
Xing-gang Mao, Xiao-yan Xue
Let be independent uniformly selected subsets of a finite population of size , with prescribed cardinalities . For each population element, defi…
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…
Mean, Variance and Asymptotic Property for General Hypergeometric Distribution
Xing-gang Mao, Xiao-yan Xue
General hypergeometric distribution (GHGD) definition: from a finite space containing elements, randomly select totally subsets (each contains elements, $1…
General hypergeometric distribution: A basic statistical distribution for the number of overlapped elements in multiple subsets drawn from a finite population
Xing-gang Mao, Xiao-yan Xue
General hypergeometric distribution (GHGD) describes the following distribution: from a finite space containing N elements, select T subsets with each subset contains M[i] (T-1 >=…