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Author
Rossa Agnieszka (University of Lodz, Poland)
Title
Unbiased Estimation of Survival Probabilities for Censored Data with Known Censoring Times
Nieobciążona estymacja prawdopodobieństwa przeżycia w modelu z obserwowalnymi czasami cenzurowania
Source
Acta Universitatis Lodziensis. Folia Oeconomica, 2005, t. 194, s. 181-192, bibliogr. 10 poz.
Issue title
Multivariate Statistical Analysis : Probability, Statistical Inference and Applications
Keyword
Analiza statystyczna, Prawdopodobieństwo, Metody estymacji, Rozkład prawdopodobieństwa
Statistical analysis, Probability, Estimation methods, Probability distributions
Note
streszcz., summ.
Abstract
W pracy zaproponowana została klasa nieobciążonych estymatorów prawdopodobieństwa przeżycia P(Ti>t) w modelu losowego, niezależnego i obserwowalnego cenzurowania, w którym potencjalne czasy życia T, są nieobserwowalnymi zmiennymi losowymi, natomiast zmienne cenzurujące Z, oraz zmienne min (Ti, Zi) są obserwowalne. (abstrakt oryginalny)

A class of unbiased estimators of survival probability P(Ti> t) under random and independent censorship model is considered, where the potential survival times T, are possibly unobserved, but the censoring times Z, and min(Ti, Zi) are observed and the sample size is random. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics
Bibliography
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  2. Chen Y.Y., Hollander M., Langberg N.A. (1982), Small-sample results for the Kaplan-Meier Estimator, Journal Am. Stat. Assoc., 77, 141-144.
  3. Cox D.R., Oakes D. (1984), Analysis of Survival Data, Chapman & Hali, London.
  4. Efron B. (1988), Logistic regression, Survival analysis, and the Kaplan-Meier curve, J. Amer. Statist. Assoc., 82, 414-422.
  5. Gajek L., Gather U. (1991), Estimating a scale parameter under censorship, Statistics, 22, 529-549.
  6. Gajek L., Mizera-Florczak B. (1998), Information inequalities for the minimax risk of sequential estimators (with applications), Applicationes Mathematicae, 15, 85-100.
  7. Kaplan E.L., Meier P. (1958), Nonparametric estimation from incomplete observations, J.Amer. Statist. Assoc., 53, 457-481.
  8. Lumley T., Heagerty P. (2000), Graphical exploratory analysis of survival data, J. Graph. Stalist., 9, 738-749.
  9. Mizera B. (1996), Lower bounds on the minimax risk of sequential estimators, Statistics, 28, 123-129.
  10. Peterson A.V. (1977), Expressing the Kaplan-Meier Estimator as a function of empirical subsurvival functions, J. Am. Stat. Assoc., 72, 854-858.
Cited by
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ISSN
0208-6018
Language
eng
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