Parametric inference for multiple repairable systems under dependent competing risks

Somboonsavatdee, Anupap; Sen, Ananda

doi:10.1002/asmb.2079

Cited by 8 publications

(3 citation statements)

References 21 publications

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“…Such dependence should be considered by collective warranty models (Luo & Wu, 2018b, 2018a. Somboonsavatdee and Sen (2015) focuses on the analysis of repairable systems that are subject to multiple sources of recurrence, which assumes that dependence among the cause-specific recurrent processes is induced via a shared frailty structure.…”

Section: Fig 3 Evolution Of Warranty Policy Optimisationmentioning

confidence: 99%

A comprehensive analysis of warranty claims and optimal policies

Luo

2019

European Journal of Operational Research

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Nowadays many products, such as 3C products (Computer, Communication and Consumer Electronics) and cars, consist of software and hardware. The causes of warranty claims of such products may be attributed to software specific failures, hardware specific failures, software-hardware interaction failures and human errors. Apparently, those causes may be dependent. For example, one may claim warranty due to the malfunction of the embedded software in a product item and then the entire item may be replaced. Nevertheless, the existing research on warranty management studies mainly concentrates on warranty analysis of hardware subsystems, assuming that the warranty claims are statistically independent of those caused by the failures of software subsystems or human factors, that is, the interactions between those causes are neglected. This paper investigates warranty costs incurred due to those three subsystems with a focus on their interactions. It estimates the costs due to different cause, develops integrated warranty cost models and optimises warranty policies considering the above possible combinations. Numerical examples are given to illustrate the proposed models.

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Section: Fig 3 Evolution Of Warranty Policy Optimisationmentioning

confidence: 99%

A comprehensive analysis of warranty claims and optimal policies

Luo

2019

European Journal of Operational Research

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“…Also, the number of competing causes is generally fixed, see Crowder for an overview on classical competing risks models and their application. In presence of dependency (see for an example where the dependence is due to the sharing of a common frailty random variable by the competing risks), it is generally the cause specific hazard rates that are estimated. The number of competing causes may also sometimes be random, see for an example in biostatistics.…”

Section: Introductionmentioning

confidence: 99%

Partially observed competing degradation processes: modeling and inference

Bordes

Mercier

Rémy

et al. 2016

Appl Stoch Models Bus & Ind

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International audienceThe aim of the present paper is the stochastic modeling and statistical inference of a component which deteriorates over time, for prediction purpose. The deterioration is due to defects which appear one by one and next independently propagate over time. The motivation comes from an application to passive components within electric power plants, where (measurable) aw indications rst initiate (one at a time) and next grow over time. The available data come from inspections at discrete times, where only the largest aw indication is measured together with the total number of indications on each component. Though detected, too small indications cannot be measured, leading to censored observations. Taking into account this partial information coming from the eld, a specic stochastic model is proposed, where the aw indications initiate according to a Poisson process and next propagate according to competing independent gamma processes. A parametric estimation procedure is developed, tested on simulated data and then applied to the industrial case. The tted model is next used to make some prediction over the future deterioration of each component and over its residual operating time until a specied critical degradation level is reached

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“…modes. For reliability models under competing risks, most research has been carried out considering statistical independence of component failure (CROWDER et al, 1994;HØYLAND;RAUSAND, 2009;SOMBOONSAVATDEE;SEN, 2015b;TODINOV, 2015;SCARF, 2017). Thus, one assumes that independent risks are equivalent to independent causes of failure.…”

Section: Competing Risksmentioning

confidence: 99%

Statistical inference for non-homogeneous Poisson process with competing risks: a repairable systems approach under power-law process

Almeida¹

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Parametric inference for multiple repairable systems under dependent competing risks

Cited by 8 publications

References 21 publications

A comprehensive analysis of warranty claims and optimal policies

A comprehensive analysis of warranty claims and optimal policies

Partially observed competing degradation processes: modeling and inference

Statistical inference for non-homogeneous Poisson process with competing risks: a repairable systems approach under power-law process

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