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The Maximum of Brownian Motion with Parabolic Drift

  
@article{EJP830,
	author = {Svante Janson and Guy Louchard and Anders Martin-Löf},
	title = {The Maximum of Brownian Motion with Parabolic Drift},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Brownian motion, parabolic drift, Airy functions},
	abstract = {We study the maximum of a Brownian motion with a parabolic drift; this is a random variable that often occurs as a limit of the maximum of discrete processes whose expectations have a maximum at an interior point. We give new series expansions and integral formulas for the distribution and the first two moments, together with numerical values to high precision.},
	pages = {no. 61, 1893-1929},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-830},    
        url = {http://ejp.ejpecp.org/article/view/830}}