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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Main Authors: LONG Bing, XI ChangXin
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2018-01-01
Series:Jixie qiangdu
Subjects:
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