  We analyze the joint distributions and temporal correlations between the
partial maximum $m$ and the global maximum $M$ achieved by a Brownian Bridge on
the subinterval $[0,t_1]$ and on the entire interval $[0,t]$, respectively. We
determine three probability distribution functions: The joint distribution
$P(m,M)$ of both maxima; the distribution $P(m)$ of the partial maximum; and
the distribution $\Pi(G)$ of the gap between the maxima, $G = M-m$. We present
exact results for the moments of these distributions and quantify the temporal
correlations between $m$ and $M$ by calculating the Pearson correlation
coefficient.
