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Computes \(S_{sys}(t) = 1 - F_{sys}(t)\) for a parallel system with exponential components.

Usage

S_sys_exp(t, par)

Arguments

t

Scalar time point (non-negative numeric).

par

Numeric vector of rates (length m).

Value

Scalar survival probability \(P(T_{sys} > t)\).

See also

F_sys_exp() for the CDF.

Examples

S_sys_exp(1, c(1, 2))  # P(T_sys > 1) for 2-component parallel
#> [1] 0.4534277