Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm
We proposed a robust mean change-point estimation algorithm in linear regression with the assumption that the errors follow the Laplace distribution. By representing the Laplace distribution as an appropriate scale mixture of normal distribution, we developed the expectation maximization (EM) algori...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/856350 |
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| _version_ | 1832559808630226944 |
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| author | Fengkai Yang |
| author_facet | Fengkai Yang |
| author_sort | Fengkai Yang |
| collection | DOAJ |
| description | We proposed a robust mean change-point estimation algorithm in linear regression with the assumption that the errors follow the Laplace distribution. By representing the Laplace distribution as an appropriate scale mixture of
normal distribution, we developed the expectation maximization (EM) algorithm to estimate the position of mean change-point. We investigated the performance of the algorithm through different simulations, finding that our methods is robust to the distributions of errors and is effective to estimate the position of mean change-point. Finally, we applied our method to the classical Holbert data and detected a change-point. |
| format | Article |
| id | doaj-art-036e39d8c880443f904f1156b6229a41 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-036e39d8c880443f904f1156b6229a412025-02-03T01:29:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/856350856350Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM AlgorithmFengkai Yang0School of Mathematics, Shandong University, Jinan 250100, ChinaWe proposed a robust mean change-point estimation algorithm in linear regression with the assumption that the errors follow the Laplace distribution. By representing the Laplace distribution as an appropriate scale mixture of normal distribution, we developed the expectation maximization (EM) algorithm to estimate the position of mean change-point. We investigated the performance of the algorithm through different simulations, finding that our methods is robust to the distributions of errors and is effective to estimate the position of mean change-point. Finally, we applied our method to the classical Holbert data and detected a change-point.http://dx.doi.org/10.1155/2014/856350 |
| spellingShingle | Fengkai Yang Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm Journal of Applied Mathematics |
| title | Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm |
| title_full | Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm |
| title_fullStr | Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm |
| title_full_unstemmed | Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm |
| title_short | Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm |
| title_sort | robust mean change point detecting through laplace linear regression using em algorithm |
| url | http://dx.doi.org/10.1155/2014/856350 |
| work_keys_str_mv | AT fengkaiyang robustmeanchangepointdetectingthroughlaplacelinearregressionusingemalgorithm |