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On the distribution of the Brownian motion process on its way to hitting zero

   
@article{ECP1555,
	author = {Konstantin Borovkov},
	title = {On the distribution of the Brownian motion process on its way to hitting zero},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {Brownian motion; hitting time; Brownian meander; Bessel bridge},
	abstract = {We present functional versions of recent results on the univariate distributions of the  process $V_{x,u} = x + W_{u\tau(x)},$ $0\le u\le 1$, where $W_\bullet$ is the standard  Brownian motion process,  $x>0$ and $\tau (x) =\inf\{t>0 :\, W_{t}=-x\}$.},
	pages = {no. 26, 281-285},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1555},    
        url = {http://ecp.ejpecp.org/article/view/1555}}