Asymptotics of score test in the generalized β-model for networks

Ting Yan; Yunpeng Zhao

doi:10.1016/j.spl.2016.07.022

Asymptotics of score test in the generalized β-model for networks

Ting Yan
, Yunpeng Zhao

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We show that the scaled score test statistic under a simple null in the generalized β-model for undirected networks asymptotically follows standard normal distribution when the number of network vertices goes to infinity.

Original language	English (US)
Pages (from-to)	163-169
Number of pages	7
Journal	Statistics and Probability Letters
Volume	119
DOIs	https://doi.org/10.1016/j.spl.2016.07.022
State	Published - Dec 1 2016
Externally published	Yes

Keywords

Central limit theorem
Network models
Score test

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/j.spl.2016.07.022

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title = "Asymptotics of score test in the generalized β-model for networks",

abstract = "We show that the scaled score test statistic under a simple null in the generalized β-model for undirected networks asymptotically follows standard normal distribution when the number of network vertices goes to infinity.",

keywords = "Central limit theorem, Network models, Score test",

author = "Ting Yan and Yunpeng Zhao",

note = "Funding Information: We are very grateful to an anonymous referee and the Editor for their valuable comments that have greatly improved the manuscript. Yan{\textquoteright}s research is partially supported by the National Natural Science Foundation of China (No. 1140239 ). Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

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doi = "10.1016/j.spl.2016.07.022",

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AU - Yan, Ting

AU - Zhao, Yunpeng

N1 - Funding Information: We are very grateful to an anonymous referee and the Editor for their valuable comments that have greatly improved the manuscript. Yan’s research is partially supported by the National Natural Science Foundation of China (No. 1140239 ). Publisher Copyright: © 2016 Elsevier B.V.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We show that the scaled score test statistic under a simple null in the generalized β-model for undirected networks asymptotically follows standard normal distribution when the number of network vertices goes to infinity.

AB - We show that the scaled score test statistic under a simple null in the generalized β-model for undirected networks asymptotically follows standard normal distribution when the number of network vertices goes to infinity.

KW - Central limit theorem

KW - Network models

KW - Score test

UR - https://www.scopus.com/pages/publications/84982273228

UR - https://www.scopus.com/pages/publications/84982273228#tab=citedBy

U2 - 10.1016/j.spl.2016.07.022

DO - 10.1016/j.spl.2016.07.022

M3 - Article

AN - SCOPUS:84982273228

SN - 0167-7152

VL - 119

SP - 163

EP - 169

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

Asymptotics of score test in the generalized β-model for networks

Abstract

Keywords

ASJC Scopus subject areas

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