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Equivalent processes of total time on test, Lorenz and inverse Lorenz processes

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  • Kawczak, Janusz
  • Kulperger, Reg
  • Yu, Hao

Abstract

In this paper we use empirical processes indexed by functions to study total time on time, Lorenz and inverse Lorenz (Goldie) processes. We show that these processes converge weakly to the same Gaussian limiting processes respectively.

Suggested Citation

  • Kawczak, Janusz & Kulperger, Reg & Yu, Hao, 2009. "Equivalent processes of total time on test, Lorenz and inverse Lorenz processes," Statistics & Probability Letters, Elsevier, vol. 79(1), pages 125-130, January.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:1:p:125-130
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    References listed on IDEAS

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    1. Kakwani, N C & Podder, N, 1973. "On the Estimation of Lorenz Curves from Grouped Observations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 278-292, June.
    2. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    3. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    4. W. Sendler, 1982. "On functionals of order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 29(1), pages 19-54, December.
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