Inference on adaptive progressive hybrid censored accelerated life test for Gompertz distribution and its evaluation for virus-containing micro droplets data

Asadi, Saeid; Panahi, Hanieh; Swarup, Chetan; Lone, Showkat Ahmad

doi:10.1016/j.aej.2022.02.061

Cited by 20 publications

(8 citation statements)

References 23 publications

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“…PDF (11) and HRF (12) are plotted in Figure 2 for θ � 1.5, λ � 2.0, and diferent values of c and d. It can be noticed that PDF (11) is always unimodal, while HRF ( 12) is always increasing since β > 2.…”

Section: Assumptionsmentioning

confidence: 99%

See 1 more Smart Citation

Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests

Hashem

Abdel-Hamid

2023

Journal of Mathematics

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The objective of ranked set sampling is to gather observations from a population that is more likely to cover the population’s full range of values. In this paper, the ordered ranked set sample is obtained using the idea of order statistics from independent and nonidentically distributed random variables under progressive-stress accelerated life tests. The lifetime of the item tested under normal conditions is suggested to be subject to the Rayleigh distribution with a scale parameter satisfying the inverse power law such that the applied stress is a nonlinear increasing function of time. Considering the type-II censoring scheme, one-sample prediction for censored lifetimes is discussed. Numerous point predictors including the Bayes point predictor, conditional median predictor, and best unbiased predictor for future order statistics are discussed. Additionally, conditional prediction intervals for future order statistics are also studied. The theoretical findings reported in this work are shown by illustrative examples based on simulated data as well as real data sets. The effectiveness of the prediction methods is then evaluated by a Monte Carlo simulation study.

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Section: Assumptionsmentioning

confidence: 99%

“…Several techniques, including progressive stress, step stress, and constant stress, can be used to apply stress to ALTs. For further explanation on ALTs and PALTs, one can refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests

Hashem

Abdel-Hamid

2023

Journal of Mathematics

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“…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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“…Similar studies were considered by Ferreira and Silva [14] for Weibull distribution when right CS is available, Starling et al [23] for improving Weibull distribution using generalized type-I CS, Chiou and Chen [8] for lifetime performance index under type-II CS. 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.…”

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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Inference on adaptive progressive hybrid censored accelerated life test for Gompertz distribution and its evaluation for virus-containing micro droplets data

Cited by 20 publications

References 23 publications

Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests

Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests

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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