Summary
Suppose thatH is a mixture of distributions for a given familyF A necessary and sufficient condition is obtained under whichH is, in fact, a finite mixture. An estimator of the number of distributions constituting the mixture is proposed assuming that the mixture is finite and its asymptotic properties are investigated.
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Henna, J. On estimating of the number of constituents of a finite mixture of continuous distributions. Ann Inst Stat Math 37, 235–240 (1985). https://doi.org/10.1007/BF02481094
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DOI: https://doi.org/10.1007/BF02481094