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Asymptotic distribution in affiliation finite discrete weighted networks with an increasing degree sequence
Authors:Jing Luo  Hong Qin  Zhenghong Wang
Affiliation:1. Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, China;2. jingluo2017@mail.scuec.edu.cn;4. Department of Mathematics and Statistics, Central China Normal University, Wuhan, China
Abstract:
Abstract

The asymptotic normality of a fixed number of the maximum likelihood estimators (MLEs) in the affiliation finite discrete weighted networks with an increasing degree sequence has been established recently. In this article, we further derive a central limit theorem for a linear combination of all the MLEs with an increasing dimension. Simulation studies are provided to illustrate the asymptotic results.
Keywords:Affiliation weighted networks  central limit theorem  increasing number of parameters  maximum likelihood estimators
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