Parameter Estimation of ZZ Distribution Based on Censored Data
In reliability statistics, there are usually four types of life distributions: exponential distribution, Weibull distribution, extremevalue distribution and log normal distribution. But in some real life applications, the results of statistical inference were found to be far from the truth if using...
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Harbin University of Science and Technology Publications
2020-02-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1835 |
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| _version_ | 1849405214655774720 |
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| author | ZHANG Guo-zhi ZHANG Ning |
| author_facet | ZHANG Guo-zhi ZHANG Ning |
| author_sort | ZHANG Guo-zhi |
| collection | DOAJ |
| description | In reliability statistics, there are usually four types of life distributions: exponential distribution, Weibull distribution, extremevalue distribution and log normal distribution. But in some real life applications, the results of statistical inference were found to be far from the truth if using the four life distributions to describe the life of some components. It shows that the component life distribution is not anyone of the four distributions. This paper proposes a new type of life distribution called ZZ distribution. This distribution is a better description of the life for such components. And based on censored data, the best linear unbiased estimation and the simple linear unbiased estimation of parameters were given. The required tables were given in the appendix. |
| format | Article |
| id | doaj-art-999d85ebd61d42a0a549bf50ad63644e |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-999d85ebd61d42a0a549bf50ad63644e2025-08-20T03:36:44ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-02-01250114915310.15938/j.jhust.2020.01.023Parameter Estimation of ZZ Distribution Based on Censored DataZHANG Guo-zhi0ZHANG Ning1Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaIn reliability statistics, there are usually four types of life distributions: exponential distribution, Weibull distribution, extremevalue distribution and log normal distribution. But in some real life applications, the results of statistical inference were found to be far from the truth if using the four life distributions to describe the life of some components. It shows that the component life distribution is not anyone of the four distributions. This paper proposes a new type of life distribution called ZZ distribution. This distribution is a better description of the life for such components. And based on censored data, the best linear unbiased estimation and the simple linear unbiased estimation of parameters were given. The required tables were given in the appendix.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1835zz distributioncensored dataparameter estimationsimple linear unbiased estimationbest linear unbiased estimation |
| spellingShingle | ZHANG Guo-zhi ZHANG Ning Parameter Estimation of ZZ Distribution Based on Censored Data Journal of Harbin University of Science and Technology zz distribution censored data parameter estimation simple linear unbiased estimation best linear unbiased estimation |
| title | Parameter Estimation of ZZ Distribution Based on Censored Data |
| title_full | Parameter Estimation of ZZ Distribution Based on Censored Data |
| title_fullStr | Parameter Estimation of ZZ Distribution Based on Censored Data |
| title_full_unstemmed | Parameter Estimation of ZZ Distribution Based on Censored Data |
| title_short | Parameter Estimation of ZZ Distribution Based on Censored Data |
| title_sort | parameter estimation of zz distribution based on censored data |
| topic | zz distribution censored data parameter estimation simple linear unbiased estimation best linear unbiased estimation |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1835 |
| work_keys_str_mv | AT zhangguozhi parameterestimationofzzdistributionbasedoncensoreddata AT zhangning parameterestimationofzzdistributionbasedoncensoreddata |