Maximizing the Mean Exit Time of a Brownian Motion from an Interval

Author

Lefebvre, Mario

Source

International Journal of Stochastic Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-04-05

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

Let X(t) be a controlled one-dimensional standard Brownian motion starting from x∈(−d,d).

The problem of optimally controlling X(t) until |X(t)|=d for the first time is solved explicitly in a particular case.

The maximal value that the instantaneous reward given for survival in (−d,d) can take is determined.

American Psychological Association (APA)

Lefebvre, Mario. 2011. Maximizing the Mean Exit Time of a Brownian Motion from an Interval. International Journal of Stochastic Analysis،Vol. 2011, no. 2011, pp.1-5.
https://search.emarefa.net/detail/BIM-461307

Modern Language Association (MLA)

Lefebvre, Mario. Maximizing the Mean Exit Time of a Brownian Motion from an Interval. International Journal of Stochastic Analysis No. 2011 (2011), pp.1-5.
https://search.emarefa.net/detail/BIM-461307

American Medical Association (AMA)

Lefebvre, Mario. Maximizing the Mean Exit Time of a Brownian Motion from an Interval. International Journal of Stochastic Analysis. 2011. Vol. 2011, no. 2011, pp.1-5.
https://search.emarefa.net/detail/BIM-461307

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-461307