Geodesic
Confidence Intervals Based on Corrected Likelihood Ratio Tests for Parallel Systems with Covariates
Bulletin of the Malaysian Mathematical Society, Tome 22 (1999) no. 2 
Ayman Baklizi; Isa Daud; Noor Akma Ibrahim. Confidence
                          Intervals Based on Corrected Likelihood Ratio Tests
                          for Parallel Systems with Covariates. Bulletin of the Malaysian Mathematical Society, Tome 22 (1999) no. 2. http://geodesic.mathdoc.fr/item/BMMS_1999_22_2_a0/
@article{BMMS_1999_22_2_a0,
     author = {Ayman Baklizi and Isa Daud and Noor Akma Ibrahim},
     title = {Confidence
                          {Intervals} {Based} on {Corrected} {Likelihood} {Ratio} {Tests
}                          for {Parallel} {Systems} with {Covariates}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {1999},
     volume = {22},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_1999_22_2_a0/}
}
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                          Intervals Based on Corrected Likelihood Ratio Tests
                          for Parallel Systems with Covariates
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 22
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                          Intervals Based on Corrected Likelihood Ratio Tests
                          for Parallel Systems with Covariates
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%D 1999
%V 22
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%U http://geodesic.mathdoc.fr/item/BMMS_1999_22_2_a0/
%F BMMS_1999_22_2_a0

Voir la notice de l'article provenant de la source BMMS

The problem of interval estimation for the regression parameter of the model of parallel systems with covariates is investigated. Intervals based on inverted likelihood ratio tests were considered. Two corrections to the likelihood ratio statistic were examined, the Bartlett correction and the mean and variance correction (Dicicco [4]). A simulation study is conducted to investigate the coverage probability and the symmetry of upper and lower error probabilities for various degrees of time censoring. It is found that the uncorrected intervals perform equally well as that of the corrected ones, except when the sample size is small and the censoring is heavy. In this case, intervals based on the mean and variance correction perform very well.