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With double-truncated lifespans, we test the hypothesis of a parametric distribution family for the lifespan. The typical finding from demography is an instationary behaviour of the life expectancy, and a copula models the resulting weak…

Methodology · Statistics 2025-10-14 Anne-Marie Toparkus , Rafael Weissbach

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,…

Methodology · Statistics 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

Methodology · Statistics 2021-10-19 Rafael Weißbach , Dominik Wied

Truncation is a statistical phenomenon that occurs in many time to event studies. For example, autopsy-confirmed studies of neurodegenerative diseases are subject to an inherent left and right truncation, also known as double truncation.…

Methodology · Statistics 2018-03-28 Lior Rennert , Sharon X. Xie

Testing for association or dependence between pairs of random variables is a fundamental problem in statistics. In some applications, data are subject to selection bias that causes dependence between observations even when it is absent from…

Methodology · Statistics 2020-10-13 Yaniv Tenzer , Micha Mandel , Or Zuk

Our model for the lifespan of an enterprise is the geometric distribution. We do not formulate a model for enterprise foundation, but assume that foundations and lifespans are independent. We aim to fit the model to information about…

Methodology · Statistics 2026-03-16 Eric Scholz , Rafael Weißbach

Proper econometric analysis should be informed by data structure. Many forms of financial data are recorded in discrete-time and relate to products of a finite term. If the data comes from a financial trust, it will often be further subject…

Statistics Theory · Mathematics 2024-12-24 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan

Databases derived from electronic health records (EHRs) are commonly subject to left truncation, a type of selection bias induced due to patients needing to survive long enough to satisfy certain entry criteria. Standard methods to adjust…

Methodology · Statistics 2022-03-01 Arjun Sondhi

In prevalent cohort studies with follow-up, the time-to-event outcome is subject to left truncation leading to selection bias. For estimation of the distribution of time-to-event, conventional methods adjusting for left truncation tend to…

Methodology · Statistics 2025-12-29 Yuyao Wang , Andrew Ying , Ronghui Xu

In some randomized clinical trials, patients may die before the measurements of their outcomes. Even though randomization generates comparable treatment and control groups, the remaining survivors often differ significantly in background…

Applications · Statistics 2018-03-07 Fan Yang , Peng Ding

In this article, the analysis of left truncated and right censored competing risks data is carried out, under the assumption of the latent failure times model. It is assumed that there are two competing causes of failures, although most of…

Methodology · Statistics 2020-08-19 Debasis Kundu , Debanjan Mitra , Ayon Ganguly

In prevalent cohort studies with delayed entry, time-to-event outcomes are often subject to left truncation where only subjects that have not experienced the event at study entry are included, leading to selection bias. Existing methods for…

Methodology · Statistics 2025-12-25 Yuyao Wang , Andrew Ying , Ronghui Xu

Left-truncated survival data commonly arise in prevalent cohort studies, where only individuals who have experienced disease onset and survived until enrollment in the study. When the onset process follows a stationary Poisson process, the…

Methodology · Statistics 2025-12-23 Jinwoo Lee , Donghwan Lee , Hyunwoo Lee , Jiyu Sun

Many types of bounded data defined on the unit interval arise naturally as ratios of the form $X/(X + Y)$. In the existing literature, the main statistical models proposed for this type of bounded data typically based on the assumption that…

Methodology · Statistics 2026-03-04 Roberto Vila , Felipe Quintino , Marcelo Bourguignon

In this paper, we develop double acceptance sampling plan and group acceptance sampling plan for an inverse Weibull distribution based on a truncated life test. We consider the median lifetime of the test units as a quality parameter and…

Applications · Statistics 2017-11-21 Sukhdev Singh , Yogesh Mani Tripathi

We consider the well-known problem of the computation of the (limiting) time-dependent performance characteristics of one-dimensional continuous-time birth and death processes on $\mathbb{Z}$ with time varying and possible state-dependent…

Probability · Mathematics 2021-10-18 Yacov Satin , Rostislav Razumchik , Alexander Zeifman , Ivan Kovalev

In clinical and epidemiological research doubly truncated data often appear. This is the case, for instance, when the data registry is formed by interval sampling. Double truncation generally induces a sampling bias on the target variable,…

Methodology · Statistics 2023-01-11 Jacobo de Uña-Álvarez

The analysis left truncated and right censored data is very common in survival and reliability analysis. In lifetime studies patients often subject to left truncation in addition to right censoring. For example, in bone marrow transplant…

Methodology · Statistics 2021-11-16 Sudheesh , K. K. , Anjana , S. , Xie , M

Truncated multivariate distributions arise extensively in econometric modelling when non-negative random variables are intrinsic to the data-generation process. More broadly, truncated multivariate distributions have appeared in censored…

Statistics Theory · Mathematics 2019-06-04 Michael Levine , Donald Richards , Jianxi Su

Prediction of the remaining life of high-voltage power transformers is an important issue for energy companies because of the need for planning maintenance and capital expenditures. Lifetime data for such transformers are complicated…

Applications · Statistics 2009-08-21 Yili Hong , William Q. Meeker , James D. McCalley
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