Exponential functionals of Brownian motion and related processes

書誌事項

Exponential functionals of Brownian motion and related processes

Marc Yor

(Springer finance)

Springer, c2001

大学図書館所蔵 件 / 59

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1988 and 1998. Throughout the volume, connections with more recent studies involving exponential functionals of Levy processes are indicated. Some papers originally published in French are made available in English for the first time.

目次

0. Functionals of Brownian Motion in Finance and in Insurance.- 1. On Certain Exponential Functionals of Real-Valued Brownian Motion J Appl. Prob. 29 (1992), 202-208.- 2. On Some Exponential Functionals of Brownian Motion Adv. Appl. Prob. 24 (1992), 509-531.- 3. Some Relations between Bessel Processes, Asian Options and Confluent Hypergeometric Functions C.R. Acad. Sci., Paris, Ser. I 314 (1992), 417-474 (with Helyette Geman).- 4. The Laws of Exponential Functionals of Brownian Motion, Taken at Various Random Times C.R. Acad. Sci., Paris, Ser. I 314 (1992), 951-956.- 5. Bessel Processes, Asian Options, and Perpetuities Mathematical Finance, Vol. 3, No. 4 (October 1993), 349-375 (with Helyette Geman).- 6. Further Results on Exponential Functionals of Brownian Motion.- 7. From Planar Brownian Windings to Asian Options Insurance: Mathematics and Economics 13 (1993), 23-34.- 8. On Exponential Functionals of Certain Levy Processes Stochastics and Stochastic Rep. 47 (1994), 71-101 (with P. Carmona and F. Petit).- 9. On Some Exponential-integral Functionals of Bessel Processes Mathematical Finance, Vol. 3 No. 2 (April 1993), 231-240.- 10. Exponential Functionals of Brownian Motion and Disordered Systems J. App. Prob. 35 (1998), 255-271 (with A. Comtet and C. Monthus).

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