Mixed Replacement Designs for Life Testing with Interval Censoring

  • Tai Sup (Associate Professor, Department of Statistics, Anyang University) ;
  • kesar Singh (Professor, Department of Statistics, Rutgers University)
  • Published : 1999.08.01

Abstract

The estimation of mean lifetimes in presence of interval censoring with mixed replacement procedure are examined when the distribution s of lifetimes are exponential. it is assumed that due to physical restrictions and/or economic constraints the number of failures is investigated only at several inspection times during the lifetime test; thus there is interval censoring. Comparisons of mixed replacement designs are made with those with and without replacement The maximum likelihood estimator is found in an implicit form. The Cramer-Rao lower bound which is the asymptotic variance of the estimator is derived. The test conditions for minimizing the Cramer-Rao lower bound and minimizing the test costs within a desired width of the Cramer-Rao bound have been studied.

Keywords

References

  1. Technometrics v.15 Estimation in Compound Exponential Failure Models: When the Data are Grouped Boardman, T.J.
  2. Journal of the Royal Statistical Society B v.39 Maximum Likelihood from incomplete data via E-M Algorithm Dempster, A.P.;Laird, N.M.lRubin, D.B.
  3. Contribution to the Theory of Estimation from Grouped and Partially Grouped Samples Kulldorff, G.
  4. Accelerated Testing - Statistical Models, Test Plans, and Data Analyses Nelson, W.
  5. IEEE Transactions on Reliability v.26 Optimum Demonstration Tests with Grouped Inspection Data from an Exponential Distribution Nelson, W.
  6. IEEE Transactions on Reliability v.36 Some Optimal Designs for Grouped Data in Reliability Demonstration Tests Wei, D.;Bau, J.J.