1. Factorial moments of point processes.
- Author
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Breton, Jean-Christophe and Privault, Nicolas
- Subjects
- *
POINT processes , *MATHEMATICAL symmetry , *DISTRIBUTION (Probability theory) , *MATHEMATICAL transformations , *FACTOR analysis , *PROOF theory - Abstract
We derive joint factorial moment identities for point processes with Papangelou intensities. Our proof simplifies previous combinatorial approaches to the computation of moments for point processes. We also obtain new explicit sufficient conditions for the distributional invariance of point processes with Papangelou intensities under random transformations. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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