4 papers · 1 filter
Central Limit Theorem for a Pólya-Friedman Mixed Urn Model
Jianan Shi, Qing Yin, Yu Miao
This paper considers a two-color, single-draw urn model with two types of balls, denoted type and type , with initial counts and , respectively.…
Moderate Deviation Principle for a Stochastic Approximation Process
Jianan Shi, Qing Yin, Yu Miao
In this paper, we investigate a stochastic approximation procedure taking values in . The process is adapted to a filtration and sat…
Cramer's moderate deviations of modularity in network
Yu Miao, Qing Yin
Complex networks play a crucial role in understanding physical, biological, social and technological systems. One of the most relevant features of graphs representing real systems…
Berry-Esseen bound of modularity in network
Yu Miao, Qing Yin
In this paper, the model is a specific partition of a given network. Berry-Esseen bound and strong law of large numbers of modularity for the partition are proved when the size of…