1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
|
%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/
%% Created for weikang at 2020-04-22 14:18:22 -0700
%% Saved with string encoding Unicode (UTF-8)
@inbook{Sullivan2010,
Author = {O'Sullivan, D. and Unwin, D. J.},
Booktitle = {Geographic Information Analysis},
Chapter = {5},
Date-Added = {2020-04-22 14:18:04 -0700},
Date-Modified = {2020-04-22 14:18:21 -0700},
Doi = {10.1002/9780470549094.ch5},
Pages = {121-156},
Publisher = {John Wiley \& Sons, Ltd},
Title = {Point Pattern Analysis},
Year = {2010},
Bdsk-Url-1 = {https://doi.org/10.1002/9780470549094.ch5}}
@article{Baker:2004,
Author = {Baker, Rose D},
Date-Added = {2019-11-20 20:48:20 -0800},
Date-Modified = {2019-11-20 20:48:48 -0800},
Journal = {Acta tropica},
Number = {3},
Pages = {291--299},
Publisher = {Elsevier},
Title = {Identifying space--time disease clusters},
Volume = {91},
Year = {2004}}
@article{Jacquez:1996,
Author = {Jacquez, Geoffrey M},
Date-Added = {2019-11-20 20:47:22 -0800},
Date-Modified = {2019-11-20 20:47:31 -0800},
Journal = {Statistics in medicine},
Number = {18},
Pages = {1935--1949},
Publisher = {Wiley Online Library},
Title = {A k nearest neighbour test for space--time interaction},
Volume = {15},
Year = {1996}}
@article{Mantel:1967,
Author = {Mantel, Nathan},
Date-Added = {2019-11-20 20:45:32 -0800},
Date-Modified = {2019-11-20 20:52:18 -0800},
Issn = {0008-5472},
Journal = {Cancer research},
Month = {February},
Number = {2},
Pages = {209---220},
Title = {The detection of disease clustering and a generalized regression approach},
Volume = {27},
Year = {1967},
Bdsk-Url-1 = {http://europepmc.org/abstract/MED/6018555}}
@article{Rogerson:2001,
Author = {P. Rogerson},
Year = {2001},
Journal = {Journal of the Royal Statistical Society, Series A},
Volume = {164},
Pages = {87--96},
Title = {Monitoring point patterns for the development of space-time
clusters}
}
@article{Knox:1964,
Author = {E. G. Knox and M. S. Bartlett},
Date-Added = {2019-11-20 20:42:48 -0800},
Date-Modified = {2019-11-20 20:43:06 -0800},
Issn = {00359254, 14679876},
Journal = {Journal of the Royal Statistical Society. Series C (Applied Statistics)},
Number = {1},
Pages = {25--30},
Publisher = {[Wiley, Royal Statistical Society]},
Title = {The Detection of Space-Time Interactions},
Url = {http://www.jstor.org/stable/2985220},
Volume = {13},
Year = {1964},
Bdsk-Url-1 = {http://www.jstor.org/stable/2985220}}
@article{VanLieshout1996,
Abstract = {The strength and range of interpoint interactions in a spatial point process can be quantified by the function J = (1 - G)/(1 - F), where G is the nearest-neighbour distance distribution function and F the empty space function of the process. J(r) is identically equal to 1 for a Poisson process; values of J(r) smaller or larger than 1 indicate clustering or regularity, respectively. We show that, for a large class of point processes, J(r) is constant for distances r greater than the range of spatial interaction. Hence both the range and type of interaction can be inferred from J without parametric model assumptions. It is also possible to evaluate J(r) explicitly for many point process models, so that J is also useful for parameter estimation. Various properties are derived, including the fact that the J function of the superposition of independent point processes is a weighted mean of the J functions of the individual processes. Estimators of J can be constructed from standard estimators of F and G. We compute estimates of J for several standard point pattern datasets and implement a Monte Carlo test for complete spatial randomness.},
Author = {Lieshout, M. N. M. and Baddeley, A. J.},
Date-Added = {2018-11-12 17:23:48 -0800},
Date-Modified = {2018-11-12 17:24:22 -0800},
Doi = {10.1111/j.1467-9574.1996.tb01501.x},
Journal = {Statistica Neerlandica},
Keywords = {clustering, empty space function, J-statistic, Monte Carlo inference, nearest-neighbour distance distribution, Nguyen-Zessin formula, point process, spatial interaction, spatial statistics, regularity},
Number = {3},
Pages = {344-361},
Title = {A nonparametric measure of spatial interaction in point patterns},
Volume = {50},
Year = {1996},
Bdsk-Url-1 = {https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1467-9574.1996.tb01501.x},
Bdsk-Url-2 = {https://doi.org/10.1111/j.1467-9574.1996.tb01501.x}}
|
