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20202026
most citedAzadkia-Chatterjee's correlation coefficient adapts to manifold data

2 citations · 3 across the 5 of their papers we have counts for

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math.ST2026

Generative bootstrap processes

Ziming Lin, Fang Han

We study generative bootstrap processes obtained by resampling from fitted generative distributions. We establish necessary and sufficient conditions for their conditional weak con…

math.ST2026

Limit theorems of Azadkia-Chatterjee's conditional graph correlation

Muhong Gao, Fang Han, Qizhai Li

Inferring the strength of conditional dependence and testing conditional independence are fundamental problems in statistics. A recent breakthrough by Azadkia and Chatterjee introd…

math.ST2024

On Rosenbaum's Rank-based Matching Estimator

Matias D. Cattaneo, Fang Han, Zhexiao Lin

In two influential contributions, Rosenbaum (2005, 2020) advocated for using the distances between component-wise ranks, instead of the original data values, to measure covariate s…

math.ST20231 cited

On the failure of the bootstrap for Chatterjee's rank correlation

Zhexiao Lin, Fang Han

While researchers commonly use the bootstrap for statistical inference, many of us have realized that the standard bootstrap, in general, does not work for Chatterjee's rank correl…

math.ST20222 cited

Azadkia-Chatterjee's correlation coefficient adapts to manifold data

Fang Han, Zhihan Huang

In their seminal work, Azadkia and Chatterjee (2021) initiated graph-based methods for measuring variable dependence strength. By appealing to nearest neighbor graphs, they gave an…

math.ST2020

On the power of Chatterjee rank correlation

Hongjian Shi, Mathias Drton, Fang Han

Chatterjee (2021) introduced a simple new rank correlation coefficient that has attracted much recent attention. The coefficient has the unusual appeal that it not only estimates a…