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math.ST2026
Mirror and knockoff+ thresholds under dependence
Xianyang Zhang
Many multiple-testing procedures control the false discovery rate (FDR) by comparing the two tails of a null distribution. At a fixed cutoff, marginal symmetry makes this natural.…
math.PR2026
Chernoff's Density Is Strongly Log-Concave
Xianyang Zhang, Quan Zhou
Let be the density of the Chernoff random variable , where is a two-sided Brownian motion. This note proves the conjecture of…
stat.ME2026
Statistical Validation of Computer Models: Global and Subdomain Hypothesis Testing
Chaoan Li, Xianyang Zhang, Rui Tuo
Computer simulations play an important role in scientific discovery and engineering innovation. Reliable computer models enable virtual experimentation that reduces the need for co…