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The Maximum of Brownian Motion Minus a Parabola

  
@article{EJP826,
	author = {Piet Groeneboom},
	title = {The Maximum of Brownian Motion Minus a Parabola},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Brownian motion, parabolic drift, maximum, Airy functions},
	abstract = {We derive a simple integral representation for the distribution of the maximum of Brownian motion minus a parabola, which can be used for computing the density and moments of the distribution, both for one-sided and two-sided Brownian motion.},
	pages = {no. 62, 1930-1937},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-826},    
        url = {http://ejp.ejpecp.org/article/view/826}}