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Anisotropy analysis of pressed point processes

Claudia Redenbach ; Aila Särkkä (Institutionen för matematiska vetenskaper, matematisk statistik) ; Katja Schladitz ; Freitag Johannes
Advances in Statistical Analysis Vol. 93 (2009), 3, p. 237-261.
[Artikel, refereegranskad vetenskaplig]

This paper introduces methods for the detection of anisotropies which are caused by compression of regular three-dimensional point patterns. Isotropy tests base d on directional summary statistics and estimators for the compression factor are developed. These allow not only for the detection of anisotropies but also for the estimation of their strength. Using simulated data the power of the methods and the dependence of the power on the intensity, the degree of regularity, and the compression strength are studied. The motivation of this paper is the investigation of anisotropies in the structure of polar ice. Therefore, our methods a re applied to the point patterns of centres of air pores extracted from tomographic images of ice cores. This way the presence of anisotropies in the ice caused by the compression of the ice sheet as well as an increase of their strength with increasing depth are shown.

Nyckelord: {anisotropy, isotropy test, nearest neighbour distance, orientation ana lysis, polar ice, pressed point process, Ripley's K function



Denna post skapades 2009-12-11. Senast ändrad 2017-07-03.
CPL Pubid: 103320

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Annan matematik

Chalmers infrastruktur