Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values
Using the data for upper record values, the interval estimation for the scale parameter of two-parameter exponential distribution is presented. In addition, two methods for the joint confidence region of two parameters are proposed. In terms of confidence region area, the simulation comparison of tw...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/9/1906 |
| _version_ | 1797481895677657088 |
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| author | Shu-Fei Wu |
| author_facet | Shu-Fei Wu |
| author_sort | Shu-Fei Wu |
| collection | DOAJ |
| description | Using the data for upper record values, the interval estimation for the scale parameter of two-parameter exponential distribution is presented. In addition, two methods for the joint confidence region of two parameters are proposed. In terms of confidence region area, the simulation comparison of two methods of the confidence region is performed in this paper. The criterion of minimum confidence region area is used to obtain the optimal method of the confidence region. To illustrate our proposed interval estimation methods, one biometrical example is used and the corresponding confidence interval length and confidence region area are also calculated. Our research topic is related to the asymmetrical probability distributions and applications across disciplines. |
| first_indexed | 2024-03-09T22:22:04Z |
| format | Article |
| id | doaj.art-58e6a247db01400d8515013e9f81dc39 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:22:04Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-58e6a247db01400d8515013e9f81dc392023-11-23T19:12:57ZengMDPI AGSymmetry2073-89942022-09-01149190610.3390/sym14091906Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record ValuesShu-Fei Wu0Department of Statistics, Tamkang University, Tamsui, Taipei 251301, TaiwanUsing the data for upper record values, the interval estimation for the scale parameter of two-parameter exponential distribution is presented. In addition, two methods for the joint confidence region of two parameters are proposed. In terms of confidence region area, the simulation comparison of two methods of the confidence region is performed in this paper. The criterion of minimum confidence region area is used to obtain the optimal method of the confidence region. To illustrate our proposed interval estimation methods, one biometrical example is used and the corresponding confidence interval length and confidence region area are also calculated. Our research topic is related to the asymmetrical probability distributions and applications across disciplines.https://www.mdpi.com/2073-8994/14/9/1906exponential distributionupper record valueconfidence intervalconfidence region |
| spellingShingle | Shu-Fei Wu Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values Symmetry exponential distribution upper record value confidence interval confidence region |
| title | Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values |
| title_full | Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values |
| title_fullStr | Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values |
| title_full_unstemmed | Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values |
| title_short | Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values |
| title_sort | interval estimation for the two parameter exponential distribution based on the upper record values |
| topic | exponential distribution upper record value confidence interval confidence region |
| url | https://www.mdpi.com/2073-8994/14/9/1906 |
| work_keys_str_mv | AT shufeiwu intervalestimationforthetwoparameterexponentialdistributionbasedontheupperrecordvalues |