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In survival analysis, it often happens that some individuals, referred to as cured individuals, never experience the event of interest. When analyzing time-to-event data with a cure fraction, it is crucial to check the assumption of…

统计方法学 · 统计学 2023-09-06 Ping Xie , Mikael Escobar-Bach , Ingrid Van Keilegom

In survival analysis, estimating the fraction of 'immune' or 'cured' subjects who will never experience the event of interest, requires a sufficiently long follow-up period. A few statistical tests have been proposed to test the assumption…

统计方法学 · 统计学 2026-01-13 Tsz Pang Yuen , Eni Musta , Ingrid Van Keilegom

We calculate finite sample and asymptotic distributions for the largest censored and uncensored survival times, and some related statistics, from a sample of survival data generated according to an iid censoring model. These statistics are…

统计理论 · 数学 2021-09-14 Ross Maller , Sidney Resnick , Soudabeh Shemehsavar

In order to estimate the proportion of `immune' or `cured' subjects who will never experience failure, a sufficiently long follow-up period is required. Several statistical tests have been proposed in the literature for assessing the…

统计方法学 · 统计学 2026-01-12 Tsz Pang Yuen , Eni Musta

In the era of fast-paced precision medicine, observational studies play a major role in properly evaluating new treatments in clinical practice. Yet, unobserved confounding can significantly compromise causal conclusions drawn from…

机器学习 · 统计学 2026-03-20 Piersilvio De Bartolomeis , Javier Abad , Konstantin Donhauser , Fanny Yang

We study nonasymptotic (finite-sample) confidence intervals for treatment effects in randomized experiments. In the existing literature, the effective sample sizes of nonasymptotic confidence intervals tend to be looser than the…

Randomly censored survival data are frequently encountered in applied sciences including biomedical or reliability applications and clinical trial analyses. Testing the significance of statistical hypotheses is crucial in such analyses to…

统计方法学 · 统计学 2019-01-08 Abhik Ghosh , Ayanendranath Basu , Leandro Pardo

For the analysis of a time-to-event endpoint in a single-arm or randomized clinical trial it is generally perceived that interpretation of a given estimate of the survival function, or the comparison between two groups, hinges on some…

统计方法学 · 统计学 2023-04-17 Kaspar Rufibach , Lynda Grinsted , Jiang Li , Hans-Jochen Weber , Cheng Zheng , Jiangxiu Zhou

Statistical samples, in order to be representative, have to be drawn from a population in a random and unbiased way. Nevertheless, it is common practice in the field of model-based diagnosis to make estimations from (biased) best-first…

人工智能 · 计算机科学 2022-08-05 Patrick Rodler , Fatima Elichanova

Using fixed point characterization, we develop a new goodness of fit test for uniform distribution. We also discuss how the right censored observations can be incorporated in the proposed test procedure. We study the asymptotic properties…

统计方法学 · 统计学 2021-06-14 Sudheesh K. Kattumannil , Sreedevi E. P

Recent years have seen tremendous advances in the theory and application of sequential experiments. While these experiments are not always designed with hypothesis testing in mind, researchers may still be interested in performing tests…

计量经济学 · 经济学 2023-06-29 Karun Adusumilli

For right censored survival data, it is well known that the mean survival time can be consistently estimated when the support of the censoring time contains the support of the survival time. In practice, however, this condition can be…

统计理论 · 数学 2013-08-01 Ying Ding , Bin Nan

Recently, the characterization based approach for the construction of goodness of fit tests has become popular. Most of the proposed tests have been designed for complete i.i.d. samples. Here we present the adaptation of the recently…

统计方法学 · 统计学 2021-08-11 Marija Cuparić , Bojana Milošević

A finite set is "hidden" if its elements are not directly enumerable or if its size cannot be ascertained via a deterministic query. In public health, epidemiology, demography, ecology and intelligence analysis, researchers have developed a…

统计理论 · 数学 2019-10-17 Si Cheng , Daniel J. Eck , Forrest W. Crawford

Ranking populations such as institutions based on certain characteristics is often of interest, and these ranks are typically estimated using samples drawn from the populations. Due to sample randomness, it is important to quantify the…

统计方法学 · 统计学 2025-12-08 Onrina Chandra , Min-ge Xie

The analysis of a truncated sample can be hindered by censoring. Survival information may be lost to follow-up or the birthdate may be missing. The data can still be modeled as a truncated point process and it is close to a Poisson process,…

统计方法学 · 统计学 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

Not all experiments publish their results with a description of the correlations between the data points. This makes it difficult to do hypothesis tests or model fits with that data, since just assuming no correlation can lead to an over-…

数据分析、统计与概率 · 物理学 2021-06-30 Lukas Koch

A survival dataset describes a set of instances (e.g. patients) and provides, for each, either the time until an event (e.g. death), or the censoring time (e.g. when lost to follow-up - which is a lower bound on the time until the event).…

机器学习 · 计算机科学 2023-06-22 Ali Hossein Gharari Foomani , Michael Cooper , Russell Greiner , Rahul G. Krishnan

The issue of missing values is an arising difficulty when dealing with paired data. Several test procedures are developed in the literature to tackle this problem. Some of them are even robust under deviations and control type-I error quite…

统计方法学 · 统计学 2019-12-12 Lubna Amro , Markus Pauly , Burim Ramosaj

In survival analysis the random censorship model refers to censoring and survival times being independent of each other. It is one of the fundamental assumptions in the theory of survival analysis. We explain the reason for it being so…

应用统计 · 统计学 2017-03-06 Damjan Krstajic
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