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Estimation procedures for partially accelerated life test model based on unified hybrid censored sample from the Gompertz distribution
 
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Online publication date: 2022-06-01
Publication date: 2022-06-01
 
Eksploatacja i Niezawodność – Maintenance and Reliability 2022;24(3):427–436
 
HIGHLIGHTS
  • Statistical inference methods are developed for constant-stress partially accelerated life testing under unified hybrid censoring scheme.
  • Component lifetimes are assumed to follow Gompertz distributions.
  • Different point estimation methods are discussed using the classical and Bayesian approaches.
  • The existence of the maximum likelihood estimate of the parameters of the proposed model is proved.
  • Asymptotic and Bootstrap confidence intervals are given for model parameters and accelerated factor.
  • Numerical studies show that the MAP estimates perform superior than the MLEs (or MPSs) with respect to the smallest MSE values.
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ABSTRACT
The accelerated life testing is the key methodology of evaluating product reliability rapidly. This paper presents statistical inference of Gompertz distribution based on unified hybrid censored data under constant-stress partially accelerated life test (CSPALT) model. We apply the stochastic expectation-maximization algorithm to estimate the CSPALT parameters and to reduce computational complexity. It is shown that the maximum likelihood estimates exist uniquely. Asymptotic confidence intervals and confidence intervals using bootstrap-p and bootstrap-t methods are constructed. Moreover the maximum product of spacing (MPS) and maximum a posteriori (MAP) estimates of the model parameters and accelerated factor are discussed. The performances of the various estimators of the CSPALT parameters are compared through the simulation study. In summary, the MAP estimates perform superior than MLEs (or MPSs) with respect to the smallest MSE values.
 
CITATIONS (9):
1.
Technological Methods for Controlling the Elastic-Deformable State in Turning and Grinding Shafts of Low Stiffness
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2.
Enhancing the Fatigue of Mechanical Systems Such as Dispensers Entrenched on Generalized Life-Stress Models and Sample Sizes
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3.
Influence of the Compliance of a Technological System on the Machining Accuracy of Low-Stiffness Shafts in the Grinding Process
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4.
Comparative Study with Applications for Gompertz Models under Competing Risks and Generalized Hybrid Censoring Schemes
Laila Al-Essa, Ahmed Soliman, Gamal Abd-Elmougod, Huda Alshanbari
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5.
Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests
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Estimation for two Gompertz populations under a balanced joint progressive Type-II censoring scheme
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Journal of Applied Statistics
 
7.
Stress-strength reliability estimation for the inverted exponentiated Rayleigh distribution under unified progressive hybrid censoring with application
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Electronic Research Archive
 
8.
Estimations and optimal censoring schemes for the unified progressive hybrid gamma-mixed Rayleigh distribution
Showkat Lone, Hanieh Panahi, Sadia Anwar, Sana Shahab
Electronic Research Archive
 
9.
Inference for a constant-stress model under progressive type-II censored data from the truncated normal distribution
Mohamed Sief, Xinsheng Liu, El-Raheem Abd
Computational Statistics
 
eISSN:2956-3860
ISSN:1507-2711