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Spatial point processes.

Li, Ao.

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Spatial point processes.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spatial point processes./
Author:	Li, Ao.
Description:	34 p.
Notes:	Source: Masters Abstracts International, Volume: 54-01.
Contained By:	Masters Abstracts International54-01(E).
Subject:	Statistics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1567865
ISBN:	9781321292428

Spatial point processes.
Li, Ao.

Spatial point processes. - 34 p.

Source: Masters Abstracts International, Volume: 54-01.

Thesis (M.S.)--Indiana University, 2014.

This item must not be sold to any third party vendors.

Spatial point pattern processes have been widely studied and applied in different areas such as criminology, biology, and ecology. With the assumptions of stationarity and isotropy, the K function with its estimate is commonly used to study the spatial dependency. In this thesis, we develop the K function for point pattern processes on the sphere. The K function obtained on the sphere is compared to its counterpart in planar Euclidean space R2. We show that the K function is proportional to 1-- cos(distance) under the assumption of complete spatial randomness (CSR), while it is proportional to the square of distance in Euclidean space. In addition, we apply the spherical K function to examine regular and equidistant hexagonal global grid. The data of regular latitude-longitude grids is shown to be a clustered point pattern because there are more points in polar regions than in the equator region. Meanwhile, the hexagonal grid shows states a dispersed spatial point pattern. Moreover, the structure of the Global Comprehensive Operating System (GCOS) Upper-Air Network (GUAN) is analyzed by its spherical K function to test the even spatial coverage of the stations. We learn that it is clustered among some distances between stations due to the constraints of coasts and continents. Our spherical K function provides a supplementary analysis for the spatial point process and a precise tool for many applications such as astronomy, anatomy, and neuroscience. We also provide R codes for the spherical K function.

ISBN: 9781321292428Subjects--Topical Terms:

517247
Statistics.

Spatial point processes.
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100 1 $a Li, Ao. $3 3173075
245 1 0 $a Spatial point processes.
300 $a 34 p.
500 $a Source: Masters Abstracts International, Volume: 54-01.
500 $a Adviser: Chunfeng Huang.
502 $a Thesis (M.S.)--Indiana University, 2014.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a Spatial point pattern processes have been widely studied and applied in different areas such as criminology, biology, and ecology. With the assumptions of stationarity and isotropy, the K function with its estimate is commonly used to study the spatial dependency. In this thesis, we develop the K function for point pattern processes on the sphere. The K function obtained on the sphere is compared to its counterpart in planar Euclidean space R2. We show that the K function is proportional to 1-- cos(distance) under the assumption of complete spatial randomness (CSR), while it is proportional to the square of distance in Euclidean space. In addition, we apply the spherical K function to examine regular and equidistant hexagonal global grid. The data of regular latitude-longitude grids is shown to be a clustered point pattern because there are more points in polar regions than in the equator region. Meanwhile, the hexagonal grid shows states a dispersed spatial point pattern. Moreover, the structure of the Global Comprehensive Operating System (GCOS) Upper-Air Network (GUAN) is analyzed by its spherical K function to test the even spatial coverage of the stations. We learn that it is clustered among some distances between stations due to the constraints of coasts and continents. Our spherical K function provides a supplementary analysis for the spatial point process and a precise tool for many applications such as astronomy, anatomy, and neuroscience. We also provide R codes for the spherical K function.
590 $a School code: 0093.
650 4 $a Statistics. $3 517247
690 $a 0463
710 2 $a Indiana University. $b Statistics. $3 3173076
773 0 $t Masters Abstracts International $g 54-01(E).
790 $a 0093
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793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1567865