Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inference via Randomized Test Statistics   We show that external randomization may enforce the convergence of test
statistics to their limiting distributions in particular cases. This results in
a sharper inference. Our approach is based on a central limit theorem for
weighted sums. We apply our method to a family of rank-based test statistics
and a family of phi-divergence test statistics and prove that, with
overwhelming probability with respect to the external randomization, the
randomized statistics converge at the rate $O(1/n)$ (up to some logarithmic
factors) to the limiting chi-square distribution in Kolmogorov metric.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th