poisson random fields
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scholarly journals Scan statistics on Poisson random fields with applications in genomics

2016 ◽  
Vol 10 (2) ◽  
pp. 726-755 ◽  
Author(s):  
Nancy R. Zhang ◽  
Benjamin Yakir ◽  
Li C. Xia ◽  
David Siegmund
Keyword(s):  
Random Fields ◽  
Scan Statistics ◽  
Poisson Random Fields

scholarly journals Poisson Random Fields

2001 ◽  
Vol 29 (4) ◽  
pp. 1405-1425
Author(s):  
Thomas M. Liggett ◽  
Alexander E. Holroyd
Keyword(s):  
Random Fields ◽  
Poisson Random Fields

The multitype branching random walk: temporal and spatial limit theorems

1989 ◽  
Vol 21 (03) ◽  
pp. 491-512
Author(s):  
B. Gail Ivanoff
Keyword(s):  
Random Walk ◽  
Random Field ◽  
Random Fields ◽  
Limit Theorems ◽  
Branching Random Walk ◽  
Initial Field ◽  
Large Numbers ◽  
Poisson Random Fields ◽  
The Mean ◽  
Temporal And Spatial

We consider a multitype branching random walk with independent Poisson random fields of each type of particle initially. The existence of limiting random fields as the generation number, is studied, when the intensity of the initial field is renormalized in such a way that the mean measures converge. Spatial laws of large numbers and central limit theorems are given for the limiting random field, when it is non-trivial.

The multitype branching random walk: temporal and spatial limit theorems

1989 ◽  
Vol 21 (3) ◽  
pp. 491-512 ◽  
Author(s):  
B. Gail Ivanoff
Keyword(s):  
Random Walk ◽  
Random Field ◽  
Random Fields ◽  
Limit Theorems ◽  
Branching Random Walk ◽  
Initial Field ◽  
Large Numbers ◽  
Poisson Random Fields ◽  
The Mean ◽  
Temporal And Spatial

We consider a multitype branching random walk with independent Poisson random fields of each type of particle initially. The existence of limiting random fields as the generation number, is studied, when the intensity of the initial field is renormalized in such a way that the mean measures converge. Spatial laws of large numbers and central limit theorems are given for the limiting random field, when it is non-trivial.

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