Brownian bridges X0 = 2.0000000 XT = 3.0000000 T = 2.0000000 i = 80 s = 0.8000000 j = 160 t = 1.6000000 nX = 10000 nt = 200 Actual mean X(s): 2.4007444 Actual mean X(t): 2.8013367 Expected mean X(s): 2.4000000 Expected mean X(t): 2.8000000 Diff mean X(s): 0.0007444 Diff mean X(t): 0.0013367 0.107385 sigma 0.238191 sigma Actual Var X(s): 0.4805783 Actual var X(t): 0.3149119 Expected Var X(s): 0.4800000 Expected var X(t): 0.3200000 Diff Var X(s): 0.0005783 Diff var X(t): -0.0050881 Actual Cov(X(s),X(t)): 0.1571330 Expected Cov(X(s),X(t)): 0.1600000 Diff Cov(X(s),X(t)): -0.0028670