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Distribution functions for age-at-failure T0

dist0.Rd

Convenience functions for the CDF and density of \(T_0\).

Usage

F0(t, model, ...)

f0(t, model, ...)

Arguments

t

Numeric vector of times (\(t \ge 0\)).

model

One of "uniform", "exponential", "gompertz", "makeham", "weibull".

...

Model parameters:

  • uniform: omega

  • exponential: lambda

  • gompertz: B, c

  • makeham: A, B, c

  • weibull: shape, scale

Value

Numeric vector. For F0: CDF values in \([0,1]\). For f0: density values (\(\ge 0\)).

Details

  • F0(t) computes \(F_0(t)=Pr(T_0 \le t)=1-S_0(t)\)

  • f0(t) computes \(f_0(t)=\frac{d}{dt}F_0(t)\)