Nonparametric estimation of the dependence of a spatial point process on spatial covariates

被引：2
作者：
Baddeley, Adrian [1 ,2 ]
Chang, Ya-Mei [3 ]
Song, Yong [4 ]
Turner, Rolf [5 ]
机构：
[1] CSIRO Math Informat & Stat, Perth, WA, Australia
[2] Univ Western Australia, Sch Math & Stat, Nedlands, WA 6009, Australia
[3] Tamkang Univ, Dept Stat, Taipei, Taiwan
[4] CSIRO Land & Water Highett, Melbourne, Vic, Australia
[5] Univ Auckland, Dept Stat, Auckland 1, New Zealand
来源：
STATISTICS AND ITS INTERFACE | 2012年 / 5卷 / 02期
关键词：
Confidence intervals; Density estimation; Kernel smoothing; Local likelihood; Logistic regression; Point process intensity; Poisson point process; Geological] prospectivity mapping; Spatial covariates; Relative distributions; Resource selection function; Weighted distribution; DENSITY-ESTIMATION; CONFIDENCE-INTERVALS; REGRESSION; DISEASE; RISK; PROBABILITY; BOOTSTRAP;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the statistical analysis of spatial point patterns, it is often important to investigate whether the point pattern depends on spatial covariates. This paper describes non-parametric (kernel and local likelihood) methods for estimating the effect of spatial covariates on the point process intensity. Variance estimates and confidence intervals are provided in the case of a Poisson point process. Techniques are demonstrated with simulated examples and with applications to exploration geology and forest ecology.
引用
收藏
页码：221 / 236
页数：16
相关论文
共 68 条
  • [11] Spatial logistic regression and change-of-support in Poisson point processes
    Baddeley, A.
    Berman, M.
    Fisher, N. I.
    Hardegen, A.
    Milne, R. K.
    Schuhmacher, D.
    Shah, R.
    Turner, R.
    [J]. ELECTRONIC JOURNAL OF STATISTICS, 2010, 4 : 1151 - 1201
  • [12] Practical maximum pseudolikelihood for spatial point patterns
    Baddeley, A
    Turner, R
    [J]. AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 2000, 42 (03) : 283 - 315
  • [13] Baddeley A., 2010, ANAL SPATIAL POINT P
  • [14] Non- and semi-parametric estimation of interaction in inhomogeneous point patterns
    Baddeley, AJ
    Moller, J
    Waagepetersen, R
    [J]. STATISTICA NEERLANDICA, 2000, 54 (03) : 329 - 350
  • [15] Baddeley AJ, 1999, MG STAT PRO, V80, P37
  • [16] A NOTE ON SPATIAL PATTERN
    BARTLETT, MS
    [J]. BIOMETRICS, 1964, 20 (04) : 891 - +
  • [17] BERMAN M, 1986, J R STAT SOC C-APPL, V35, P54
  • [18] ESTIMATION OF RELATIVE RISK FUNCTIONS
    BITHELL, JF
    [J]. STATISTICS IN MEDICINE, 1991, 10 (11) : 1745 - 1751
  • [19] AN APPLICATION OF DENSITY-ESTIMATION TO GEOGRAPHICAL EPIDEMIOLOGY
    BITHELL, JF
    [J]. STATISTICS IN MEDICINE, 1990, 9 (06) : 691 - 701
  • [20] Brillinger DR, 1978, DEV STATISTICS, V1, P33
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