A functional limit theorem for random walk conditioned to stay non-negative. Bryn-Jones, A. & Doney, R. A. J. London Math. Soc. (2), 74(1):244–258, 2006.
A functional limit theorem for random walk conditioned to stay non-negative [link]Paper  doi  bibtex   
@article{MR2254563,
	Author = {Bryn-Jones, A. and Doney, Ronald A.},
	Coden = {JLMSAK},
	Date-Added = {2010-07-16 09:37:24 -0700},
	Date-Modified = {2010-09-21 16:47:05 -0700},
	Doi = {10.1112/S0024610706022964},
	Fjournal = {Journal of the London Mathematical Society. Second Series},
	Issn = {0024-6107},
	Journal = {J. London Math. Soc. (2)},
	Mrclass = {60F17 (60G50 60K05)},
	Mrnumber = {MR2254563 (2007k:60093)},
	Mrreviewer = {Anthony G. Pakes},
	Number = {1},
	Pages = {244--258},
	Title = {A functional limit theorem for random walk conditioned to stay non-negative},
	Url = {http://dx.doi.org/10.1112/S0024610706022964},
	Volume = {74},
	Year = {2006},
	Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2254563},
	Bdsk-Url-2 = {http://dx.doi.org/10.1112/S0024610706022964}}

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