Maximum likelihood estimation of semiparametric mixture component models for competing risks data

Biometrics ◽  
2014 ◽  
Vol 70 (3) ◽  
pp. 588-598 ◽  
Author(s):  
Sangbum Choi ◽  
Xuelin Huang
Author(s):  
Samir Ashour ◽  
Wael Abu El Azm

<p>This paper is concerned with the estimators problems of the generalized Weibull distribution based on Type-I hybrid progressive censoring scheme (Type-I PHCS) in the presence of competing risks when the cause of failure of each item is known. Maximum likelihood estimates and the corresponding Fisher information matrix are obtained. We generalized Kundu and Joarder [7] results in the case of the exponential distribution while, the corresponding results in the case of the generalized exponential and Weibull distributions may be obtained as a special cases. A real data set is used to illustrate the theoretical results.</p>


1984 ◽  
Vol 106 (4) ◽  
pp. 325-330
Author(s):  
C. W. Merten ◽  
W. R. Steinhurst

Hazard plotting and maximum likelihood estimation (MLE) are used to determine Weibull parameters for single cycle thermal shock tests performed on WC-Co specimens. Data for each sample fall into three classes: tests below a threshold prequench temperature for which failure never occurs; tests above some higher prequench temperature for which failure is universal; and tests at intermediate prequench temperatures for which both failures and nonfailures are interspersed. Hazard plots in the region of the third class show a good Weibull fit. For some samples, the shape of the hazard plots indicates competing risks. MLE of the Weibull parameters for each sample is performed and the estimates are compared. Failure models which might account for the shape of the hazard plots are proposed.


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