Author

S. Lahiri

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Nov 2026

Bootstrapping LASSO estimators under variable selection consistency in high dimensions and some higher order refinements

We consider statistical inference based on the LASSO (cf. Tibshirani (J. Roy. Statist. Soc. Ser. B, Methodol. 58 (1996) 267–288)) in high dimensional regression problems. It is well known that the LASSO produces biased estimator of the regression parameter. The bias problem is further exacerbated when the LASSO has the...

Debraj Das, A. Chatterjee, S. Lahiri · Bernoulli · 0 citations

Preprint Aug 2026

Large Sample Properties of Higher Order Markov Models

We study large-sample properties of higher-order Markov chains on a finite alphabet $\Sigma$ when the order $m_n$ is allowed to grow with the sequence length $n$. By embedding the process into a first-order chain on $\Sigma^{m_n}$ and exploiting return-time decompositions, we establish a central limit theorem for addit...

Tuhin Majumder, D. Martin, S. Lahiri · 0 citations