A Non-Mixture Cure Model for Right-Censored Data with Fréchet Distribution

Durga H. Kutal; Lianfen Qian

doi:10.3390/stats1010013

A Non-Mixture Cure Model for Right-Censored Data with Fréchet Distribution

Research output: Contribution to journal › Article › peer-review

Abstract

This paper considers a non-mixture cure model for right-censored data. It utilizes the maximum likelihood method to estimate model parameters in the non-mixture cure model. The simulation study is based on Fréchet susceptible distribution to evaluate the performance of the method. Compared with Weibull and exponentiated exponential distributions, the non-mixture Fréchet distribution is shown to be the best in modeling a real data on allogeneic marrow HLA-matched donors and ECOG phase III clinical trial e1684 data.

Original language	American English
Pages (from-to)	176-188
Number of pages	13
Journal	Stats
Volume	1
Issue number	1
DOIs	https://doi.org/10.3390/stats1010013
State	Published - Nov 2018
Externally published	Yes

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title = "A Non-Mixture Cure Model for Right-Censored Data with Fr{\'e}chet Distribution",

abstract = "This paper considers a non-mixture cure model for right-censored data. It utilizes the maximum likelihood method to estimate model parameters in the non-mixture cure model. The simulation study is based on Fr{\'e}chet susceptible distribution to evaluate the performance of the method. Compared with Weibull and exponentiated exponential distributions, the non-mixture Fr{\'e}chet distribution is shown to be the best in modeling a real data on allogeneic marrow HLA-matched donors and ECOG phase III clinical trial e1684 data.",

author = "Kutal, {Durga H.} and Lianfen Qian",

year = "2018",

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AB - This paper considers a non-mixture cure model for right-censored data. It utilizes the maximum likelihood method to estimate model parameters in the non-mixture cure model. The simulation study is based on Fréchet susceptible distribution to evaluate the performance of the method. Compared with Weibull and exponentiated exponential distributions, the non-mixture Fréchet distribution is shown to be the best in modeling a real data on allogeneic marrow HLA-matched donors and ECOG phase III clinical trial e1684 data.

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A Non-Mixture Cure Model for Right-Censored Data with Fréchet Distribution

Abstract

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