3 papers
math.ST2026
Pitman closest equivariant estimators under multivariate scale and location--scale models
Yihong Liu, Haojin Zhou
For multivariate scale and location--scale models with independent components, we extend the univariate results of Zhou and Nayak (2012) and derive optimum equivariant estimators u…
math.ST2026
The Equivariance Criterion in a Linear Model for Random- Cases
Zhengyang Zhang, Haojin Zhou
Equivariance is increasingly used in machine learning and statistics, often without systematic justification. In a companion article, the equivariance criterion was applied to the…
math.ST2022
The Equivariance Criterion in a Linear Model for Fixed-X Cases
Daowei Wang, Mian Wu, Haojin Zhou
The field of machine have seen rising applications of equivariance criterion. However, there is no systematic way to justify its usage, including why it works, whether there is an…