4 papers
Moderate Deviation and Berry-Esseen Bounds in the -Spin Curie-Weiss Model
Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya
Limit theorems for the magnetization in the -spin Curie-Weiss model, for , has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…
Growth Rate of the Number of Empty Triangles in the Plane
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +1
Given a set of points in the plane, in general position, denote by the number of empty triangles with vertices in . In this paper we investigate by how much $N_…
Bootstrapped Edge Count Tests for Nonparametric Two-Sample Inference Under Heterogeneity
Trambak Banerjee, Bhaswar B. Bhattacharya, Gourab Mukherjee
Nonparametric two-sample testing is a classical problem in inferential statistics. While modern two-sample tests, such as the edge count test and its variants, can handle multivari…
Almost Empty Monochromatic Triangles in Planar Point Sets
Deepan Basu, Kinjal Basu, Bhaswar B. Bhattacharya +1
For positive integers , let be the least integer such that any set of at least points in the plane, no three on a line and colored with col…