Geodesic
Some problems of statistics of distribution mixtures with variable concentrations
Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 840-845

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Some problems of estimating characteristics of random variables are considered. The observations used as a basis are a sample from a mixture of distributions, and the concentrations of components vary in the process of measurement. The distributions of components of the mixture are evaluated nonparametrically, while estimates for some functions of concentrations are both parametric and nonparametric. The estimates considered are proved to be consistent. Estimates are constructed on the basis of inhomogeneous empirical distribution functions.
Keywords: splitting of mixtures, nonparametric regression, empirical distribution functions, estimate of change-point. 
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     author = {R. E. Maǐboroda},
     title = {Some problems of statistics of distribution mixtures with variable concentrations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {840--845},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a15/}
}
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R. E. Maǐboroda. Some problems of statistics of distribution mixtures with variable concentrations. Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 840-845. http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a15/