Comment on "Average Hazard as Harmonic Mean" by Chiba

Fuente: arXiv
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Autori principali: Uno, Hajime, Tian, Lu, Horiguchi, Miki, Hattori, Satoshi
Natura: Preprint
Pubblicazione: 2025
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author Uno, Hajime
Tian, Lu
Horiguchi, Miki
Hattori, Satoshi
author_facet Uno, Hajime
Tian, Lu
Horiguchi, Miki
Hattori, Satoshi
contents In a recent article published in Pharmaceutical Statistics, Chiba proposed a reinterpretation of the average hazard as a harmonic mean of the hazard function and questioned the validity of the Kaplan-Meier plug-in estimator when the truncation time does not coincide with an observed event time. In this commentary, we examine the arguments presented and highlight several points that warrant clarification. Through simulation studies, we further show that the plug-in estimator provides reliable estimates across a range of truncation times, even in small samples. These support the continued utilization of the Kaplan-Meier plug-in estimator for the average hazard and help clarify its proper interpretation and implementation.
format Preprint
id arxiv_https___arxiv_org_abs_2507_15985
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comment on "Average Hazard as Harmonic Mean" by Chiba
Uno, Hajime
Tian, Lu
Horiguchi, Miki
Hattori, Satoshi
Methodology
Computation
In a recent article published in Pharmaceutical Statistics, Chiba proposed a reinterpretation of the average hazard as a harmonic mean of the hazard function and questioned the validity of the Kaplan-Meier plug-in estimator when the truncation time does not coincide with an observed event time. In this commentary, we examine the arguments presented and highlight several points that warrant clarification. Through simulation studies, we further show that the plug-in estimator provides reliable estimates across a range of truncation times, even in small samples. These support the continued utilization of the Kaplan-Meier plug-in estimator for the average hazard and help clarify its proper interpretation and implementation.
title Comment on "Average Hazard as Harmonic Mean" by Chiba
topic Methodology
Computation
url https://arxiv.org/abs/2507.15985