Stress–strength reliability analysis of system with multiple types of components using survival signature

Liu, Yiming; Shi, Yimin; Bai, Xuchao; Liu, Bin

doi:10.1016/j.cam.2018.04.029

Cited by 18 publications

(6 citation statements)

References 33 publications

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“…Proof. From equations ( 20) and ( 21), we can obtain that λ i and α ik , k � 0, 1, and 2, exist and are unique by showing that λ i exists and is unique if and only if condition (22) holds. e derivative of H(λ i ) can be expressed as follows:…”

Section: Point Estimationsmentioning

confidence: 99%

“…Statistical inference for the Gompertz distribution has received many authors' attention, such as Wu and Shi [21] considered the BEs of the Gompertz distribution in the competing risks' model under progressively hybrid censoring. Liu et al [22] studied the estimation for stress-strength reliability of the system with multiple types of components based on the Gompertz distribution. Mohie El-Din et al [23] investigated the MLEs and BEs of the Gompertz distribution based on the generalized progressively hybrid censored scheme.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring

Wang

Shi

2021

Mathematical Problems in Engineering

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In this paper, the dependent competing risks’ model is considered in the constant-stress accelerated life test under the adaptive type-II progressive hybrid-censored scheme. The dependency between failure causes is modeled by Marshall–Olkin bivariate Gompertz distribution. The scale and shape parameters in the model both change with the stress levels, and the failure causes of some test units are unknown. Then, the maximum likelihood estimations and approximation confidence intervals of the unknown parameters are considered. And, the necessary and sufficient condition is established for the existence and uniqueness of the maximum likelihood estimations for unknown parameters. The Bayes approach is also employed to estimate the unknown parameters under suitable prior distributions. The Bayes estimations and highest posterior credible intervals of the unknown parameters are obtained. Finally, a simulation experiment has been performed to illustrate the methods proposed in this paper.

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Section: Point Estimationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring

Wang

Shi

2021

Mathematical Problems in Engineering

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“…In practice, uncertainties exist in both stress and strength, thus stress and strength is no longer a constant value as most researchers did [34]. It is proper to describe them by distributions [24]. The reliability of a structure is defined as the probability of strength is larger than stress.…”

Section: Stress-strength Interference Modelmentioning

confidence: 99%

Reliability estimation for momentum wheel bearings considering frictional heat

Huang¹,

Yu²,

Huang³

et al. 2020

Eksploatacja i Niezawodność – Maintenance and Reliability

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“…Where , , ( 0, 1,2) ii c d i  is the parameter of undetermined trend, which can be processed by standard regression analysis. First, the concrete form is fitted, namely, based on the least squares estimation method.…”

Section: Dynamic Timing Estimation Of Characteristic Parameters Of Dementioning

confidence: 99%

“…In 1947, Freudenthal [1] proposed the famous stress-strength interference model, which formed the basis of quantitative analysis design of mechanical component reliability. In the stochastic probabilistic reliability analysis method, the stress and strength are usually assumed as static random variables that are independent of each other [2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Time Series Reliability Analysis for Long-Life Mechanic Parts with Stress-Strength Correlated Interference Model

Suo¹

2019

IJPE

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Based on data of the equivalent stress from the ANSYS for a loaded hollow shaft, the correlation between a mechanical part's elastic modulus and the corresponding Von Mises stress is statistically verified in this paper. Using the Copula correlation theory, a static reliability model involving stress-strength interference is built. According to the performance degradation data of mechanical parts with long-life and high-reliability, deterministic time series models are used to extract the characteristic information of the distribution of degradation variables, and then a method is proposed for estimating the characteristic parameters of degradation strength and integrated stress. Two-stage maximum likelihood estimation is applied to determine the scalar degree of correlation between both, and then a reliability assessment of long-life mechanical parts is completed.

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Stress–strength reliability analysis of system with multiple types of components using survival signature

Cited by 18 publications

References 33 publications

A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring

A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring

Reliability estimation for momentum wheel bearings considering frictional heat

Dynamic Time Series Reliability Analysis for Long-Life Mechanic Parts with Stress-Strength Correlated Interference Model

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