We consider the problem of nonparametrically estimating a circular density from data contaminated by angular measurement errors. Specifically, we obtain a kernel-type estimator with weight functions that are reminiscent of deconvolution kernels. Here, differently from the Euclidean setting, discrete Fourier coefficients are involved rather than characteristic functions. We provide some simulation results along with a real data application.

Kernel Circular Deconvolution Density Estimation

Di Marzio M.;Fensore S.;
2020-01-01

Abstract

We consider the problem of nonparametrically estimating a circular density from data contaminated by angular measurement errors. Specifically, we obtain a kernel-type estimator with weight functions that are reminiscent of deconvolution kernels. Here, differently from the Euclidean setting, discrete Fourier coefficients are involved rather than characteristic functions. We provide some simulation results along with a real data application.
2020
Springer Proceedings in Mathematics and Statistics
La Rocca M., Liseo B., Salmaso L. EDS
Inglese
STAMPA
183
191
9
978-3-030-57305-8
978-3-030-57306-5
Springer
Basel
SVIZZERA
Circular kernels; Deconvolution; Fourier coeffcients; Measurement errors; Movements of ants
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
4
268
reserved
Di Marzio, M.; Fensore, S.; Panzera, A.; Taylor, C. C.
info:eu-repo/semantics/bookPart
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11564/775827
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