Title: Flexible two-piece families of circular distributions
Authors: Jose Ameijeiras-Alonso - KU Leuven (Belgium) [presenting]
Irene Gijbels - KU Leuven (Belgium)
Anneleen Verhasselt - Hasselt University (Belgium)
Abstract: Starting from a base symmetric density and a weight function, a two-piece four parameters density is introduced. The family of unimodal distributions presents a very wide range of skewness and peakedness properties and it allows to generalize some well-known peakedness-free models such as the Batschelet and Papakonstantinou densities. The four parameters of the model have a clear interpretation (mode, concentration, peakedness at the left and at the right of the mode) and symmetric submodels are just obtained when the peakedness parameters are equal. The main properties of the new density are investigated and asymptotic results for maximum likelihood estimators are derived. Finally, the new distribution is applied to real data concerning the time at which the temperature cycle changes.