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A measure of discrimination between two residual life-time distributions and its applications

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Abstract

A measure of discrepancy between two residual-life distributions is proposed on the basis of Kullback-Leibler discrimination information. Properties of this measure are studied and the minimum discrimination principle is applied to obtain the proportional hazards model.

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References

  • Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle, 2nd International Symposium on Information Theory (eds. B. N.Petrov and F.Csáki), 267–281, Akadémiai Kiádo, Budapest.

    Google Scholar 

  • Cox, D. R. (1959). The analysis of exponentially distributed life-times with two types of failure, J. Roy. Statist. Soc. Ser. B, 21, 411–421.

    Google Scholar 

  • Ebrahimi, N. and Kirmani, S. N. U. A. (1995). A characterization of the proportional hazards model through a measure of discrimination between two residual life distribution, Biometrika (to appear).

  • Ebrahimi, N., Habibullah, M. and Soofi, E. S. (1992). Testing exponentiality based on Kullback-Leibler information, J. Roy. Statist. Soc. Ser. B, 54, 739–748.

    Google Scholar 

  • Efron, B. (1981). Censored data and the bootstrap, J. Amer. Statist. Assoc., 76, 312–319.

    Google Scholar 

  • Guiasu, S. (1990). A classification of the main probability distributions by minimizing weighted logarithmic meausure of deviation, Ann. Inst. Statist. Math., 42, 269–279.

    Google Scholar 

  • Kullback, S. (1954). Certain inequalities in information theory and the Cramér-Rao inequality, Ann. Math. Statist., 25, 745–751.

    Google Scholar 

  • Kullback, S. (1959). Information Theory and Statistics, Wiley, New York.

    Google Scholar 

  • Kullback, S. and Leibler, R. A. (1951). On information and sufficiency, Ann. Math. Statist., 22, 79–86.

    Google Scholar 

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Northern Illinois University on a professional development leave.

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Ebrahimi, N., Kirmani, S.N.U.A. A measure of discrimination between two residual life-time distributions and its applications. Ann Inst Stat Math 48, 257–265 (1996). https://doi.org/10.1007/BF00054789

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  • DOI: https://doi.org/10.1007/BF00054789

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