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Lopes ME, Erichson NB, Mahoney MW. Bootstrapping the operator norm in high dimensions: Error estimation for covariance matrices and sketching. BERNOULLI 2023. [DOI: 10.3150/22-bej1463] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Miles E. Lopes
- Department of Statistics, University of California, Davis, Mathematical Sciences Building, Davis, CA, 95616, USA
| | - N. Benjamin Erichson
- Department of Statistics, University of California, Berkeley, Evans Hall, Berkeley, CA, 94720, USA and International Computer Science Institute, Berkeley, CA, 94704, USA
| | - Michael W. Mahoney
- Department of Statistics, University of California, Berkeley, Evans Hall, Berkeley, CA, 94720, USA and International Computer Science Institute, Berkeley, CA, 94704, USA
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Lopes ME. Central limit theorem and bootstrap approximation in high dimensions: Near 1/n rates via implicit smoothing. Ann Stat 2022. [DOI: 10.1214/22-aos2184] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Miles E. Lopes
- Department of Statistics, University of California, Davis
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Chernozhuokov V, Chetverikov D, Kato K, Koike Y. Improved central limit theorem and bootstrap approximations in high dimensions. Ann Stat 2022. [DOI: 10.1214/22-aos2193] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
| | | | - Kengo Kato
- Department of Statistics and Data Science, Cornell University
| | - Yuta Koike
- Department, Mathematics and Informatics Center and Graduate School of Mathematical Sciences, The University of Tokyo
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Lopes ME, Yao J. A sharp lower-tail bound for Gaussian maxima with application to bootstrap methods in high dimensions. Electron J Stat 2022. [DOI: 10.1214/21-ejs1961] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Notes on the dimension dependence in high-dimensional central limit theorems for hyperrectangles. JAPANESE JOURNAL OF STATISTICS AND DATA SCIENCE 2021. [DOI: 10.1007/s42081-020-00096-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Lin Z, Lopes ME, Müller HG. High-Dimensional MANOVA Via Bootstrapping and Its Application to Functional and Sparse Count Data. J Am Stat Assoc 2021. [DOI: 10.1080/01621459.2021.1920959] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Zhenhua Lin
- Department of Statistics and Applied Probability, National University of Singapore, Singapore, Singapore
| | - Miles E. Lopes
- Department of Statistics, University of California, Davis, CA
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Kuchibhotla AK, Mukherjee S, Banerjee D. High-dimensional CLT: Improvements, non-uniform extensions and large deviations. BERNOULLI 2021. [DOI: 10.3150/20-bej1233] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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