The assessment on the lifetime performance index of products with Gompertz distribution based on the progressive type I interval censored sample

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:351

Article

Wu, Shu-Fei¹  Hsieh, Ya-Ting¹ 

[1] Tamkang Univ, Dept Stat, Taipei 25137, Taiwan

关键词: Progressive type I interval censored sample;    Gompertz distribution;    Maximum likelihood estimator;    Process capability indices;    Testing algorithmic procedure;   

DOI  :  10.1016/j.cam.2018.10.044

来源: Elsevier

【 摘 要 】

It is a very important topic in the manufacturing industry to evaluate whether the quality of products adhered to the desire level. The larger-the-better process capability index (PCI) C-L is frequently used to measure the performance of lifetimes of products. Gompertz distribution has many applications in the lifetime data analysis. The maximum likelihood estimator for C-L is utilized to develop a hypothesis testing procedure with respect to a lower specification limit based on the progressive type I interval censored sample. Finally, two practical examples are given to demonstrate the application of our proposed testing procedure to assess whether the lifetime performance reached the desire level. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free