Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution
This paper suggests a modification of L-moments method to make it suitable for censored data directly (namely: Direct L-moments). This study concentrates on Type-I censored data. The modification is applied to estimate the unknown parameters of Kumaraswamy (Kw) distribution. The suggested modificati...
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Online Access: | http://dx.doi.org/10.1080/23311835.2017.1357236 |
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doaj-75f66e7178064b929d431e27de5531952020-11-24T20:58:23ZengTaylor & Francis GroupCogent Mathematics2331-18352017-01-014110.1080/23311835.2017.13572361357236Direct L-moments for Type-I censored data with application to the Kumaraswamy distributionMahmoud Riad Mahmoud0Fatma A. Khalil1Ghada A. El-Kelany2Hager A. Ibrahim3Institute of Statistics Studies and Research, Cairo UniversityAL-Azhar University (Girls’ Branch)AL-Azhar University (Girls’ Branch)AL-Azhar University (Girls’ Branch)This paper suggests a modification of L-moments method to make it suitable for censored data directly (namely: Direct L-moments). This study concentrates on Type-I censored data. The modification is applied to estimate the unknown parameters of Kumaraswamy (Kw) distribution. The suggested modification is compared with L-moments via partial probability-weighted moments (PPWM) method and maximum likelihood (ML) method. The results are achieved using a comparative numerical study in terms of estimate of the unknown parameters, relative bias and root of mean square error (RMSE) using Monte Carlo simulation.http://dx.doi.org/10.1080/23311835.2017.1357236censored dataestimationconventional momentsL-momentsKumaraswamy distribution |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mahmoud Riad Mahmoud Fatma A. Khalil Ghada A. El-Kelany Hager A. Ibrahim |
spellingShingle |
Mahmoud Riad Mahmoud Fatma A. Khalil Ghada A. El-Kelany Hager A. Ibrahim Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution Cogent Mathematics censored data estimation conventional moments L-moments Kumaraswamy distribution |
author_facet |
Mahmoud Riad Mahmoud Fatma A. Khalil Ghada A. El-Kelany Hager A. Ibrahim |
author_sort |
Mahmoud Riad Mahmoud |
title |
Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution |
title_short |
Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution |
title_full |
Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution |
title_fullStr |
Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution |
title_full_unstemmed |
Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution |
title_sort |
direct l-moments for type-i censored data with application to the kumaraswamy distribution |
publisher |
Taylor & Francis Group |
series |
Cogent Mathematics |
issn |
2331-1835 |
publishDate |
2017-01-01 |
description |
This paper suggests a modification of L-moments method to make it suitable for censored data directly (namely: Direct L-moments). This study concentrates on Type-I censored data. The modification is applied to estimate the unknown parameters of Kumaraswamy (Kw) distribution. The suggested modification is compared with L-moments via partial probability-weighted moments (PPWM) method and maximum likelihood (ML) method. The results are achieved using a comparative numerical study in terms of estimate of the unknown parameters, relative bias and root of mean square error (RMSE) using Monte Carlo simulation. |
topic |
censored data estimation conventional moments L-moments Kumaraswamy distribution |
url |
http://dx.doi.org/10.1080/23311835.2017.1357236 |
work_keys_str_mv |
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1716785954399715328 |