## Electronic Communications in Probability

### Standardness and nonstandardness of next-jump time filtrations

Stéphane Laurent

#### Abstract

The value of the next-jump time process at each time is the date of its the next jump. We characterize the standardness of the filtration generated by this process in terms of the asymptotic behavior at $n=-\infty$ of the probability that the process jumps at time $n$. In the case when the filtration is not standard we characterize the standardness of its extracted filtrations.

#### Article information

Source
Electron. Commun. Probab., Volume 18 (2013), paper no. 56, 11 pp.

Dates
Accepted: 7 July 2013
First available in Project Euclid: 7 June 2016

https://projecteuclid.org/euclid.ecp/1465315595

Digital Object Identifier
doi:10.1214/ECP.v18-2766

Mathematical Reviews number (MathSciNet)
MR3078019

Zentralblatt MATH identifier
1300.60041

Rights

#### Citation

Laurent, Stéphane. Standardness and nonstandardness of next-jump time filtrations. Electron. Commun. Probab. 18 (2013), paper no. 56, 11 pp. doi:10.1214/ECP.v18-2766. https://projecteuclid.org/euclid.ecp/1465315595

#### References

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