A Weak Convergence to Hermite Process by Martingale Differences

Joint Authors

Cheng, Ronglong
Sun, Xichao

Source

Advances in Mathematical Physics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-07-13

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Physics

Abstract EN

We consider the weak convergence to general Hermite process ZH,k of order k with index H.

By applying martingale differences we construct a sequence {ZH,kn , n=1,2,…} of multiple Wiener-Itô stochastic integrals such that it converges in distribution to the Hermite process ZH,k.

American Psychological Association (APA)

Sun, Xichao& Cheng, Ronglong. 2014. A Weak Convergence to Hermite Process by Martingale Differences. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-462187

Modern Language Association (MLA)

Sun, Xichao& Cheng, Ronglong. A Weak Convergence to Hermite Process by Martingale Differences. Advances in Mathematical Physics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-462187

American Medical Association (AMA)

Sun, Xichao& Cheng, Ronglong. A Weak Convergence to Hermite Process by Martingale Differences. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-462187

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-462187