Global rate optimality of integral curve estimators in high order tensor models: Supplemental material

C. Banerjee^a, L. A. Sakhanenko^a, D. C. Zhu<sup>b

a</sup> Department of Statistics and Probability, Michigan State University, East Lansing, MI, USA
^b Department of Radiology and Gruss Magnetic Resonance Research Center, Albert Einstein College of Medicine, NY, USA

Abstract: We prove all the results announced in [C. Banerjee, L. A. Sakhanenko, and D. C. Zhu, Theory Probab. Appl., 68 (2023), pp. 250–266].

Keywords: global minimax lower bound, semiparametric estimation, magnetic resonance high angular resolution diffusion imaging.

Received: 01.11.2021
Accepted: 30.03.2022

DOI: 10.4213/tvp5566

 English version: Theory of Probability and its Applications, 2024, 69:3, 404–424

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