Detecting rare and faint signals via thresholding maximum likelihood estimators

Supplemental Files
Date
2018-01-01
Authors
Qiu, Yumou
Chen, Song Xi
Nettleton, Dan
Nettleton, Dan
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Authors
Research Projects
Organizational Units
Statistics
Organizational Unit
Journal Issue
Series
Department
Statistics
Abstract

Motivated by the analysis of RNA sequencing (RNA-seq) data for genes differentially expressed across multiple conditions, we consider detecting rare and faint signals in high-dimensional response variables. We address the signal detection problem under a general framework, which includes generalized linear models for count-valued responses as special cases. We propose a test statistic that carries out a multi-level thresholding on maximum likelihood estimators (MLEs) of the signals, based on a new Cramér-type moderate deviation result for multidimensional MLEs. Based on the multi-level thresholding test, a multiple testing procedure is proposed for signal identification. Numerical simulations and a case study on maize RNA-seq data are conducted to demonstrate the effectiveness of the proposed approaches on signal detection and identification.

Comments

This article is published as Qiu, Yumou, Song Xi Chen, and Dan Nettleton. "Detecting rare and faint signals via thresholding maximum likelihood estimators." The Annals of Statistics 46, no. 2 (2018): 895-923. doi: 10.1214/17-AOS1574. Posted with permission.

Description
Keywords
Citation
DOI
Collections