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Ukrainian Mathematical Journal

, Volume 62, Issue 7, pp 1098–1108 | Cite as

Estimate for Euclidean parameters of a mixture of two symmetric distributions

  • R. E. Maiboroda
  • O. V. Suhakova
Article
  • 33 Downloads

A sample from a mixture of two symmetric distributions is observed. The considered distributions differ only by a shift. Estimates are constructed by the method of estimating equations for parameters of mean locations and concentrations (mixing probabilities) of both components. We obtain conditions for the asymptotic normality of these estimates. The greatest lower bounds for the coefficients of dispersion of the estimates are determined.

Keywords

Generalize Estimate Equation Asymptotic Normality Generalize Estimate Equation Symmetric Distribution Moment Estimate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • R. E. Maiboroda
    • 1
  • O. V. Suhakova
    • 1
  1. 1.Shevchenko Kyiv National UniversityKyivUkraine

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