A stochastic frontier approach to survival analysis

Abstract

In spite of the best set of covariates and statistical tools for the survival analysis, there are instances when experts do not rule out the existence of many non-observable factors that could influence the survival probability of an individual. The fact that every human body, sick or otherwise, strives to maximize time to death, renders the stochastic frontier analysis (vide 2) as a meaningful tool to measure the unobservable individual-specific deficiency factor that accounts for the difference between the optimal and observed survival times. In this paper, given the survival data, an attempt is made to measure the deficiency factor for each individual in the data on adopting the stochastic frontier analysis. Such an attempt to quantify the effect of these unobservable factors can provide ample scope for further research in bio-medical studies. The utility of these estimates in the survival analysis is also highlighted using a real-life data.

Keywords:

• stochastic frontier regression
• deficiency factor
• Cox PH model

Acknowledgements

The authors sincerely thank the referees for their critical comments and constructive suggestions which have been extremely useful in preparing this revised version of the article.

Notes

unfortunately this appears to be the best that can be achieved with cross sectional data’ …Kumbhakar [p. 78]2.