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Theory of Probability and Mathematical Statistics

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A test of the hypothesis about the homogeneity of components of a mixture with varying concentrations by using censored data


Author: A. Yu. Ryzhov
Translated by: S. Kvasko
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 72 (2005).
Journal: Theor. Probability and Math. Statist. 72 (2006), 145-155
MSC (2000): Primary 62N03; Secondary 62G10
DOI: https://doi.org/10.1090/S0094-9000-06-00672-7
Published electronically: September 5, 2006
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider a statistical test for the homogeneity of components in a model of mixtures with varying concentrations by using censored data. The test is constructed with the help of adaptive estimators of components of a mixture.


References [Enhancements On Off] (What's this?)

  • 1. D. R. Cox and D. Oakes, Analysis of Survival Data, Chapman & Hall, New York, 1984. MR 0751780 (86f:62170)
  • 2. R. E. Ma{\u{\i\/}}\kern.15emboroda, Statistical Analysis of Mixtures, Kyiv University, Kyiv, 2003. (Ukrainian)
  • 3. E. L. Kaplan and P. Meier, Nonparametric estimation from incomplete observations, J. Amer. Statist. Assoc. 53 (1958), 457-481. MR 0093867 (20:387)
  • 4. A. Yu. Ryzhov, Estimates of distributions of components in a mixture from censoring data, Teor. Imovir. ta Matem. Statist. 69 (2003), 140-147; English transl. in Theory Probab. Math. Statist. 69 (2004), 167-174. MR 2110914 (2005i:62138)
  • 5. P. Billingsley, Convergence of Probability Measures, J. Wiley & Sons, Inc., New York, 1999. MR 1700749 (2000e:60008)
  • 6. D. P. Harrington and T. R. Fleming, Counting Processes and Survival Analysis, J. Wiley & Sons, Inc., New York, 1991. MR 1100924 (92i:60091)
  • 7. A. Ya. Dorogovtsev, D. S. Silvestrov, A. V. Skorokhod, and M. I Yadrenko, Probability Theory: Collection of Problems, ``Vyshcha Shkola'', Kyiv, 1976; English transl., American Mathematical Society, Providence, RI, 1997. MR 1444579 (98k:60001)

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Additional Information

A. Yu. Ryzhov
Affiliation: Department of General Mathematics, Faculty for Mathematics and Mechanics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email: ryzhov@univ.kiev.ua

DOI: https://doi.org/10.1090/S0094-9000-06-00672-7
Keywords: Survival analysis, mixtures with varying concentrations, censoring, Kaplan--Meier estimator, dispersion coefficient.
Received by editor(s): July 5, 2004
Published electronically: September 5, 2006
Article copyright: © Copyright 2006 American Mathematical Society

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