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A Distributional Identity for the Bivariate Brownian Bridge: A Nontensor Gaussian Field
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-06
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The bivariate Brownian bridge, a nontensor Gaussian Field, is defined by B(t1,t2)=W(t1,t2)W(1,1)=0=W(t1,t2)-t1t2W(1,1), where t1,t2∈I=[0,1] and W(t1,t2) is a Brownian sheet.
We obtain a distributional identity, a consequence of the Karhunen-Loève expansion for the bivariate Brownian bridge by Fredholm integral equation and Laplace transform approach.
American Psychological Association (APA)
Ai, Xiaohui. 2018. A Distributional Identity for the Bivariate Brownian Bridge: A Nontensor Gaussian Field. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1209763
Modern Language Association (MLA)
Ai, Xiaohui. A Distributional Identity for the Bivariate Brownian Bridge: A Nontensor Gaussian Field. Mathematical Problems in Engineering No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1209763
American Medical Association (AMA)
Ai, Xiaohui. A Distributional Identity for the Bivariate Brownian Bridge: A Nontensor Gaussian Field. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1209763
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209763