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Several Brownian areas are considered in this paper: the Brownian excursionarea, the Brownian bridge area, the Brownian motion area, the Brownian meanderarea, the Brownian double meander area, the positive part of Brownian bridgearea, the positive part of Brownian motion area. We are interested in theasymptotics of the right tail of their density function. Inverting a doubleLaplace transform, we can derive, in a mechanical way, all terms of anasymptotic expansion. We illustrate our technique with the computation of thefirst four terms. We also obtain asymptotics for the right tail of thedistribution function and for the moments. Our main tool is the two-dimensionalsaddle point method.

Tail estimates for the Brownian excursion area and other Brownian areas