An optimal bound on the quantiles of a certain kind of distributions

2013/01/02 by Iosif Pinelis, Pinelis, Iosif
Computer Science · Mathematics · #60E15 (Primary) 62E17 (Secondary) #Bayesian Methods and Mixture Models #FOS: Mathematics #Probability (math.PR) #Statistical Distribution Estimation and Applications #Statistical Methods and Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1301.0294

openalex publication_date 2013/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An optimal bound on the quantiles of a certain kind of distributions is given. Such a bound is used in applications to Berry--Esseen-type bounds for nonlinear statistics.

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