Estimate for Euclidean parameters of a mixture of two symmetric distributions

  • R. E. Maiboroda
  • O. V. Suhakova

Abstract

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.
Published
25.07.2010
How to Cite
Maiboroda, R. E., and O. V. Suhakova. “Estimate for Euclidean Parameters of a Mixture of Two Symmetric Distributions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 7, July 2010, pp. 945–953, https://umj.imath.kiev.ua/index.php/umj/article/view/2927.
Section
Research articles