Survival mixtrue model of Gamma distribution F of modelling heterogeneous data
In this study survival mixture model of three components was proposed for the analysis of heterogeneous survival data.The proposed model constitutes of three components survival mixture model of the Gamma distribution.The properties of model were highlighted. Both simulated and real data were used...
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my.uum.repo.215292017-04-06T04:09:28Z http://repo.uum.edu.my/21529/ Survival mixtrue model of Gamma distribution F of modelling heterogeneous data Mohammed, Yusuf A. Yatim, Bidin Ismail, Suzilah QA Mathematics In this study survival mixture model of three components was proposed for the analysis of heterogeneous survival data.The proposed model constitutes of three components survival mixture model of the Gamma distribution.The properties of model were highlighted. Both simulated and real data were used to estimate the maximum likelihood estimators of the model by employing the Expectation Maximization (EM). Three different censoring percentages (10%, 20% and 40%) were employed in the simulated data to assess the performance of the proposed model with different censoring percentages.The comparison showed that the model performed well with the three censoring percentages.However, the estimated parameters were better with small censoring percentage. The real data were used to compare the proposed model with the pure classical parametric survival models corresponding to each component, the two and four components survival mixture models of the Gamma distributions.The Log-likelihood (LL) and the Akaike Information Criterion (AIC) values showed that the proposed model represents real data better than the pure classical survival model, the two and four components survival mixture models of the Gamma distributions.The proposed model showed that survival mixture models are flexible and maintain the features of the pure classical survival model and are better option for modelling heterogeneous survival data. Research India Publications 2016 Article PeerReviewed application/pdf en http://repo.uum.edu.my/21529/1/IJAER%2011%2016%202016%208992%208998.pdf Mohammed, Yusuf A. and Yatim, Bidin and Ismail, Suzilah (2016) Survival mixtrue model of Gamma distribution F of modelling heterogeneous data. International Journal of Applied Engineering Research, 11 (16). pp. 8992-8998. ISSN 0973-4562 http://www.ripublication.com/ijaer16/ijaerv11n16_32.pdf |
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QA Mathematics Mohammed, Yusuf A. Yatim, Bidin Ismail, Suzilah Survival mixtrue model of Gamma distribution F of modelling heterogeneous data |
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In this study survival mixture model of three components was proposed for the analysis of heterogeneous survival data.The proposed model constitutes of three components survival mixture model of the Gamma distribution.The properties of
model were highlighted. Both simulated and real data were used to estimate the maximum likelihood estimators of the model by employing the Expectation Maximization (EM). Three different censoring percentages (10%, 20% and 40%) were employed in the simulated data to assess the
performance of the proposed model with different censoring percentages.The comparison showed that the model performed well with the three censoring percentages.However, the estimated parameters were better with small censoring percentage. The real data were used to compare the proposed model with the pure classical parametric survival models corresponding to each component, the two and four
components survival mixture models of the Gamma
distributions.The Log-likelihood (LL) and the Akaike Information Criterion (AIC) values showed that the proposed model represents real data better than the pure classical survival model, the two and four components survival mixture models of the Gamma distributions.The proposed model
showed that survival mixture models are flexible and maintain the features of the pure classical survival model and are better option for modelling heterogeneous survival data. |
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Article |
author |
Mohammed, Yusuf A. Yatim, Bidin Ismail, Suzilah |
author_facet |
Mohammed, Yusuf A. Yatim, Bidin Ismail, Suzilah |
author_sort |
Mohammed, Yusuf A. |
title |
Survival mixtrue model of Gamma distribution F of modelling heterogeneous data |
title_short |
Survival mixtrue model of Gamma distribution F of modelling heterogeneous data |
title_full |
Survival mixtrue model of Gamma distribution F of modelling heterogeneous data |
title_fullStr |
Survival mixtrue model of Gamma distribution F of modelling heterogeneous data |
title_full_unstemmed |
Survival mixtrue model of Gamma distribution F of modelling heterogeneous data |
title_sort |
survival mixtrue model of gamma distribution f of modelling heterogeneous data |
publisher |
Research India Publications |
publishDate |
2016 |
url |
http://repo.uum.edu.my/21529/1/IJAER%2011%2016%202016%208992%208998.pdf http://repo.uum.edu.my/21529/ http://www.ripublication.com/ijaer16/ijaerv11n16_32.pdf |
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13.18916 |