Stochastic models, 2008-10, Vol.24 (4), p.558-582
2008
Volltextzugriff (PDF)
Details
- Autor(en) / Beteiligte
- Titel
- Limit Laws for k-Coverage of Paths by a Markov-Poisson-Boolean Model
- Ist Teil von
- Stochastic models, 2008-10, Vol.24 (4), p.558-582
- Ort / Verlag
- Philadelphia, PA: Taylor & Francis Group
- Erscheinungsjahr
- 2008
- Quelle
- Business Source Ultimate
- Beschreibungen/Notizen
- Let P: = {X i } i≥1 be a stationary Poisson point process in ℜ d , {C i } i≥1 be a sequence of i.i.d. random sets in ℜ d , and be i.i.d. {0,1}-valued continuous time stationary Markov chains. We define the Markov-Poisson-Boolean model . t represents the coverage process at time t. We first obtain limit laws for k-coverage of an area at an arbitrary instant. We then obtain the limit laws for the k-coverage seen by a particle as it moves along a one-dimensional path.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 1532-6349eISSN: 1532-4214DOI: 10.1080/15326340802427448Titel-ID: cdi_pascalfrancis_primary_20902103
- Format
- –
- Schlagworte
- Coverage, Exact sciences and technology, Markov process, Markov processes, Mathematics, Numerical analysis, Numerical analysis. Scientific computation, Numerical methods in probability and statistics, Poisson-Boolean model, Primary 60D05, 60G70, Probability and statistics, Probability theory and stochastic processes, Sciences and techniques of general use, Secondary 05C05, 90C27, Sensor networks, Stochastic analysis, Stochastic processes, Target tracking