Invariance of Poisson point processes by moment identities with statistical applications
DOI10.1007/978-3-030-87432-2_13zbMath1499.60157OpenAlexW4211072283MaRDI QIDQ2107418
Publication date: 1 December 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-87432-2_13
momentsstochastic geometryPoisson point processGram-Charlier expansionsfiltered shot noise processesneuron membrane potentialsrandom-connection model
Geometric probability and stochastic geometry (60D05) Generalizations of martingales (60G48) Stopping times; optimal stopping problems; gambling theory (60G40) Stochastic calculus of variations and the Malliavin calculus (60H07) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Unnamed Item
- Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry
- Unbiased estimation of the volume of a convex body
- Factorial moments of point processes
- Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
- Invariance of Poisson measures under random transformations
- Nonstationary shot noise modeling of neuron membrane potentials by closed-form moments and Gram-Charlier expansions
- Laplace transform identities for the volume of stopping sets based on Poisson point processes
- Lévy Systems and Moment Formulas for Mixed Poisson Integrals
- Integral and Differential Characterizations of the GIBBS Process
- Decomposition of gamma-distributed domains constructed from Poisson point processes
- Stopping sets: Gamma-type results and hitting properties
- Gamma-type results and other related properties of Poisson processes
- Moments of Poisson stochastic integrals with random integrands
- Cardinality estimation for random stopping sets based on Poisson point processes
- Moments of k-hop counts in the random-connection model
- A more comprehensive complementary theorem for the analysis of Poisson point processes
- Theory of Random Sets
- Some Properties of Stationary Flows of Homogeneous Random Events
- [https://portal.mardi4nfdi.de/wiki/Publication:5549427 Station�re zuf�llige Ma�e auf lokalkompakten Abelschen Gruppen]
- Moment formulae for general point processes
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