a distributional identity for the bivariate brownian bridge: a nontensor gaussian field
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2018
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Abstract
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.
| Reference Key |
ai2018mathematicala
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|---|---|
| Authors | ;Xiaohui Ai |
| Journal | journal of power sources |
| Year | 2018 |
| DOI |
10.1155/2018/9687039
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