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Bibliographic Details
Main Author: Zhang, Yan
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.19725
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Table of Contents:
  • This work makes two advances in the study of the (approximate) nonparametric maximum likelihood estimator (NPMLE) for exponential family mixture models. First, we develop a data-compression strategy that reduces the cost of repeated likelihood evaluations in NPMLE computation to logarithmic order in the sample size. Second, we show that, for a broad class of approximate NPMLEs, the resulting marginal density estimator attains an almost parametric rate of convergence.