A note on density estimation for Poisson mixtures

Let X be a random variable that has the distribution of a Poisson mixture with an absolutely continuous mixing distribution. An elementary proof is given that any estimator of the mixing density must converge slower than any power of the sample size.

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Year of publication:	1996
Authors:	McKay, Ian
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 27.1996, 3, p. 255-258
Publisher:	Elsevier
Keywords:	Density estimation Poisson mixtures Species abundance

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005319890