Isotropy test for spatial point processes using stochastic reconstruction

Byth, 1981, θ-stationary point processes and their second-order analysis, J. Appl. Probab., 18, 864, 10.2307/3213061 Chiu, 2013, Stationarity tests for spatial point processes using discrepancies, Biometrics, 69, 497, 10.1111/biom.12031 Chiu, 2013 Comas, 2011, A second order approach to analyse spatial point patterns with functional marks, TEST, 20, 503, 10.1007/s11749-010-0215-1 Davison, 1997 Delicado, 2010, Statistics for spatial functional data: some recent contributions, Environmetrics, 21, 224, 10.1002/env.1003 Diggle, 2013 Ghorbani, 2013, Cauchy cluster process, Metrika, 76, 697, 10.1007/s00184-012-0411-y Guan, 2007, A composite likelihood cross-validation approach in selecting bandwidth for the estimation of the pair correlation function, Scand. J. Statist., 34, 336, 10.1111/j.1467-9469.2006.00533.x Guan, 2007, A least-squares cross-validation bandwidth selection approach in pair correlation estimations, Statist. Probab. Lett., 77, 1722, 10.1016/j.spl.2007.04.016 Guan, 2008, A KPSS test for stationarity for spatial point processes, Biometrics, 64, 800, 10.1111/j.1541-0420.2007.00977.x Guan, 2006, Assessing isotropy for spatial point processes, Biometrics, 62, 119, 10.1111/j.1541-0420.2005.00436.x Illian, 2008 Mecke, 2000, Additivity, convexity, and beyond: applications of Minkowski functionals in statistical physics, vol. 554, 111 Møller, 2014, Geometric anisotropic spatial point pattern analysis and Cox processes, Scand. J. Statist., 41, 414, 10.1111/sjos.12041 Ohser, 1981, On the second-order and orientation analysis of planar stationary point processes, Biom. J., 23, 523, 10.1002/bimj.4710230602 Platt, 1988, The population dynamics of a long-lived conifer (Pinus palustris), Am. Nat., 131, 491, 10.1086/284803 Ripley, 1977, Modelling spatial patterns (with discussion), J. R. Stat. Soc. Ser. B, 39, 172 Ripley, 1988 Stoyan, 1995 Stoyan, 1994 Stoyan, 1996, Estimating pair correlation functions of planar cluster processes, Biom. J., 38, 259, 10.1002/bimj.4710380302 Tscheschel, 2008, Quasi-plus sampling edge correction for spatial point patterns, Comput. Statist. Data Anal., 52, 5287, 10.1016/j.csda.2008.05.012 Tscheschel, 2006, Statistical reconstruction of random point patterns, Comput. Statist. Data Anal., 51, 859, 10.1016/j.csda.2005.09.007 Zhang, 2014, Test for the first-order stationarity for spatial point processes in arbitrary regions, J. Agric. Biol. Environ. Stat., 19, 387, 10.1007/s13253-014-0177-y