POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST
The MLE of geometric distribution are studied by ML method and EM algorithm under a particular random censoring test. The proof of existence and uniqueness of MLE and EM iterative formula of the parameter are given. The asymptotic variance of EM estimation is obtainde by Louis algorithm. Random simu...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2017-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2017.01.012 |
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| _version_ | 1841535063738548224 |
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| author | HE ChaoBing |
| author_facet | HE ChaoBing |
| author_sort | HE ChaoBing |
| collection | DOAJ |
| description | The MLE of geometric distribution are studied by ML method and EM algorithm under a particular random censoring test. The proof of existence and uniqueness of MLE and EM iterative formula of the parameter are given. The asymptotic variance of EM estimation is obtainde by Louis algorithm. Random simulation results show that the MLE and EM estimation are both fairly accurate,and make little difference. |
| format | Article |
| id | doaj-art-582046b3b7904cafab2053eba6a2a6cd |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2017-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-582046b3b7904cafab2053eba6a2a6cd2025-01-15T02:34:55ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692017-01-0139677030597404POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TESTHE ChaoBingThe MLE of geometric distribution are studied by ML method and EM algorithm under a particular random censoring test. The proof of existence and uniqueness of MLE and EM iterative formula of the parameter are given. The asymptotic variance of EM estimation is obtainde by Louis algorithm. Random simulation results show that the MLE and EM estimation are both fairly accurate,and make little difference.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2017.01.012Random censoring testGeometric distributionMaximum likelihood estimationEM algorithmAsymptotic variance |
| spellingShingle | HE ChaoBing POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST Jixie qiangdu Random censoring test Geometric distribution Maximum likelihood estimation EM algorithm Asymptotic variance |
| title | POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST |
| title_full | POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST |
| title_fullStr | POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST |
| title_full_unstemmed | POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST |
| title_short | POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST |
| title_sort | point estimation of the parameter of geometric distribution under a particular random censoring test |
| topic | Random censoring test Geometric distribution Maximum likelihood estimation EM algorithm Asymptotic variance |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2017.01.012 |
| work_keys_str_mv | AT hechaobing pointestimationoftheparameterofgeometricdistributionunderaparticularrandomcensoringtest |