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Analysis of mixtures from observations with error. (English. Ukrainian original) Zbl 0840.62027

Theory Probab. Math. Stat. 48, 87-93 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 125-133 (1993).
Summary: Some estimates are obtained for certain characteristics of random vectors from an observed sample of a mixture with time-varying concentration of its components, the observations being taken with an additive error of measurement. Consistent estimates are constructed for the moment generating functions of the components of the mixture and for the parameters of the concentration function.

MSC:

62F10 Point estimation
62G30 Order statistics; empirical distribution functions
46N30 Applications of functional analysis in probability theory and statistics
60F15 Strong limit theorems
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