Author

Nilanjan Chakraborty

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Preprint Aug 2026

Berry--Esseen bounds and bootstrap approximations for the Hilbert-space norm of $U$-statistics

We establish non-asymptotic Berry--Esseen bounds and bootstrap approximations for the Hilbert-space norm of nondegenerate $U$-statistics. Our triangular-array framework allows the kernel to take values in a separable Hilbert space $H_n$ that may vary with the sample size, thereby covering both infinite-dimensional spac...

Nilanjan Chakraborty, Sayan Das · 0 citations

Preprint Jul 2026

Testing Microbiome Community Differences in High Dimensions: A Bootstrap Approach for Compositional Data

Understanding differences in microbial community structure is critical for uncovering risk factors and mechanisms underlying diseases such as colorectal cancer and preterm birth. Microbiome data present unique statistical challenges because they are compositional in nature, violating assumptions of many classical infer...

M. Bhattacharjee, Nilanjan Chakraborty, Sayan Das et al. · 0 citations