Weighted Cross J-Function and Its Application to African Avian Flu Data
It is common to use geostatistical techniques to analyze epidemiological data. However, we might gain further insight by viewing these types of data as a point pattern due to the spatial nature of the dataset which would allow us to use the spatial information of each point and apply point process t...
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ftcdlib:qt9kp2p2cn 2023-05-15T15:34:18+02:00 Weighted Cross J-Function and Its Application to African Avian Flu Data Zanontian, Linda Ania 87 2016-01-01 application/pdf http://www.escholarship.org/uc/item/9kp2p2cn http://n2t.net/ark:/13030/m56731tz en eng eScholarship, University of California http://www.escholarship.org/uc/item/9kp2p2cn qt9kp2p2cn http://n2t.net/ark:/13030/m56731tz public Zanontian, Linda Ania. (2016). Weighted Cross J-Function and Its Application to African Avian Flu Data. UCLA: Statistics 0891. Retrieved from: http://www.escholarship.org/uc/item/9kp2p2cn Statistics dissertation 2016 ftcdlib 2016-06-03T22:54:49Z It is common to use geostatistical techniques to analyze epidemiological data. However, we might gain further insight by viewing these types of data as a point pattern due to the spatial nature of the dataset which would allow us to use the spatial information of each point and apply point process techniques. Point process techniques are applied to the avian influenza virus data, and a summary statistic called the weighted cross J-function is proposed. The ordinary cross J-function is extended to a weighted version by incorporating weights to account for inhomogeneity because this dataset appears to exhibit non-constant intensity. Unlike the ordinary cross J-function, the weighted cross J-function takes into account the varying background rate of the point process by incorporating weights for each point in the point patterns. The advantage of the weighted cross J -function is that it is used to measure the interaction between events in two point processes and to detect clustering or inhibition between them, in order to recognize where spatial interaction appears most prevalent. We introduce the weighted cross J-function, discuss its properties, demonstrate it with simulations and show its application to the African Avian Flu dataset. Doctoral or Postdoctoral Thesis Avian flu University of California: eScholarship |
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University of California: eScholarship |
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English |
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Statistics |
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Statistics Zanontian, Linda Ania Weighted Cross J-Function and Its Application to African Avian Flu Data |
topic_facet |
Statistics |
description |
It is common to use geostatistical techniques to analyze epidemiological data. However, we might gain further insight by viewing these types of data as a point pattern due to the spatial nature of the dataset which would allow us to use the spatial information of each point and apply point process techniques. Point process techniques are applied to the avian influenza virus data, and a summary statistic called the weighted cross J-function is proposed. The ordinary cross J-function is extended to a weighted version by incorporating weights to account for inhomogeneity because this dataset appears to exhibit non-constant intensity. Unlike the ordinary cross J-function, the weighted cross J-function takes into account the varying background rate of the point process by incorporating weights for each point in the point patterns. The advantage of the weighted cross J -function is that it is used to measure the interaction between events in two point processes and to detect clustering or inhibition between them, in order to recognize where spatial interaction appears most prevalent. We introduce the weighted cross J-function, discuss its properties, demonstrate it with simulations and show its application to the African Avian Flu dataset. |
format |
Doctoral or Postdoctoral Thesis |
author |
Zanontian, Linda Ania |
author_facet |
Zanontian, Linda Ania |
author_sort |
Zanontian, Linda Ania |
title |
Weighted Cross J-Function and Its Application to African Avian Flu Data |
title_short |
Weighted Cross J-Function and Its Application to African Avian Flu Data |
title_full |
Weighted Cross J-Function and Its Application to African Avian Flu Data |
title_fullStr |
Weighted Cross J-Function and Its Application to African Avian Flu Data |
title_full_unstemmed |
Weighted Cross J-Function and Its Application to African Avian Flu Data |
title_sort |
weighted cross j-function and its application to african avian flu data |
publisher |
eScholarship, University of California |
publishDate |
2016 |
url |
http://www.escholarship.org/uc/item/9kp2p2cn http://n2t.net/ark:/13030/m56731tz |
op_coverage |
87 |
genre |
Avian flu |
genre_facet |
Avian flu |
op_source |
Zanontian, Linda Ania. (2016). Weighted Cross J-Function and Its Application to African Avian Flu Data. UCLA: Statistics 0891. Retrieved from: http://www.escholarship.org/uc/item/9kp2p2cn |
op_relation |
http://www.escholarship.org/uc/item/9kp2p2cn qt9kp2p2cn http://n2t.net/ark:/13030/m56731tz |
op_rights |
public |
_version_ |
1766364742709936128 |