The second-order statistical analysis of marked inhomogeneous spatio-temporal point processes

• An earthquake is characterised by the shaking of the surface of the Earth, and can range from being imperceptible to causing huge damage and killing thousands of people. Magnitude is a measure of the size of an earthquake source, and does not depend on the spatio-temporal location of the event. The data in this study includes all earthquakes with magnitude larger than or equal to 5, with a total of 1248 earthquakes registered from 2004 to 2008, in the area of Sumatra (Indonesia). We analyse the interaction between different types of earthquakes, classified according to their magnitude, at different space-time scales. We want to identify spatio-temporal interaction between high magnitude earthquakes (magnitude larger than 5:5) and smaller magnitude earthquakes ( 5:5). The analysis shows a strong relation between big earthquakes and aftershocks. We observe that aftershocks could span their power as far as 3,000 km and 400 days. Random labelling testing shows, as expected, that we do not have random labelling.

Ämnesord

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Nyckelord

Second-order analysis

Marked inhomogeneous point pattern

Earthquake data

Marked inhomogeneous spatio-temporal K-function

Mathematical Statistics

matematisk statistik

Statistics

statistik

Publikations- och innehållstyp

vet (ämneskategori)

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