Optimal Poisson quantisation
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Publication:2643385
DOI10.1016/j.spl.2007.02.004zbMath1128.60038OpenAlexW2003590065MaRDI QIDQ2643385
Nikolay Tontchev, Ilya S. Molchanov
Publication date: 23 August 2007
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2007.02.004
Geometric probability and stochastic geometry (60D05) Distribution theory (60E99) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Sampling theory in information and communication theory (94A20)
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Limit theorems for geometric functionals of Gibbs point processes ⋮ Variational Analysis of Poisson Processes
Cites Work
- Optimal approximation and quantisation
- On the coverage of k-dimensional space by k-dimensional spheres
- An introduction to the theory of point processes
- Limit theorems for random normalized distortion
- Weak laws of large numbers in geometric probability
- Optimum quantization and its applications
- Foundations of quantization for probability distributions
- Variational Analysis of Functionals of Poisson Processes
- Quantization of probability distributions under norm-based distortion measures
- A limit theorem for spatial point processes
