## An intrinsic approach to nonparametric density estimation. (Une approche intrinsèque de l’estimation non paramétrique de la densité.)(French)Zbl 0919.62028

Summary: We consider samples $$X_1,\dots,X_n$$ partially observed through the indicators of the events $$\{X_i\in ((M-1+r)h$$, $$(M+r)h)\}$$, $$1\leq i\leq n$$, $$1\leq r\leq N$$. We estimate the underlying density $$f$$ by averaging a class of histograms based upon intervals with endpoints in $$\{kh:k \in\mathbb{N}\}$$. We show that the resulting estimators are easy to use and have limiting properties which are bound to justify their use in statistical analysis.

### MSC:

 62G07 Density estimation 62G20 Asymptotic properties of nonparametric inference

histograms
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