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Fundamental Research
Article . 2021 . Peer-reviewed
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Fundamental Research
Article
License: CC BY NC ND
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Fundamental Research
Article . 2021
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Linear expectile regression under massive data

Authors: Shanshan Song; Yuanyuan Lin; Yong Zhou;

Linear expectile regression under massive data

Abstract

In this paper, we study the large-scale inference for a linear expectile regression model. To mitigate the computational challenges in the classical asymmetric least squares (ALS) estimation under massive data, we propose a communication-efficient divide and conquer algorithm to combine the information from sub-machines through confidence distributions. The resulting pooled estimator has a closed-form expression, and its consistency and asymptotic normality are established under mild conditions. Moreover, we derive the Bahadur representation of the ALS estimator, which serves as an important tool to study the relationship between the number of sub-machines K and the sample size. Numerical studies including both synthetic and real data examples are presented to illustrate the finite-sample performance of our method and support the theoretical results.

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Keywords

Divide and conquer algorithm, Q1-390, Science (General), (Asymptotic) confidence distribution, Massive data, Expectile regression

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold