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Abstract:
We focus on the distributed statistical inference for linear models with multi-source massive heterogeneous data. First, a communication-efficient distributed aggregation method is proposed to estimate the unknown parameter vector, and the derived estimator is proved to be best linear unbiased and asymptotically normal under some regularity conditions. Then, a distributed test method is proposed to test the heterogeneity among a large number of data sources. Finally, the simulations are conducted to illustrate the effectiveness of the proposed method. © 2023 Chinese Academy of Sciences. All rights reserved.
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Source :
Acta Mathematica Sinica, Chinese Series
ISSN: 0583-1431
Year: 2023
Issue: 2
Volume: 66
Page: 263-276
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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