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math.ST2026
Asymptotic optimality theory of confidence intervals of the mean
Vikas Deep, Achal Bassamboo, Sandeep Juneja
We address the classical problem of constructing confidence intervals (CIs) for the mean of a distribution, given \(N\) i.i.d. samples, such that the CI contains the true mean with…
math.ST2025
Fundamental limits for weighted empirical approximations of tilted distributions
Sarvesh Ravichandran Iyer, Himadri Mandal, Dhruman Gupta +5
Consider the task of generating samples from a tilted distribution of a random vector whose underlying distribution is unknown, but samples from it are available. This finds applic…