单区间和双区间普查模型中孵化时间分布的估计

IF 1.4 3区数学 Q2 STATISTICS & PROBABILITY

Statistica Neerlandica Pub Date : 2024-02-21 DOI:10.1111/stan.12335

Piet Groeneboom

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引用次数: 0

摘要

我们分析了单区间和双区间普查模型中孵化时间分布函数的非参数估计器。经典的方法是在估计过程中使用参数族，如 Weibull、log-normal 或 gamma 分布。我们提出了观测值函数的非参数估计，它比传统的参数方法更接近数据。我们还给出了离散模型的明确极限分布，并将其用于计算置信区间。这些方法是对 Groeneboom (2021, 2023) 中连续模型分析的补充。计算估计值的 R 脚本在 Groeneboom (2020) 中提供。

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Estimation of the incubation time distribution in the singly and doubly interval censored model

We analyze nonparametric estimators for the distribution function of the incubation time in the singly and doubly interval censoring model. The classical approach is to use parametric families like Weibull, log‐normal or gamma distributions in the estimation procedure. We propose nonparametric estimates for functions of the observations, which stay closer to the data than the classical parametric methods. We also give explicit limit distributions for discrete versions of the models and apply this to compute confidence intervals. The methods complement the analysis of the continuous model in Groeneboom (2021, 2023). R scripts for computation of the estimates are provided in Groeneboom (2020).

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来源期刊

Statistica Neerlandica 数学-统计学与概率论

CiteScore

2.60

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Statistica Neerlandica has been the journal of the Netherlands Society for Statistics and Operations Research since 1946. It covers all areas of statistics, from theoretical to applied, with a special emphasis on mathematical statistics, statistics for the behavioural sciences and biostatistics. This wide scope is reflected by the expertise of the journal’s editors representing these areas. The diverse editorial board is committed to a fast and fair reviewing process, and will judge submissions on quality, correctness, relevance and originality. Statistica Neerlandica encourages transparency and reproducibility, and offers online resources to make data, code, simulation results and other additional materials publicly available.