Confidence
Intervals Based on Corrected Likelihood Ratio Tests
for Parallel Systems with Covariates
Bulletin of the Malaysian Mathematical Society, Tome 22 (1999) no. 2
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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.
@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/}
}
TY - JOUR
AU - Ayman Baklizi
AU - Isa Daud
AU - Noor Akma Ibrahim
TI - Confidence
Intervals Based on Corrected Likelihood Ratio Tests
for Parallel Systems with Covariates
JO - Bulletin of the Malaysian Mathematical Society
PY - 1999
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/item/BMMS_1999_22_2_a0/
ID - BMMS_1999_22_2_a0
ER -
%0 Journal Article
%A Ayman Baklizi
%A Isa Daud
%A Noor Akma Ibrahim
%T Confidence
Intervals Based on Corrected Likelihood Ratio Tests
for Parallel Systems with Covariates
%J Bulletin of the Malaysian Mathematical Society
%D 1999
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/BMMS_1999_22_2_a0/
%F BMMS_1999_22_2_a0
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/