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In recent years, more attention has been paid prominently to accelerated degradation testing in order to characterize accurate estimation of reliability properties for systems that are designed to work properly for years of even decades.…

Applications · Statistics 2021-09-23 Helmi Shat

Accelerated degradation tests are used to provide accurate estimation of lifetime characteristics of highly reliable products within a relatively short testing time. Data from particular tests at high levels of stress (e.g., temperature,…

Applications · Statistics 2021-06-07 Helmi Shat , Rainer Schwabe

Many highly reliable products are designed to function for years without failure. For such systems accelerated degradation testing may provide significance information about the reliability properties of the system. In this paper, we…

Applications · Statistics 2021-10-13 Helmi Shat , Rainer Schwabe

Engineers in the manufacturing industries have used accelerated test (AT) experiments for many decades. The purpose of AT experiments is to acquire reliability information quickly. Test units of a material, component, subsystem or entire…

Methodology · Statistics 2007-08-03 Luis A. Escobar , William Q. Meeker

Polymeric materials are widely used in many applications and are especially useful when combined with other polymers to make polymer composites. The appealing features of these materials come from their having comparable levels of strength…

Applications · Statistics 2018-04-13 Caleb King , Zhibing Xu , I-Chen Lee , Yili Hong

Recently, a step-stress accelerated degradation test (SSADT) plan, in which the stress level is elevated when the degradation value of a product crosses a pre-specified value, was proposed. The times of stress level elevating are random and…

Applications · Statistics 2014-12-18 Morteza Amini , Soudabeh Shemehsavar , Zhengqiang Pan

Accelerated degradation testing (ADT) is one of the major approaches in reliability engineering which allows accurate estimation of reliability characteristics of highly reliable systems within a relatively short time. The testing data are…

Applications · Statistics 2021-06-28 Helmi Shat , Norbert Gaffke

Semiconductors are widely used in various applications and critical infrastructures. These devices have specified lifetimes and quality targets that manufacturers must achieve. Lifetime estimation is conducted through accelerated stress…

Applications · Statistics 2025-01-14 Lukas Sommeregger , Jürgen Pilz

Successful modeling of degradation performance data is essential for accurate reliability assessment and failure predictions of highly reliable product units. The degradation performance measurements over time are highly heterogeneous. Such…

Applications · Statistics 2021-08-17 Xuxue Sun , Wenjun Cai , Qiong Zhang , Mingyang Li

Accelerated life-tests (ALTs) are used for inferring lifetime characteristics of highly reliable products. In particular, step-stress ALTs increase the stress level at which units under test are subject at certain pre-fixed times, thus…

Statistics Theory · Mathematics 2024-02-12 Narayanaswamy Balakrishnan , Maria Jaenada , Leandro Pardo

In this paper, we consider the situation under a life test, in which the failure time of the test units are not related deterministically to an observable stochastic time varying covariate. In such a case, the joint distribution of failure…

Statistics Theory · Mathematics 2014-06-18 S. Shemehsavar , Morteza Amini

One-shot devices data represent an extreme case of interval censoring.Some kind of one-shot units do not get destroyed when tested, and so, survival units can continue within the test providing extra information about their lifetime.…

Statistics Theory · Mathematics 2022-05-17 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

Accelerated life tests (ALTs) play a crucial role in reliability analyses, providing lifetime estimates of highly reliable products. Among ALTs, step-stress design increases the stress level at predefined times, while maintaining a constant…

Statistics Theory · Mathematics 2024-02-12 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

This paper analytically investigates the optimal design of gamma degradation tests, including the number of test units, the number of inspections, and inspection times. We first derive optimal designs with periodic inspection times under…

Methodology · Statistics 2025-08-14 Hung-Ping Tung , Yu-Wen Chen

A reasonable description of the degradation process is essential for credible reliability assessment in accelerated degradation testing. Existing methods usually use Markovian stochastic processes to describe the degradation process.…

Applications · Statistics 2025-06-12 Shi-Shun Chen , Xiao-Yang Li , Wenrui Xie

Accelerated destructive degradation tests (ADDT) are widely used in industry to evaluate materials' long term properties. Even though there has been tremendous statistical research in nonparametric methods, the current industrial practice…

Methodology · Statistics 2015-12-10 Yimeng Xie , Caleb B. King , Yili Hong , Qingyu Yang

Degradation models play a critical role in quality engineering by enabling the assessment and prediction of system reliability based on data. The objective of this paper is to provide an accessible introduction to degradation models. We…

Considerable interest has recently been focused on studying multiple phenotypes simultaneously in both epidemiological and genomic studies, either to capture the multidimensionality of complex disorders or to understand shared etiology of…

Methodology · Statistics 2015-11-26 Denis Agniel , Katherine P. Liao , Tianxi Cai

Traditional accelerated life test plans are typically based on optimizing the C-optimality for minimizing the variance of an interested quantile of the lifetime distribution. The traditional methods rely on some specified planning values…

Applications · Statistics 2018-12-04 Lu Lu , I-Chen Lee , Yili Hong

One-shot devices analysis involves an extreme case of interval censoring, wherein one can only know whether the failure time is either before or after the test time. Some kind of one-shot devices do not get destroyed when tested, and so can…

Methodology · Statistics 2022-04-26 Narayanaswamy Balakrishnan , Elena Castilla , María Jaenada , Leandro Pardo
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