Debashis Paul

collaborators

4 papers

math.ST2025

Statistical inference using debiased group graphical lasso for multiple sparse precision matrices

Sayan Ranjan Bhowal, Debashis Paul, Gopal K Basak +1

Debiasing group graphical lasso estimates enables statistical inference when multiple Gaussian graphical models share a common sparsity pattern. We analyze the estimation propertie…

math.ST2025

LSD of sample covariances of superposition of matrices with separable covariance structure

Javed Hazarika, Debashis Paul

We study the asymptotic behavior of the spectra of matrices of the form $S_{n} = \frac{1}{n} X X^{*}$ where $X = \sum_{r = 1}^{K} X_{r}$ , where $X_{r} = A_{r}^{\frac{1}{2}} Z_{r} B_{r}^{\frac{1}{2}}$ , $K \in…

math.ST2025

LSD of the Commutator of two data Matrices

Javed Hazarika, Debashis Paul

We study the spectral properties of a class of random matrices of the form $S_{n}^{-} = n^{- 1} (X_{1} X_{2}^{*} - X_{2} X_{1}^{*})$ where $X_{k} = Σ_{k}^{1/2} Z_{k}$ , $Z_{k}$ 's are independent $p \times n$ …

math.ST2024

Limiting Spectral Distribution of a Random Commutator Matrix

Javed Hazarika, Debashis Paul

We study the spectral properties of a class of random matrices of the form $S_{n}^{-} = n^{- 1} (X_{1} X_{2}^{*} - X_{2} X_{1}^{*})$ where $X_{k} = Σ^{1/2} Z_{k}$ , for $k = 1, 2$ , $Z_{k}$ 's are independent…