ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA
The maximum likelihood method is used to estimate the unknown shape parameter in Lomax distribution under interval data, the expression of the shape parameter can not be obtained.The iterative formula of shape parameter can be obtained by using EM algorithm, it is easy to get the estimated value and...
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Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2018-01-01
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Series: | Jixie qiangdu |
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Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.06.017 |
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author | LONG Bing XI ChangXin |
author_facet | LONG Bing XI ChangXin |
author_sort | LONG Bing |
collection | DOAJ |
description | The maximum likelihood method is used to estimate the unknown shape parameter in Lomax distribution under interval data, the expression of the shape parameter can not be obtained.The iterative formula of shape parameter can be obtained by using EM algorithm, it is easy to get the estimated value and the estimation has good convergence. Random simulation results show that EM algorithm has high accuracy, and the final estimation is independent of initial value. |
format | Article |
id | doaj-art-b62819aa0cce48de8c31d02935226aca |
institution | Kabale University |
issn | 1001-9669 |
language | zho |
publishDate | 2018-01-01 |
publisher | Editorial Office of Journal of Mechanical Strength |
record_format | Article |
series | Jixie qiangdu |
spelling | doaj-art-b62819aa0cce48de8c31d02935226aca2025-01-15T02:31:03ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692018-01-01401377138130603474ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATALONG BingXI ChangXinThe maximum likelihood method is used to estimate the unknown shape parameter in Lomax distribution under interval data, the expression of the shape parameter can not be obtained.The iterative formula of shape parameter can be obtained by using EM algorithm, it is easy to get the estimated value and the estimation has good convergence. Random simulation results show that EM algorithm has high accuracy, and the final estimation is independent of initial value.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.06.017Lomax distributionInterval dataEM algorithmParameter estimation |
spellingShingle | LONG Bing XI ChangXin ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA Jixie qiangdu Lomax distribution Interval data EM algorithm Parameter estimation |
title | ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA |
title_full | ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA |
title_fullStr | ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA |
title_full_unstemmed | ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA |
title_short | ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA |
title_sort | estimation of the shape parameter in lomax distribution based on interval data |
topic | Lomax distribution Interval data EM algorithm Parameter estimation |
url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.06.017 |
work_keys_str_mv | AT longbing estimationoftheshapeparameterinlomaxdistributionbasedonintervaldata AT xichangxin estimationoftheshapeparameterinlomaxdistributionbasedonintervaldata |