Estimation procedures for partially accelerated life test model based on unified hybrid censored sample from the Gompertz distribution

Panahi, Hanieh; Lone, Showkat Ahmad

doi:10.17531/ein.2022.3.4

Cited by 20 publications

(6 citation statements)

References 25 publications

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“…Nelson carried out accelerated testing research systematically and proposed the classical cumulative exposure models. 1 This led to the flourishing development of accelerated life testing technology, mainly including data analysis methods for constant stress, step-stress, and progressive stress accelerated life tests, [2][3][4][5][6][7][8][9] optimal design methods, [10][11][12][13][14][15][16] and engineering applications. [17][18][19][20][21][22][23][24][25] However, mechatronic products generally undergo cyclic stresses during service.…”

Section: Introductionmentioning

confidence: 99%

Cyclic stress accelerated life test method for mechatronic products

Wang,

Hu,

Zhang

et al. 2024

Quality & Reliability Eng

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The reliability requirements for mechatronics continue to increase. Traditional life test methods make it difficult to obtain the data required to assess or predict the reliability of these mechatronic products within a reasonable time. Accelerated life tests can speed up the failure process of the product by using accelerated stress conditions. And then test data is obtained to predict the reliable life of the product under normal service conditions through modeling and analysis. The test efficiency of the accelerated life tests is higher than that of the life test. So, the method of accelerated life tests has become a solution for life and reliability prediction of highly reliable and long‐life mechatronic products. However, mechatronic products usually undergo cyclic stress during service. The use of cyclic stress as an accelerating stress in accelerated life tests can provide a realistic representation of service conditions and achieve higher test efficiency. Cyclic stress accelerated life test is an accurate and efficient solution for predicting the life and reliability of such mechatronic products. Current relative research is focused on constant stress, step stress and sequential stress accelerated life tests. A great challenge in engineering is modeling and analysis of cyclic stresses accelerated life tests. In this paper, we first describe the cyclic stress accelerated life test profile and its key parameters, then propose model assumptions and establish a modelling and analysis method for cyclic stress accelerated life test data, followed by an illustrative example to apply and validate the proposed method. The research results can provide technical support for the life and reliability assessment of mechatronic products under cyclic stress service conditions.

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Section: Introductionmentioning

confidence: 99%

Cyclic stress accelerated life test method for mechatronic products

Wang,

Hu,

Zhang

et al. 2024

Quality & Reliability Eng

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“…Lv et al (2022) considered maximum likelihood estimation and Bayesian inference for the two-parameter Gompertz distribution in the context of progressive Type-II censored competing risk samples. Lone and Panahi (2022) investigated the Gompertz distribution using unified hybrid censored data, employing a stochastic expectation-maximization approach to estimate parameters and reduce computational complexity. Under a constant-stress, partially accelerated life test paradigm, Asadi et al (2022) delved into classical and Bayesian inferences of the Gompertz distribution.…”

Section: Introductionmentioning

confidence: 99%

Reliability Inference for Gompertz Distribution Using Pivotal Method under Block Progressive Type-II Censored Data

Kumari,

Tripathi,

Gangopadhyay

et al. 2024

Preprint

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In this paper, we primarily focus on making important deductions regarding the estimates of survival characteristics in the context of block progressive censored data. Specifically, we examine the reliability function, hazard rate function, median time to failure, and variations among different test facilities. Our analysis is centered on the lifetime of test units following the Gompertz distribution. We derive maximum likelihood estimators for unknown quantities and investigate their properties regarding existence and uniqueness. Additionally, we construct approximate confidence intervals for all survival characteristics using the delta method and likelihood theory. Moreover, we develop point and generalized confidence interval estimators through a pivotal quantity-based method. To evaluate the performance of our proposed approaches, we conduct a simulation study and find that the pivotal quantity-based approach yields superior estimation results. Finally, we apply the proposed estimates to analyze real-world data, demonstrating their effectiveness.

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“…Also, for accelerated life-time reliability model (ALTM), Wang et al [24] and Asadi et al [3] considered estimation methods under PrC and adaptive PrC respectively. Further, Lone and Panahi [18] studied the ALTM based on the Gompertz unified Hy censored data. Moreover, the developments and needs in engineering, manufacturing and technology inspire more improved censoring schemes (CS).…”

Section: Introductionmentioning

confidence: 99%

Reliability Estimation of Burr Type III Distribution under Improved Adaptive Progressive Censoring with Application to Surface Coating

Asadi¹,

Panahi²,

Anwar³

et al. 2023

Eksploatacja i Niezawodność – Maintenance and Reliability

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The stress-strength reliability (SSRe) model is widely investigated in reliability engineering to determine the probability of the strength component overcomes the stress imposed on it. In this paper, we studied the estimation of SSRe model based on the Burr III distribution under the improved adaptive progressive type-II censoring scheme (IAPrgCS-II). Estimation methods of the SSRe parameters are developed using frequentist and Bayesian approaches. The point and interval estimations using the maximum likelihood are considered to estimate the parameters. Two approximations are applied to compute the Bayes estimates. A simulation study is conducted for the comparison of the methods of estimation. Also, parallel to the development of reliability studies, it is necessary to study its application in different sciences such as engineering. Therefore, the droplet splashing (DrS) data under two wettabilities are proposed as an application of the considered SSRe model and methods. The results show us that the reliability model can be used to amend the quality of coatings.

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Estimation procedures for partially accelerated life test model based on unified hybrid censored sample from the Gompertz distribution

Cited by 20 publications

References 25 publications

Cyclic stress accelerated life test method for mechatronic products

Cyclic stress accelerated life test method for mechatronic products

Reliability Inference for Gompertz Distribution Using Pivotal Method under Block Progressive Type-II Censored Data

Reliability Estimation of Burr Type III Distribution under Improved Adaptive Progressive Censoring with Application to Surface Coating

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