5 papers
Linear Regression: Inference Based on Cluster Estimates
Subhodeep Dey, Gopal K. Basak, Samarjit Das
This article proposes a novel estimator for regression coefficients in clustered data that explicitly accounts for within-cluster dependence. We study the asymptotic properties of…
Anomalous Dynamical Heterogeneity in Active Glasses as a Signature of Violation of Mermin-Wagner-Hohenberg Theorem
Subhodeep Dey, Smarajit Karmakar
Two-dimensional (2D) systems have attracted renewed interest within the scientific community due to their anomalous dynamical behaviors, which arise from long-wavelength density fl…
Enhanced Long Wavelength Mermin-Wagner Fluctuations in Active Crystals and Glasses
Subhodeep Dey, Antik Bhattacharya, Smarajit Karmakar
In two-dimensions (2D), the Mermin-Wagner-Hohenberg (MWH) fluctuation plays a significant role, giving rise to striking dimensionality effects marked by long-range density fluctuat…
Cross Sectional Regression with Cluster Dependence: Inference based on Averaging
Subhodeep Dey, Gopal K. Basak, Samarjit Das
We re-investigate the asymptotic properties of the traditional OLS (pooled) estimator, , in the context of cluster dependence. The present study considers various scenar…
Scaling Description of the Relaxation Dynamics and Dynamical Heterogeneity of an Active Glass-forming Liquid
Subhodeep Dey, Smarajit Karmakar
Active glasses refer to a class of driven non-equilibrium systems that share remarkably similar dynamical behavior as conventional glass-formers in equilibrium. Glass-like dynamica…