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We focus on the minimum distance density estimators $${\widehat{f}}_n$$ f ^ n of the true probability density $$f_0$$ f 0 on the real line. The consistency of the order of $$n^{-1/2}$$ n - 1 / 2 in the (expected) L $$_1$$ 1 -norm of Kolmogorov estimator (MKE) is known if the degree of variations of the nonparametric family $$\mathcal {D}$$ D ...
This paper studies properties of parameter estimators obtained by minimizing a distance between the empirical probability generating function and the probability generating function of a model for count data. Specifically, it is shown that, under certain not restrictive conditions, the resulting estimators are consistent and, suitably normalized, asymptotically normal. These properties hold even if...
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