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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 properties of highly reliable products within a relatively short testing time. There data from particular tests at high levels of stress (e.\,g.\ temperature,…

Applications · Statistics 2021-10-13 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

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

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

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

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

This paper proposes a gamma process for modelling the damage that accumulates over time in the lumber used in structural engineering applications when stress is applied. The model separates the stochastic processes representing features…

Applications · Statistics 2017-08-25 Samuel W. K. Wong , James V. Zidek

The gamma process is a natural model for monotonic degradation processes. In practice, it is desirable to extend the single gamma process to incorporate measurement error and to construct models for the degradation of several nominally…

Methodology · Statistics 2024-06-18 Ryan Leadbetter , Gabriel Gonzalez Caceres , Aloke Phatak

Accelerated life testing (ALT) is a method of reducing the lifetime of components through exposure to extreme stress. This method of obtaining lifetime information involves the design of a testing experiment, i.e., an accelerated test plan.…

Applications · Statistics 2025-11-10 Owen McGrath , Kevin Burke

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…

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

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

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

This paper develops maintenance policies for a system under condition monitoring. We assume that a number of defects may develop and the degradation process of each defect follows a gamma process, respectively. The system is inspected…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Shaomin Wu , Inma T. Castro

The modeling and analysis of degradation data have been an active research area in reliability and system health management. As the senor technology advances, multivariate sensory data are commonly collected for the underlying degradation…

Applications · Statistics 2021-10-19 Yueyao Wang , I-Chen Lee , Yili Hong , Xinwei Deng

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

Degradation modeling has traditionally relied on historical signals to estimate the behavior of the underlying degradation process. Many models assume that these historical signals are acquired under the same environmental conditions and…

Applications · Statistics 2014-12-04 Rensheng Zhou , Nicoleta Serban , Nagi Gebraeel

This paper addresses the problem of estimating multiplicative fault signals in linear time-invariant systems by processing its input and output variables, as well as designing an input signal to maximize the accuracy of such estimates. The…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Gabriel de Albuquerque Gleizer , Peyman Mohajerin Esfahani , Tamas Keviczky

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
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