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On an analog of empirical distribution for multivariate censored data

  • Point and Interval Estimation
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Abstract

A model of a “censored” experiment is formally defined. A functional is proposed which can be considered as an analog of the empirical distribution. Some properties of this functional are investigated.

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References

  1. Yu. K. Belyaev, “Multiplicative estimates of the probability of trouble-free performance,”Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 4 (1985).

  2. V. M. Skripnik, A. E. Nazin, Yu. G. Prichod'ko, and Yu. N. Blagoveshchenskii,Analysis of Reliability of Technical Systems from Censored Samples [in Russian], Radio i Svyaz', Moscow (1988).

    Google Scholar 

  3. G. D. Kartashov, “An estimator of the joint distribution of nonobservable random variables,” in:Models and Methods of Optimization, Proceedings of VNIISI [in Russian], No. 1, Moscow (1989).

  4. N. Ebrahimi, “On the identifiability of multivariate survival distribution functions,”J. Multivar. Anal.,25 (1988).

  5. R. M. Korwar, “Nonparametric estimation of a bivariate survivorship function with double censored data,”Statist. Prob. Lett.,5 (1987).

  6. F. H. Ruymgaart, “Some properties of bivariate empirical hazard processes under random censoring,”J. Multivariate Anal.,28 (1989).

  7. V. N. Baskakov, “Nonparametric maximum likelihood estimator based on censored data,” in:Exploitation and Reliability [in Russian], Publ. House ChVVMU named for P. S. Nakhimov Sevastopol' (1990).

    Google Scholar 

  8. A. A. Borovkov,Mathematical Statistics [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  9. A. A. Robertson and V. R. R. Uppuluri, “A generalized Kaplan-Meier estimator,”Ann. Stat.,12, No. 1 (1984).

    Google Scholar 

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Translated fromStatisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 41–51, Perm, 1993.

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Baskakov, V.N. On an analog of empirical distribution for multivariate censored data. J Math Sci 81, 2779–2785 (1996). https://doi.org/10.1007/BF02362479

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  • DOI: https://doi.org/10.1007/BF02362479

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