We study higher order biased non-parametric estimators for circular densities. The idea is optimizing a local version of the log-likelihood function where the unknown log-density is replaced by a series expansion. It will be seen that the asymptotic bias will be reduced depending on the order of the expanding polynomial.
SMALL BIASED CIRCULAR DENSITY ESTIMATION / Marco Di Marzio, Stefania Fensore, Agnese Panzera, Charles C. Taylor. - ELETTRONICO. - (2015), pp. 1-4. (Intervento presentato al convegno CLADAG 2015).
SMALL BIASED CIRCULAR DENSITY ESTIMATION
Agnese Panzera;
2015
Abstract
We study higher order biased non-parametric estimators for circular densities. The idea is optimizing a local version of the log-likelihood function where the unknown log-density is replaced by a series expansion. It will be seen that the asymptotic bias will be reduced depending on the order of the expanding polynomial.
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