Block censoring scheme with two-parameter exponential distribution

Ahmadi, Mohammad Vali; Doostparast, Mahdi; Ahmadi, Jafar

doi:10.1080/00949655.2018.1426763

Cited by 10 publications

(7 citation statements)

References 20 publications

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“…For more details on profile likelihood, see Barndorff-Nielsen and Cox 23 for review. Substituting Θ = ( θ11 , θ12 , … , θ𝑘1 , θ𝑘2 ) into (10) and ignoring additive constant terms, the profile log-likelihood function of 𝜆 is given by…”

Section: Maximum Likelihood Estimationmentioning

confidence: 99%

“…Recently, in order to improve test efficiency, a new flexible procedure namely block censoring scheme (BCS) was proposed by Ahmadi et al., 10 and the associated procedure is performed as follows. Suppose n identical units are divided into k groups with

n_{i}(i=1,2,\ldots ,k)

units in i ‐th group.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, it is essential to carry out BCS under more general scenarios from practical perspective. In addition, following Ahmadi et al., 10 it is noted that the testing facilities are treated as same equipments under BCS scenario, but failure information collected from different testing facilities are not exactly identical under such supposed identical testing facilities from practical perspectives. Any influencing factors such as facilities' operating environment, personnel testing specification, data collection accuracy may cause noneligible difference among the data from different testing facilities.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the BCS may provide a more effective way to test units at multiple groups. After proposed by Ahmadi et al 10 where excellent studies are discussion on exponential block censored data, Zhu 11 further developed classical and Bayesian inference for Weibull model under block censoring. Then, there is rare publication on BCS according to our best acknowledge.…”

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confidence: 99%

“…It's concluded that the IEED can be considered as an useful alternative due to its flexible data fitting ability as gamma, Weibull, generalized exponential and inverted exponential distributions, whereas the IEED also appears attractive applications in the fields of accelerated life testing, horse racing, supermarket queues, ocean currents, wind speed among others. In Ahmadi et al 10 's BCS, lifetime experiment is conducted under multiple groups with Type-II censoring. However, such scenario is time and cost consuming due to high reliable and long life-cycle of modern products.…”

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confidence: 99%

See 4 more Smart Citations

Inference for block progressive censored competing risks data from an inverted exponentiated exponential model

Wang

Lin

et al. 2023

Quality & Reliability Eng

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In this paper, reliability estimation for a competing risks model is discussed under a block progressive censoring scheme, which improves experimental efficiency through testing items under different testing facilities. When the lifetime of units follows an inverted exponentiated exponential distribution (IEED) and taking difference in testing facilities into account, various approaches are established for estimating unknown parameters, reliability performances and the differences in different testing facilities. Maximum likelihood estimators of IEED competing risks parameters together with existence and uniqueness are established, and the reliability performances and the difference in different testing facilities are also obtained in consequence. In addition, a hierarchical Bayes approach is proposed and the Metropolis‐Hastings sampling algorithm is constructed for complex posterior computation. Finally, extensive simulation studies and a real data analysis are carried out to elaborate the performance of the methods, and the numerical results show that the proposed hierarchical Bayes model outperforms than classical likelihood method under block progressive censoring.

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Section: Maximum Likelihood Estimationmentioning

confidence: 99%