Volume 8, Issue 4 (Vol. 8,No. 4, 2022)
mmr 2022, 8(4): 19-43 |
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Jafari A A. Inference on Lifetime Performance Index of Two-Parameter Exponential Distribution: Censored and Record Dat. mmr 2022; 8 (4) :19-43
URL: http://mmr.khu.ac.ir/article-1-2823-en.html
URL: http://mmr.khu.ac.ir/article-1-2823-en.html
1- Yazd University , aajafari@yazd.ac.ir
Abstract: (985 Views)
Introduction
Improving the quality, compliance rate and product life is a priority in manufacturing industries. If the performance of a process is evaluated by the lifetime of a product, it is clear that a larger lifetime indicates better product quality and higher process capability, and this process is accepted. For instance, the lifetime of electronic components exhibits a larger-the-better type of quality characteristic. The process capability index is one of the indicators for evaluating the capability of a process. To measure the larger-the-better quality characteristic, a process capability index has been defined asC L = μ - L σ 0 ≤ L < ∞ , μ σ L
In various manufacturing and service processes, the assumption of normality is often not valid. The two-parameter exponential distribution has many applications in engineering, biological studies, epidemiology, and medical sciences. In engineering analysis, the location parameter is called the threshold value or warranty time and the scale parameter is the expected average as well as warranty life. If the lifetime of a manufactured product follows a two-parameter exponential distribution with location parameterθ λ C L =1 - 1 λ L - θ
Material and methods
Since the performance capability index has been used in industries, point estimation, construction of confidence intervals, and testing the hypothesis about this index have been considered. However, the classical inference cannot be applied toC L
Results and discussion
We study the coverage probability and expected length of the proposed generalized confidence interval forC L λ L θ
Conclusion
The following conclusions were drawn from this research.
Improving the quality, compliance rate and product life is a priority in manufacturing industries. If the performance of a process is evaluated by the lifetime of a product, it is clear that a larger lifetime indicates better product quality and higher process capability, and this process is accepted. For instance, the lifetime of electronic components exhibits a larger-the-better type of quality characteristic. The process capability index is one of the indicators for evaluating the capability of a process. To measure the larger-the-better quality characteristic, a process capability index has been defined as
In various manufacturing and service processes, the assumption of normality is often not valid. The two-parameter exponential distribution has many applications in engineering, biological studies, epidemiology, and medical sciences. In engineering analysis, the location parameter is called the threshold value or warranty time and the scale parameter is the expected average as well as warranty life. If the lifetime of a manufactured product follows a two-parameter exponential distribution with location parameter
Material and methods
Since the performance capability index has been used in industries, point estimation, construction of confidence intervals, and testing the hypothesis about this index have been considered. However, the classical inference cannot be applied to
Results and discussion
We study the coverage probability and expected length of the proposed generalized confidence interval for
Conclusion
The following conclusions were drawn from this research.
- The minimum variance unbiased estimator for
- The proposed generalized inference for
- This article contains all results in other papers such as Lee et al. (2011) and Gunasekera, and Wijekularathna (2019).
- Different indicators have been introduced to evaluate the process’s capability. Some of the most important ones that are widely used in manufacturing industries have been introduced by Wooluru et al. (2014). The methods introduced in this paper, can be generalized and used for these process capability indicators.
Type of Study: S |
Subject:
stat
Received: 2018/08/10 | Revised: 2023/06/18 | Accepted: 2021/04/21 | Published: 2022/12/31 | ePublished: 2022/12/31
Received: 2018/08/10 | Revised: 2023/06/18 | Accepted: 2021/04/21 | Published: 2022/12/31 | ePublished: 2022/12/31
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