Imprecise statistical inference for accelerated life testing data: imprecision related to the likelihood ratio test

2018 ◽  
Author(s):  
A.A.H. Ahmadini ◽  
F.P.A Coolen
Keyword(s):  
Statistical Inference ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Accelerated Life Testing ◽  
Ratio Test ◽  
Life Testing ◽  
Accelerated Life ◽  
Testing Data ◽  
Data Imprecision

scholarly journals Statistical inference for the Arrhenius-Weibull accelerated life testing model with imprecision based on the likelihood ratio test

2019 ◽  
Vol 234 (2) ◽  
pp. 275-289
Author(s):  
Abdullah AH Ahmadini ◽  
Frank PA Coolen
Keyword(s):  
Normal Stress ◽  
Statistical Inference ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Accelerated Life Testing ◽  
Ratio Test ◽  
Life Testing ◽  
Accelerated Life ◽  
Stress Levels ◽  
Model Fits

In this article, we present a new imprecise statistical inference method for accelerated life testing data, where nonparametric predictive inferences at normal stress levels are integrated with a parametric Arrhenius-Weibull model. The method includes imprecision based on the likelihood ratio test which provides robustness with regard to the model assumptions. We use the likelihood ratio test to obtain an interval for the parameter of the Arrhenius link function providing imprecision into the method. The imprecision leads to observations at increased stress levels being transformed into interval-valued observations at the normal stress level, where the width of an interval is larger for observations from higher stress levels. If the model fits well, our method has relatively little imprecision. However, if the model fits poorly, it leads to more imprecision. Simulation studies are presented to investigate the performance of the proposed method.

Statistical Inference of Accelerated Life Testing With Dependent Competing Failures Based on Copula Theory

2014 ◽  
Vol 63 (3) ◽  
pp. 764-780 ◽  
Author(s):  
Xiang Po Zhang ◽  
Jian Zhong Shang ◽  
Xun Chen ◽  
Chun Hua Zhang ◽  
Ya Shun Wang
Keyword(s):  
Statistical Inference ◽  
Accelerated Life Testing ◽  
Life Testing ◽  
Copula Theory ◽  
Accelerated Life

Reliability Test and Evaluation Analysis of Silicon Pressure Sensor under Vibration Stress

2011 ◽  
Vol 383-390 ◽  
pp. 6969-6974
Author(s):  
Li Qin ◽  
An Li Shi
Keyword(s):  
Pressure Sensor ◽  
Failure Modes ◽  
Accelerated Life Testing ◽  
Life Testing ◽  
Average Life ◽  
Test And Evaluation ◽  
Inverse Power Law ◽  
Accelerated Life ◽  
Testing Data ◽  
Vibration Stress

The model silicon pressure sensor was taken as the object; in this paper, we built failure physics equation of sensor under the vibration stress based on the failure modes and failure mechanism of pressure sensor, and using vibration stress as the acceleration factor to process accelerated life testing under invariableness stress. The results show that failure physics equation of sensor yields the inverse power law relationship. The estimated value of reliability character and accelerated life equation of sensor under the vibration stress was attained through analyzing testing data and the average life and reliable life of sensor has been attained through reliability evaluation.

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