A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors
In this paper, a one-way error component regression model with measurement errors is considered. The unknown parameter vector is estimated by using the bias-corrected method, and its corresponding asymptotic properties are also developed. For the hypothesis testing problem of the vector of the coeff...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/19/4165 |
| _version_ | 1797575515581710336 |
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| author | Lili Yue Jianhong Shi Jingxuan Luo Jinguan Lin |
| author_facet | Lili Yue Jianhong Shi Jingxuan Luo Jinguan Lin |
| author_sort | Lili Yue |
| collection | DOAJ |
| description | In this paper, a one-way error component regression model with measurement errors is considered. The unknown parameter vector is estimated by using the bias-corrected method, and its corresponding asymptotic properties are also developed. For the hypothesis testing problem of the vector of the coefficient parameter in the model, a parametric bootstrap (PB) method is proposed. Under various sample sizes and parameter configurations, the effectiveness of our proposed PB test method is discussed by using some numerical simulations and a real data analysis. |
| first_indexed | 2024-03-10T21:39:42Z |
| format | Article |
| id | doaj.art-5373b43117624109b4c341107dc357f1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T21:39:42Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5373b43117624109b4c341107dc357f12023-11-19T14:44:14ZengMDPI AGMathematics2227-73902023-10-011119416510.3390/math11194165A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement ErrorsLili Yue0Jianhong Shi1Jingxuan Luo2Jinguan Lin3School of Statistics and Data Science, Nanjing Audit University, Nanjing 211815, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030032, ChinaSchool of Statistics, Beijing Normal University, Beijing 100875, ChinaSchool of Statistics and Data Science, Nanjing Audit University, Nanjing 211815, ChinaIn this paper, a one-way error component regression model with measurement errors is considered. The unknown parameter vector is estimated by using the bias-corrected method, and its corresponding asymptotic properties are also developed. For the hypothesis testing problem of the vector of the coefficient parameter in the model, a parametric bootstrap (PB) method is proposed. Under various sample sizes and parameter configurations, the effectiveness of our proposed PB test method is discussed by using some numerical simulations and a real data analysis.https://www.mdpi.com/2227-7390/11/19/4165parametric bootstrapone-way error component regression modelmeasurement errorshypothesis test |
| spellingShingle | Lili Yue Jianhong Shi Jingxuan Luo Jinguan Lin A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors Mathematics parametric bootstrap one-way error component regression model measurement errors hypothesis test |
| title | A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors |
| title_full | A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors |
| title_fullStr | A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors |
| title_full_unstemmed | A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors |
| title_short | A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors |
| title_sort | parametric bootstrap approach for a one way error component regression model with measurement errors |
| topic | parametric bootstrap one-way error component regression model measurement errors hypothesis test |
| url | https://www.mdpi.com/2227-7390/11/19/4165 |
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