Synopsis
l. Introduction.- 2. The basic setting for the approximations and variance preliminaries.- 3. Auxiliary processes: Integrals of empirical processes.- 4. Mean residual life processes.- 5. Auxiliary processes: Empirical increments of Brownian bridge integrals.- 6. Total time on test processes.- 7. Scaled total time on test processes.- 8. Discussion of results on total time on test processes.- 9. Total time on test from the first failure.- 10. Unscaled empirical Lorenz processes.- 11. Empirical Lorenz processes.- 12. Discussion of results on empirical Lorenz processes.- 13. The empirical concentration process of Goldie.- 14. Discussion of results on the Goldie concentration process.- 15. Further diversity and concentration processes.- 16. Indices of inequality, diversity, and concentration.- 17. Bootstrapping empirical functionals.- 18. References.
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