[Forum SIS] Seminar Andriette Bekker (Univ. of Pretoria) - Padova, Dec. 18, 2019 2.30 p.m.

[Patrizia Piacentini - PhD]

The Department of Statistical Sciences, University of Padova, invites 
you to the Seminar:

TITLE
MODELLING OF WIND DATA ON THE DISC MANIFOLD

SPEAKER
ANDRIETTE BEKKER
University of Pretoria

WHEN
December 18, 2019 - 2.30 p.m.

WHERE
Room Benvenuti - Campus S. Caterina
Via C. Battisti, 241
Padova

ABSTRACT
The joint modelling of angular and linear observations is crucial as 
data of this nature are prevalent in multiple disciplines, for example 
the joint modelling of wind direction and another climatological 
variable such as wind speed or air temperature, the direction an animal 
moves and the distance moved, or wave direction and wave height. Hence, 
there is a need for developing flexible distributions on the hyper-disc, 
which has support of the interior of the hyper-sphere, as it allows for 
modelling the combination of angular and linear observations. A new 
class of bivariate distributions is proposed which has support on the 
unit disc in two dimensions that includes, as a special case, the 
existing Möbius distribution on the disc. This new class of 
distributions for the disc have the ability to capture any inherent 
bimodality present in the data. The flexible behaviour of the proposed 
models in terms of bimodality and skewness is graphically demonstrated. 
The fit of the proposed models, which account for bimodality, to the 
Marion Island wind data were evaluated analytically and visually. The 
competence of the proposed models were also assessed by considering the 
Noupoort weather station in South Africa.

*Apologies for cross posting*

-- 
Patrizia Piacentini
Secretariat
PhD Course in Statistics
University of Padova
tel +39 049 8274167
fax +39 049 8271524
dottorato a stat.unipd.it

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