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                <term xml:lang="en">Reflected Brownian motion</term>
                <term xml:lang="en">Bessel process</term>
                <term xml:lang="en">local score</term>
                <term xml:lang="en">Brownian meander and Brownian bridge</term>
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              <p>Probability that the maximum of the reflected Brownian motion over a finite interval [0, t] is achieved by its last zero before t Abstract We calculate the probability pc that the maximum of a reflected Brownian motion U is achieved on a complete excursion, i.e. pc := P U (t) = U * (t) where U (t) (respectively U * (t)) is the maximum of the process U over the time interval [0, t] (resp. 0, g(t) where g(t) is the last zero of U before t).</p>
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