2 papers
math.ST2026
Berry--Esseen bounds and bootstrap approximations for the Hilbert-space norm of -statistics
Nilanjan Chakraborty, Sayan Das
We establish non-asymptotic Berry--Esseen bounds and bootstrap approximations for the Hilbert-space norm of nondegenerate -statistics. Our triangular-array framework allows the…
stat.ME2026
Testing Microbiome Community Differences in High Dimensions: A Bootstrap Approach for Compositional Data
Monika Bhattacharjee, Nilanjan Chakraborty, Sayan Das +6
Understanding differences in microbial community structure is critical for uncovering risk factors and mechanisms underlying diseases such as colorectal cancer and preterm birth. M…