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math.ST2026
Large Sample Properties of Higher Order Markov Models
Tuhin Majumder, Donald E. K. Martin, Soumendra N. Lahiri
We study large-sample properties of higher-order Markov chains on a finite alphabet when the order is allowed to grow with the sequence length . By embedding the proce…
math.ST2026
On Optimal Data Splitting for Split Conformal Prediction
Sayan Das, Bahram Yaghooti, Todd A. Kuffner +1
Conformal prediction and its variants, including the split conformal prediction, provide a distribution-free framework for uncertainty quantification by constructing prediction int…
math.ST2013★ 79 cited
Rates of convergence of the Adaptive LASSO estimators to the Oracle distribution and higher order refinements by the bootstrap
A. Chatterjee, S. N. Lahiri
Zou [J. Amer. Statist. Assoc. 101 (2006) 1418-1429] proposed the Adaptive LASSO (ALASSO) method for simultaneous variable selection and estimation of the regression parameters, and…