RT Journal Article
T1 Semiparametric regression for circular responsewith application in ecology
A1 Ameijeiras Alonso, José
A1 Gijbels, Irène
K1 Directional statistics
K1 Flexible modeling
K1 Local likelihood
K1 Modal direction regression
AB A regression model for a circular response variabledepending on a linear or a circular predictor is pre-sented in this paper. The conditional density belongsto a parametric flexible family that allows for asymme-try and varying peakedness around the modal direction.The modal direction and concentration depend on thecovariate and are nonparametrically modeled via localpolynomial fitting with a kernel weight. The asymp-totic normality of the estimators for the conditionalmodal direction and concentration is established. Fur-thermore, from these theoretical results, the expressionof the optimal smoothing parameter and a proposeddata-driven estimator are derived. An application con-cerns the orientation of migratory birds according to theflight altitude and the wind direction.
PB Wiley
YR 2025
FD 2025
LK https://hdl.handle.net/10347/46536
UL https://hdl.handle.net/10347/46536
LA eng
NO Ameijeiras-Alonso, J., & Gijbels, I. (2025) Semiparametric regression for circular responsewith application in ecology. Scandinavian Journal of Statistics, 53(1), 54-101. https://doi.org/10.1111/sjos.70027
NO Ministerio de Ciencia, Innovación y Universidades, Grant/Award Number:PID2020-116587GB-I00; Xunta deGalicia, Grant/Award Number: ED431C2021/24; KU Leuven, Grant/AwardNumber: C16/20/002; ResearchFoundation Flanders, Sabbatical BenchFee, Grant/Award Number: K803924N[Correction added on 10 December 2025,after the first online publication: In theFunding information section, the funderand grant number “Research FoundationFlanders, Sabbatical Bench Fee, Grant/Award Number: K803924N” has been added in this version.]
DS Minerva
RD 19 may 2026