Generic Function for the Computation of Clipped First Moments
Generic function for the computation of clipped first moments.
The moments are clipped at upper.
m1df(object, upper, ...)
## S4 method for signature 'AbscontDistribution'
m1df(object, upper,
lowerTruncQuantile = getdistrExOption("m1dfLowerTruncQuantile"),
rel.tol = getdistrExOption("m1dfRelativeTolerance"), ...)object |
object of class |
upper |
clipping bound |
rel.tol |
relative tolerance for |
lowerTruncQuantile |
lower quantile for quantile based integration range. |
... |
additional arguments to |
The precision of the computations can be controlled via
certain global options; cf. distrExOptions.
The first moment of object clipped at upper is computed.
uses call E(object, upp=upper, ...).
clipped first moment
for absolutely continuous univariate distributions which is
computed using integrate.
clipped first moment
for discrete univariate distributions which is computed
using support and sum.
clipped first moment
for affine linear distributions which is computed on basis of
slot X0.
clipped first moment
for Binomial distributions which is computed using pbinom.
clipped first moment
for Poisson distributions which is computed using ppois.
clipped first moment
for normal distributions which is computed using dnorm and pnorm.
clipped first moment
for exponential distributions which is computed using pexp.
clipped first moment
for Chi^2 distributions which is computed using pchisq.
Matthias Kohl Matthias.Kohl@stamats.de
# standard normal distribution N1 <- Norm() m1df(N1, 0) # Poisson distribution P1 <- Pois(lambda=2) m1df(P1, 3) m1df(P1, 3, fun = function(x)sin(x)) # absolutely continuous distribution D1 <- Norm() + Exp() # convolution m1df(D1, 2) m1df(D1, Inf) E(D1)
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