Reliability Analysis of ZZ Distribution Under Zero Failure Data
It is a deviation reality that lifespan of some products is described by common distributions. However，the ZZ distribution can better describe the lifespan distribution of this type of product. In order tostudy the reliability of the ZZ distribution under the condition of no failure data, and the re...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2020-10-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1884 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849390894542749696 |
|---|---|
| author | LEI Lu ZHANG Guozhi WANG Ping |
| author_facet | LEI Lu ZHANG Guozhi WANG Ping |
| author_sort | LEI Lu |
| collection | DOAJ |
| description | It is a deviation reality that lifespan of some products is described by common distributions. However，the ZZ distribution can better describe the lifespan distribution of this type of product. In order tostudy the reliability of the ZZ distribution under the condition of no failure data, and the reliability function is transformed, and the concavity and convexity is used to obtain a more precise relationship between the reliability of the products at each detection time Further, under the prior distribution is the uniform distribution or more general distribution, Bayesian Estimation of the reliability at each moment is given Meanwhile, according to the optimal confidence lower limit formula of known function with confidence level of 1－α in the case of no failure data, the optimal confidence lower limit expression of the reliability function is given, and the simplified form that is convenient to use is obtained in several special cases. |
| format | Article |
| id | doaj-art-47c09df3b2c14409bc10b4aaf1b338b0 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-10-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-47c09df3b2c14409bc10b4aaf1b338b02025-08-20T03:41:15ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-10-01250516417010.15938/j.jhust.2020.05.023Reliability Analysis of ZZ Distribution Under Zero Failure DataLEI Lu0ZHANG Guozhi1WANG Ping2School of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaIt is a deviation reality that lifespan of some products is described by common distributions. However，the ZZ distribution can better describe the lifespan distribution of this type of product. In order tostudy the reliability of the ZZ distribution under the condition of no failure data, and the reliability function is transformed, and the concavity and convexity is used to obtain a more precise relationship between the reliability of the products at each detection time Further, under the prior distribution is the uniform distribution or more general distribution, Bayesian Estimation of the reliability at each moment is given Meanwhile, according to the optimal confidence lower limit formula of known function with confidence level of 1－α in the case of no failure data, the optimal confidence lower limit expression of the reliability function is given, and the simplified form that is convenient to use is obtained in several special cases.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1884zz distributionreliability functionzerofailure databayesian estimationoptimal lower confidence limit |
| spellingShingle | LEI Lu ZHANG Guozhi WANG Ping Reliability Analysis of ZZ Distribution Under Zero Failure Data Journal of Harbin University of Science and Technology zz distribution reliability function zerofailure data bayesian estimation optimal lower confidence limit |
| title | Reliability Analysis of ZZ Distribution Under Zero Failure Data |
| title_full | Reliability Analysis of ZZ Distribution Under Zero Failure Data |
| title_fullStr | Reliability Analysis of ZZ Distribution Under Zero Failure Data |
| title_full_unstemmed | Reliability Analysis of ZZ Distribution Under Zero Failure Data |
| title_short | Reliability Analysis of ZZ Distribution Under Zero Failure Data |
| title_sort | reliability analysis of zz distribution under zero failure data |
| topic | zz distribution reliability function zerofailure data bayesian estimation optimal lower confidence limit |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1884 |
| work_keys_str_mv | AT leilu reliabilityanalysisofzzdistributionunderzerofailuredata AT zhangguozhi reliabilityanalysisofzzdistributionunderzerofailuredata AT wangping reliabilityanalysisofzzdistributionunderzerofailuredata |