✦ LIBER ✦
Characterization of spatial Poisson along optional increasing paths: A problem of dimension's reduction
✍ Scribed by G. Aletti; V. Capasso
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 94 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
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✦ Synopsis
A problem of reduction of dimension of a plane Poisson process is faced here by considering this process along optional increasing paths. A suitable reparametrization of an optional increasing path makes the process along the path a one-parameter Poisson process. A convenient characterization of the spatial Poisson process is so obtained. The key idea developed in this paper relates to the corresponding result which holds for one-parameter martingales stopped by a bounded stopping time.