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Bolet´ın de Estad´ıstica e Investigaci´on Operativa

Vol. 33, No. 2, Julio 2017, pp. 85-107


An introduction to statistical methods for

circular data

Rosa M. Crujeiras

Departamento de Estat´ıstica, An´alise Matem´atica

e Optimizaci´on

Universidade de Santiago de Compostela



Angles, directions, events, occurrences along time... all

of them can be viewed as data on a circle (circular data).

The particular nature of this type of data requires specific

and adapted inferential and modelling procedures. Although

there are quite a few references on this topic, and despite

circular data are quite common in many applied sciences,

they are frequently overlooked. This brief introduction aims

to give the reader just some basic ideas on circular data

analysis (with some mentions to the general case of spherical

or directional data), providing some relevant references and

tools for their application in practice.


Circular data, Kernel estimation, von Mises.

AMS Subject classifications:

62G07, 62G08, 62P10.

c 2017 SEIO