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Exponentiated Exponential Models for Survival Data


Affiliations
1 Department of Statistics, Tuberculosis Research Centre, ICMR, Chennai-600 031, Tamilnadu, India
2 Department of Statistics, Dr.Ambedkar Government Arts College (Autonomous), Vyasarpadi, Chennai-600 039, Tamilnadu, India
 

The Exponentiated Exponential (EE) model serves as an alternative to Exponential, Weibull and Gamma models. It is observed that EE model has been used in the analysis of complete life time data. In this paper an attempt has been made to study the modeling of censored survival data and the results are compared with other models. Log Likelihood ratio statistic and Cox-Snell residuals are used for the comparisons. The EE model performs better than Exponential and Weibull models. We also fitted Log-logistic model and compared with other models based on Baysian information criterion (BIC) and an information criterion (AIC). The Log-logistic model also performs better than the above models in situations when the censoring is at low level.

Keywords

EE Model, Hazard Function, Life Time Data, Survival Function, Weibull Model
User

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  • Exponentiated Exponential Models for Survival Data

Abstract Views: 600  |  PDF Views: 74

Authors

P. Venkatesan
Department of Statistics, Tuberculosis Research Centre, ICMR, Chennai-600 031, Tamilnadu, India
N. Sundaram
Department of Statistics, Dr.Ambedkar Government Arts College (Autonomous), Vyasarpadi, Chennai-600 039, Tamilnadu, India

Abstract


The Exponentiated Exponential (EE) model serves as an alternative to Exponential, Weibull and Gamma models. It is observed that EE model has been used in the analysis of complete life time data. In this paper an attempt has been made to study the modeling of censored survival data and the results are compared with other models. Log Likelihood ratio statistic and Cox-Snell residuals are used for the comparisons. The EE model performs better than Exponential and Weibull models. We also fitted Log-logistic model and compared with other models based on Baysian information criterion (BIC) and an information criterion (AIC). The Log-logistic model also performs better than the above models in situations when the censoring is at low level.

Keywords


EE Model, Hazard Function, Life Time Data, Survival Function, Weibull Model

References





DOI: https://doi.org/10.17485/ijst%2F2011%2Fv4i8%2F30897