Applied Analysis of Point Processes and Fields: Statistical Analysis of Migration of Earthquakes

2013 ◽  
pp. 63-79
Author(s):  
A. F. Kushnir ◽  
I. V. Kuznetsov ◽  
A. A. Lyubushin ◽  
V. F. Pisarenko ◽  
I. V. Zalyapin
Keyword(s):  
Statistical Analysis ◽  
Point Processes ◽  
Migration Of Earthquakes

The statistical analysis of spatial pattern

1974 ◽  
Vol 6 (02) ◽  
pp. 336-358 ◽  
Author(s):  
M. S. Bartlett
Keyword(s):  
Stochastic Process ◽  
Statistical Analysis ◽  
Spatial Pattern ◽  
Point Processes ◽  
Two Dimensions ◽  
Statistical Techniques ◽  
Continuous Processes ◽  
Lattice Processes

A brief survey is made of the range of models and statistical techniques relevant to the analysis of spatial pattern, and more detailed discussion given to three specific classes of stochastic process in two dimensions viz. (i) continuous processes X(r), (ii) point processes N(r), (iii) lattice processes Xi . The appropriate theory for these classes of processes is indicated in Part I; and in Part II some examples of data are classified under these same three headings, and their statistical analysis discussed.

Multitype Markov point processes: some approximations

1984 ◽  
Vol 391 (1800) ◽  
pp. 39-53 ◽  
Keyword(s):  
Statistical Analysis ◽  
Point Processes ◽  
Boundary Effects ◽  
Point Interactions ◽  
Point Patterns ◽  
Spatial Point ◽  
Spatial Point Patterns ◽  
Markov Point Processes ◽  
Moment Measure ◽  
Reduced Second Moment Measure

Approximations are derived for some simple properties of a Strauss-type spatial point process with two types of point, on the assumption that the interactions between points are fairly weak and that boundary effects are negligible. In particular, expansions are obtained of the reduced second moment measure K ij used in the statistical analysis of spatial point patterns. It is found that these expansions may be useful in the estimation of the inter-point interactions and their ranges.

The statistical analysis of spatial pattern

1974 ◽  
Vol 6 (2) ◽  
pp. 336-358 ◽  
Author(s):  
M. S. Bartlett
Keyword(s):  
Stochastic Process ◽  
Statistical Analysis ◽  
Spatial Pattern ◽  
Point Processes ◽  
Two Dimensions ◽  
Statistical Techniques ◽  
Continuous Processes ◽  
Lattice Processes

A brief survey is made of the range of models and statistical techniques relevant to the analysis of spatial pattern, and more detailed discussion given to three specific classes of stochastic process in two dimensions viz. (i) continuous processes X(r), (ii) point processes N(r), (iii) lattice processes Xi. The appropriate theory for these classes of processes is indicated in Part I; and in Part II some examples of data are classified under these same three headings, and their statistical analysis discussed.

Statistical analysis of fractal properties of point processes modeling seismic sequences

2001 ◽  
Vol 125 (1-4) ◽  
pp. 65-83 ◽  
Author(s):  
Luciano Telesca ◽  
Vincenzo Cuomo ◽  
Vincenzo Lapenna ◽  
Maria Macchiato
Keyword(s):  
Statistical Analysis ◽  
Point Processes ◽  
Seismic Sequences ◽  
Fractal Properties
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