“School of Mathematics”
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| Paper IPM / M / 17636 |
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| Abstract: | |
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The mean residual lifetime (MRL) of a unit is its expected additional
lifetime provided that it has survived until time t. The MRL estimation
problem has been frequently addressed in the literature since it
has wide applications in statistics, reliability and survival analysis. In this paper, we consider the problem of estimating the MRL in ranked
set sampling when actual quantifications of a concomitant variable
are available. To exploit the additional information of the concomitant
variable, we introduce several MRL estimators based on some regression techniques. We then compare them with the standard MRL estimator in simple random sampling using Monte Carlo simulation
and a real dataset from the Surveillance, Epidemiology, and End Results Program. Our results indicate the superiority of the procedures that we have developed when the quality of ranking is fairly
good.
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