Confidence interval estimation for the difference of censored zero-inflated gamma distributions
Abstract This paper studies the problem of constructing confidence intervals (CIs) for the difference between coefficients of variation (CV) of two censored zero-inflated gamma distributions. Firstly, we propose a Fiducial inference based method that extends the traditional CI construction method of...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-11-01
|
| Series: | Scientific Reports |
| Subjects: | |
| Online Access: | https://doi.org/10.1038/s41598-024-79706-3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850064679043334144 |
|---|---|
| author | Hongping Guo Yiran Zhu Yuhang Qian Min Wu |
| author_facet | Hongping Guo Yiran Zhu Yuhang Qian Min Wu |
| author_sort | Hongping Guo |
| collection | DOAJ |
| description | Abstract This paper studies the problem of constructing confidence intervals (CIs) for the difference between coefficients of variation (CV) of two censored zero-inflated gamma distributions. Firstly, we propose a Fiducial inference based method that extends the traditional CI construction method of gamma distribution to the scenario of zero-inflated gamma distributions with censored data. Secondly, we propose a Box-Cox transformation based method, in which not only the sample data needs to be transformed, but also the detection limit of gamma distribution with censored data accordingly. Thirdly, we investigate the Method of Variance Estimate Recovery (MOVER), to combine the previous two gamma distribution CI estimates with three binomial distribution CI estimates, and obtain six combination methods. Furthermore, we conduct Monte Carlo simulations to evaluate the performances of the proposed methods, the results indicate that all CI construction methods achieve satisfactory performances in terms of coverage probability, average length and tail error rates. Finally, we perform real data analysis using 11 years of precipitation data from Zhengzhou and Lhasa. |
| format | Article |
| id | doaj-art-ca7fe0cd2fd44a9ea0499f8da64b550e |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-ca7fe0cd2fd44a9ea0499f8da64b550e2025-08-20T02:49:14ZengNature PortfolioScientific Reports2045-23222024-11-0114111410.1038/s41598-024-79706-3Confidence interval estimation for the difference of censored zero-inflated gamma distributionsHongping Guo0Yiran Zhu1Yuhang Qian2Min Wu3Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal UniversitySchool of Mathematics and Statistics, Qingdao UniversitySchool of Statistics and Data Science, Nanjing Audit UniversitySchool of Mathematics and Statistics, Hubei University of Science and TechnologyAbstract This paper studies the problem of constructing confidence intervals (CIs) for the difference between coefficients of variation (CV) of two censored zero-inflated gamma distributions. Firstly, we propose a Fiducial inference based method that extends the traditional CI construction method of gamma distribution to the scenario of zero-inflated gamma distributions with censored data. Secondly, we propose a Box-Cox transformation based method, in which not only the sample data needs to be transformed, but also the detection limit of gamma distribution with censored data accordingly. Thirdly, we investigate the Method of Variance Estimate Recovery (MOVER), to combine the previous two gamma distribution CI estimates with three binomial distribution CI estimates, and obtain six combination methods. Furthermore, we conduct Monte Carlo simulations to evaluate the performances of the proposed methods, the results indicate that all CI construction methods achieve satisfactory performances in terms of coverage probability, average length and tail error rates. Finally, we perform real data analysis using 11 years of precipitation data from Zhengzhou and Lhasa.https://doi.org/10.1038/s41598-024-79706-3Confidence intervalZero-inflated gamma distributionCensored dataCoefficient of variationDetection limitPrecipitation data |
| spellingShingle | Hongping Guo Yiran Zhu Yuhang Qian Min Wu Confidence interval estimation for the difference of censored zero-inflated gamma distributions Scientific Reports Confidence interval Zero-inflated gamma distribution Censored data Coefficient of variation Detection limit Precipitation data |
| title | Confidence interval estimation for the difference of censored zero-inflated gamma distributions |
| title_full | Confidence interval estimation for the difference of censored zero-inflated gamma distributions |
| title_fullStr | Confidence interval estimation for the difference of censored zero-inflated gamma distributions |
| title_full_unstemmed | Confidence interval estimation for the difference of censored zero-inflated gamma distributions |
| title_short | Confidence interval estimation for the difference of censored zero-inflated gamma distributions |
| title_sort | confidence interval estimation for the difference of censored zero inflated gamma distributions |
| topic | Confidence interval Zero-inflated gamma distribution Censored data Coefficient of variation Detection limit Precipitation data |
| url | https://doi.org/10.1038/s41598-024-79706-3 |
| work_keys_str_mv | AT hongpingguo confidenceintervalestimationforthedifferenceofcensoredzeroinflatedgammadistributions AT yiranzhu confidenceintervalestimationforthedifferenceofcensoredzeroinflatedgammadistributions AT yuhangqian confidenceintervalestimationforthedifferenceofcensoredzeroinflatedgammadistributions AT minwu confidenceintervalestimationforthedifferenceofcensoredzeroinflatedgammadistributions |