12 citations · 19 across the 17 of their papers we have counts for
4 papers · 1 filter
Estimation in Tensor Ising Models
Somabha Mukherjee, Jaesung Son, Bhaswar B. Bhattacharya
The -tensor Ising model is a one-parameter discrete exponential family for modeling dependent binary data, where the sufficient statistic is a multi-linear form of degree $p \ge…
Phase Transitions of the Maximum Likelihood Estimates in the -Spin Curie-Weiss Model
Somabha Mukherjee, Jaesung Son, Bhaswar B. Bhattacharya
In this paper we consider the problem of parameter estimation in the -spin Curie-Weiss model, for . We provide a complete description of the limiting properties of the…
Asymptotic bounds on graphical partitions and partition comparability
Stephen Melczer, Marcus Michelen, Somabha Mukherjee
An integer partition is called graphical if it is the degree sequence of a simple graph. We prove that the probability that a uniformly chosen partition of size is graphical de…
Least Squares Estimation of a Quasiconvex Regression Function
Somabha Mukherjee, Rohit K. Patra, Andrew L. Johnson +1
We develop a new approach for the estimation of a multivariate function based on the economic axioms of quasiconvexity (and monotonicity). On the computational side, we prove the e…