Proximity Catch Digraphs

Name: Proximity Catch Digraphs
Brand: VDM Verlag Dr. Müller
SKU: 9783639190632
Price: 328.01 PLN
Availability: InStock

Auxiliary Tools, Properties, and Applications

Autor: Elvan Ceyhan

Język:

Oprawa: Miękka

Wydawca: VDM Verlag Dr. Müller

Dostępność: Na zamówienie

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328.01 zł

This book introduces proximity catch digraphs (PCDs) based on multiple types of data points in a mea...

Informacje o książce

Autor

Elvan Ceyhan

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2009

strony

320

EAN

9783639190632

Enbook ID

06827174

Wydawca

VDM Verlag Dr. Müller

Waga

493

Wymiary

150 x 220 x 19

Pełny opis

This book introduces proximity catch digraphs (PCDs) based on multiple types of data points in a measurable space. The PCDs are constructed using the relative positions of members of points from a class of interest with respect to the Delaunay tessellation of points from another class. Among the advantages of PCDs is mathematical tractability of the distribution of the domination number, moments of relative density, and geometry invariance for uniform data. Thus PCDs are applicable on statistical hypothesis testing and pattern classification. The domination number and relative density are both used to test a type of complete spatial randomness against spatial point patterns of segregation and association. The power of the tests is assessed by asymptotic efficiency methods such as Pitman asymptotic efficiency, Hodges-Lehmann asymptotic efficiency, and asymptotic power function analysis. Finite sample power is analyzed by extensive Monte Carlo simulations. The methods are illustrated in the two dimensional case, but are applicable to higher dimensions as well as to other types of proximity maps.

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Proximity Catch Digraphs

Auxiliary Tools, Properties, and Applications

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Pełny opis

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