Inference of the lifetime performance index with power Rayleigh distribution based on progressive first‐failure–censored data

2020 ◽  
Vol 36 (5) ◽  
pp. 1528-1536
Author(s):  
Mohamed Abdul Wahab Mahmoud ◽  
Neveen Mohamed Kilany ◽  
Lobna Hisham El‐Refai
Keyword(s):  
Censored Data ◽  
Performance Index ◽  
Rayleigh Distribution ◽  
Lifetime Performance

Evaluating the lifetime performance index with the inverted exponentiated Rayleigh distribution based on censored sample

2019 ◽  
Vol 10 (05) ◽  
pp. 1950028
Author(s):  
Shuo Gao ◽  
Wenhao Gui
Keyword(s):  
Performance Index ◽  
Hypothesis Test ◽  
Rayleigh Distribution ◽  
Likelihood Method ◽  
Lifetime Performance ◽  
Progressive Type ◽  
Speed Up ◽  
Extensive Numerical Simulation ◽  
Censored Sample ◽  
The Cost

Lifetime performance index is a powerful and effective way to analyze whether a product achieves the specified standards. In this paper, we investigate the lifetime performance index for the inverted exponential Rayleigh distribution using progressive type II censored sample data. The censored sample is able to greatly save the cost of the experiment and speed up the experiment. We derive the estimation value of lifetime performance index using the maximum likelihood method, and conduct the hypothesis test. Based on extensive numerical simulation, the power function is utilized to assess effectiveness of hypothesis testing. The simulation results show that lifetime performance index is good for determining whether the lifetime of the product reaches the criterion. Finally, a practical dataset is provided to give a demonstration for the procedures of lifetime performance evaluation.

Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data

2014 ◽  
Vol 29 (1) ◽  
Author(s):  
Mohamed Abdul Wahab Mahmoud ◽  
Rashad Mohamed El-Sagheer ◽  
Ahmed Abo-Elmagd Soliman ◽  
Ahmed Hamed Abd Ellah
Keyword(s):  
Censored Data ◽  
Performance Index ◽  
Type Ii ◽  
Lomax Distribution ◽  
Lifetime Performance ◽  
Progressive Type ◽  
Type Ii Censored Data

scholarly journals Statistical Inference of the Lifetime Performance Index with the Log-Logistic Distribution Based on Progressive First-Failure-Censored Data

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 937 ◽  
Author(s):  
Ying Xie ◽  
Wenhao Gui
Keyword(s):  
Censored Data ◽  
Performance Index ◽  
Manufacturing Industry ◽  
Interval Estimation ◽  
Real Data ◽  
Logistic Distribution ◽  
Posterior Density ◽  
Data Set ◽  
Lifetime Performance ◽  
Highest Posterior Density

Estimating the accurate evaluation of product lifetime performance has always been a hot topic in manufacturing industry. This paper, based on the lifetime performance index, focuses on its evaluation when a lower specification limit is given. The progressive first-failure-censored data we discuss have a common log-logistic distribution. Both Bayesian and non-Bayesian method are studied. Bayes estimator of the parameters of the log-logistic distribution and the lifetime performance index are obtained using both the Lindley approximation and Monte Carlo Markov Chain methods under symmetric and asymmetric loss functions. As for interval estimation, we apply the maximum likelihood estimator to construct the asymptotic confidence intervals and the Metropolis–Hastings algorithm to establish the highest posterior density credible intervals. Moreover, we analyze a real data set for demonstrative purposes. In addition, different criteria for deciding the optimal censoring scheme have been studied.

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