Ergodic Properties of General PALM Measures
✍ Scribed by M. Zähle
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 615 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
## Abstract Let __P__ be a Markov kernel defined on a measurable space (__X__, 𝒜). A __P__‐ergodic probability is an extreme point of the family of all __P__‐invariant probability measures on 𝒜. Several characterizations of __P__‐ergodic probabilities are given. In particular, for the special case
I n the theory of random processes and fields several conditional distributions are of interest. When studyiiig the behaviour of sample paths, the m-called horizontal-window conditional (h.-w.c.) distributions are relevant. Theseare the (weak) limits oP the conditional distributions of the process,