Inferences for Exponentiated Gamma Constant‐Stress Partially Accelerated Life Test Model Based on Generalized Type‐I Hybrid Censored Data

Rabie, Abdalla; Ahmad, A.A.; Barry, Thierno; Aljohani, Hassan M.; Alfaer, Nada M.; Alghamdi, Abdulaziz

doi:10.1155/2021/5424630

Cited by 3 publications

(4 citation statements)

References 14 publications

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“…where 􏽢 λ B (a 1 , b 1 ) and 􏽢 θ B (a 2 , b 2 ) stand for Bayesian estimated values of λ and θ under the effect of both SEL function and the LINEX loss function. For further information, we refer to [13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: E-bayesian Estimation Methodsmentioning

confidence: 99%

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Estimations in a Constant‐Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type‐II Hybrid Censoring Scheme

Rabie

Hussam

Muse³

et al. 2022

Journal of Mathematics

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The constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss functions, mainly the squared error loss (SEL) and LINEX loss functions. Bayesian and E-Bayesian estimates are obtained using Markov chain Monte Carlo (MCMC) methods. To prove the applicability and the importance of the subject, a test for real data will be provided. To evaluate the distribution’s effectiveness, we utilized a variety of datasets and proposed several kinds of censoring. Finally, all results are compared in order to determine the effectiveness of the proposed methods. All major findings are concluded in the conclusion section.

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Section: E-bayesian Estimation Methodsmentioning

confidence: 99%

“…e E-Bayesian estimated value of λ is obtained using the SEL function from (19), (25), and (27) as follows:…”

Section: E-bayesian Estimate Of λmentioning

confidence: 99%

Estimations in a Constant‐Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type‐II Hybrid Censoring Scheme

Rabie

Hussam

Muse³

et al. 2022

Journal of Mathematics

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“…(4) e cumulative exposure models are used to determine how stress affects failure time as it progresses through one level to the next (see, e.g., Nelson [1]). ( 5) Regarding the relation in (3) and by making some mathematical simplifications, we can define θ i � θ 1 h b i , where h i � u 1 /u i . Assume the test begins with n units, and the stress level in each level is ordered as follows:…”

Section: Psalt Assumptions and Acceleration Modelmentioning

confidence: 99%

“…Watkins and John [2] studied the constant-stress accelerated life tests under type-II censoring at one of the stress levels. Rabie et al [3] made statistical inferences for Exponentiated Gamma distribution using constant stress partially accelerated based on generalized type-I hybrid censored data. Bantan et al [4] discussed Bayesian analysis in partially accelerated life tests for weighted Lomax distribution.…”

Section: Introductionmentioning

confidence: 99%

Single and Multiple Ramp Progressive Stress with Binomial Removal: Practical Application for Industry

Hussam

Alharbi

Almetwally

et al. 2022

Mathematical Problems in Engineering

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The objective of this article is to conduct a full study on the failure times of items when subjected to a progressive-stress accelerated life test. These failure times follow the Modified Kies exponential distribution. We performed the experiments under a type-II censoring scheme with binomial removal. The stress design has two ways to be applied either the simple ramp-stress test or the multiple ramp-stress level design of acceleration. We made a comparison between these two designs to decide which design is better. When the lifetime of test units follows the Modified Kies distributions, the cumulative exposure model has been used to apply the acceleration on the failure times to produce early failures. The simulation study was done to compare two types of progressive-stress designs. Different estimation techniques such as maximum likelihood estimation and Bayes estimation are employed to estimate the model parameters. The Metropolis Hasting method is used to derive the Bayesian estimates under symmetric and asymmetric loss functions. We also developed interval estimation as well as point estimation, and we estimated the asymptotic confidence intervals, bootstrap, and credible for the distribution parameters. We made a comparison between different estimation methods. We used real data from a practical experiment as a real data set example to assess the performance of the estimations methods. These data are analyzed to demonstrate the adequacy and superiority of the distribution to fit accelerated failure times. Also, we studied the existence and uniqueness of the roots and we used graphs to assure that the estimates used are unique and global maximum. Finally, some noteworthy conclusions are reached.

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Exponentiated gamma constant-stress partially accelerated life tests with unified hybrid censored data: Statistical inferences

Alrashidi,

Rabie,

Mahmoud

et al. 2024

Alexandria Engineering Journal

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Inferences for Exponentiated Gamma Constant‐Stress Partially Accelerated Life Test Model Based on Generalized Type‐I Hybrid Censored Data

Cited by 3 publications

References 14 publications

Estimations in a Constant‐Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type‐II Hybrid Censoring Scheme

Estimations in a Constant‐Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type‐II Hybrid Censoring Scheme

Single and Multiple Ramp Progressive Stress with Binomial Removal: Practical Application for Industry

Exponentiated gamma constant-stress partially accelerated life tests with unified hybrid censored data: Statistical inferences

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