A Criterion for Burn-in that Balances Mean Residual Life and Residual Variance

Henry W. Block (), Thomas H. Savits () and Harshinder Singh ()
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Henry W. Block: Department of Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Thomas H. Savits: Department of Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Harshinder Singh: Department of Statistics, West Virginia University, Morgantown, West Virginia 26506-6330, and Department of Statistics, Panjab University, Chandigarh 160014, India

Operations Research, 2002, vol. 50, issue 2, 290-296

Abstract: Optimum burn-in times have been determined for a variety of criteria such as mean residual life and conditional survival. In this paper we consider a residual coefficient of variation that balances mean residual life with residual variance. To study this quantity, we develop a general result concerning the preservation ofbathtub distributions. Using this result, we give a condition so that the residual coefficient of variation is bathtub-shaped. Furthermore, we show that it attains its optimum value at a time that occurs after the mean residual life function attains its optimum value, but not necessarily before the change point of the failure rate function.

Keywords: Reliability: burn-in; bathtub curves (life distributions) (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (9)

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