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In the paper there is given a connection between one special case of clusteranalysis, deconvolution problem, and classical moment problem. Namely, themethods used there are applied to solve deconvolution problem for the case ofone known distribution and another one concentrated in unknown finite number ofpoints. These results can be applied to estimate a number of clusters for thecase of scale or location mixture of identical distributions.  keywords: number of clusters, deconvolution problem, classical momentproblem, scale and location mixtures.

Number of clusters, deconvolution and classical problem of moments