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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…
math.ST2025
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…