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Testing hypotheses on moments by observations from a mixture with varying concentrations
Volume 1, Issue 2 (2014), pp. 195–209
Alexey Doronin   Rostyslav Maiboroda  

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https://doi.org/10.15559/15-VMSTA19
Pub. online: 4 February 2015      Type: Research Article      Open accessOpen Access

Received
22 December 2014
Revised
21 January 2015
Accepted
22 January 2015
Published
4 February 2015

Abstract

A mixture with varying concentrations is a modification of a finite mixture model in which the mixing probabilities (concentrations of mixture components) may be different for different observations. In the paper, we assume that the concentrations are known and the distributions of components are completely unknown. Nonparametric technique is proposed for testing hypotheses on functional moments of components.

References

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Keywords
Finite mixture model functional moments hypothesis testing mixture with varying concentrations

MSC2010
62G10 62G20

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