Fundamentals of Point Process Statistics

Point processes are mathematical models for irregular or random point patterns. A short introduction to the theory of point processes and their statistics, emphasizing connections between the presented theory and the use done by several authors and contributions appearing in this book is presented.

[1]  H. W. Lotwick Some models for multitype spatial point processes, with remarks on analysing multitype patterns , 1984, Journal of Applied Probability.

[2]  Dietrich Stoyan,et al.  Improving Ratio Estimators of Second Order Point Process Characteristics , 2000 .

[3]  A. Hamilton Toward Better Ways to Measure the Galaxy Correlation Function , 1993 .

[4]  Brian D. Ripley,et al.  Spatial Statistics: Ripley/Spatial Statistics , 2005 .

[5]  B. Ripley Statistical inference for spatial processes , 1990 .

[6]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[7]  J. Møller,et al.  Statistical Inference and Simulation for Spatial Point Processes , 2003 .

[8]  Dietrich Stoyan,et al.  On Estimators of the Nearest Neighbour Distance Distribution Function for Stationary Point Processes , 2006 .

[9]  D Stoyan,et al.  Morphological Characterization of Point Patterns , 2005, Biometrical journal. Biometrische Zeitschrift.

[10]  D. Stoyan,et al.  Fractals, random shapes and point fields : methods of geometrical statistics , 1996 .

[11]  Testing the complete spatial randomness by Diggle's test without an arbitrary upper limit , 2006 .

[12]  A. Baddeley Spatial sampling and censoring , 2019, Stochastic Geometry.

[13]  A. Baddeley,et al.  Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns , 2000 .

[14]  B. Hambly Fractals, random shapes, and point fields , 1994 .

[15]  K. Hanisch,et al.  Some remarks on estimators of the distribution function of nearest neighbour distance in stationary spatial point processes , 1984 .

[16]  Peter J. Diggle,et al.  Statistical analysis of spatial point patterns , 1983 .

[17]  A. Baddeley,et al.  A cautionary example on the use of second-order methods for analyzing point patterns , 1984 .

[18]  Klaus Mecke,et al.  Simulating stochastic geometries: morphology of overlapping grains , 2002 .

[19]  B. Ripley Modelling Spatial Patterns , 1977 .

[20]  van Marie-Colette Lieshout,et al.  Markov Point Processes and Their Applications , 2000 .

[21]  A. Baddeley,et al.  A non-parametric measure of spatial interaction in point patterns , 1996, Advances in Applied Probability.

[22]  A. Szalay,et al.  Bias and variance of angular correlation functions , 1993 .