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\(cov[G(s), G(t)] = F(s \wedge t) - F(s)F(t)\) (Kosorok Ch. 2). Mirrors morie.fn.ksr030.

Usage

morie_bridge_covariance(s, t, F = NULL)

Arguments

s, t

numeric time points.

F

optional CDF; the uniform on [0, 1] when NULL.

Value

list: covariance, variance_s.

References

Kosorok, M. R. (2008). Introduction to Empirical Processes and Semiparametric Inference. Springer. Ch. 2.

Examples

morie_bridge_covariance(0.3, 0.7)$covariance
#> [1] 0.09