Integrating Heterogeneous Information in Randomized Experiments: A Unified Calibration Framework

This paper proposes a unified calibration framework that integrates heterogeneous internal and auxiliary information into randomized experiments under covariate-adaptive randomization via convex optimization, ensuring asymptotic validity and a no-harm efficiency guarantee while accommodating scenarios with growing numbers of strata and information sources.

Wei Ma, Zeqi Wu, Zheng ZhangTue, 10 Ma🔢 math

The modified conditional sum-of-squares estimator for fractionally integrated models

This paper introduces a modified conditional sum-of-squares (MCSS) estimator for ARFIMA models that corrects the bias caused by estimating a constant term, demonstrating through theoretical analysis and simulations that it significantly outperforms the standard CSS estimator even in small samples, and applying this improvement to reanalyze three classical economic and hydrological datasets.

Mustafa R. Kılınç, Michael MassmannThu, 12 Ma📈 econ

Thin Sets Are Not Equally Thin: Minimax Learning of Submanifold Integrals

This paper establishes a unified theory showing that the minimax optimal estimation rate for functionals identified by "thin sets" (submanifolds of dimension mm in a dd-dimensional space) depends critically on the intrinsic dimensionality, specifically achieving a rate of ns2s+dmn^{-\frac{s}{2s+d-m}} for nonparametric functions with smoothness ss, and provides valid inference procedures via sieve Riesz representation and Sobol points.

Xiaohong Chen, Wayne Yuan GaoMon, 09 Ma📈 econ