m1df {distrEx}

Generic Function for the Computation of Clipped First Moments

Description

Generic function for the computation of clipped first moments. The moments are clipped at upper.

Usage

m1df(object, upper, ...)
## S4 method for signature 'AbscontDistribution'
m1df(object, upper, 
             lowerTruncQuantile = getdistrExOption("m1dfLowerTruncQuantile"),
             rel.tol = getdistrExOption("m1dfRelativeTolerance"), ...)

Arguments

object

object of class "Distribution"

upper

clipping bound

rel.tol

relative tolerance for distrExIntegrate.

lowerTruncQuantile

lower quantile for quantile based integration range.

...

additional arguments to E

Details

The precision of the computations can be controlled via certain global options; cf. distrExOptions.

Value

The first moment of object clipped at upper is computed.

Methods

object = "UnivariateDistribution":

uses call E(object, upp=upper, ...).

object = "AbscontDistribution":

clipped first moment for absolutely continuous univariate distributions which is computed using integrate.

object = "LatticeDistribution":

clipped first moment for discrete univariate distributions which is computed using support and sum.

object = "AffLinDistribution":

clipped first moment for affine linear distributions which is computed on basis of slot X0.

object = "Binom":

clipped first moment for Binomial distributions which is computed using pbinom.

object = "Pois":

clipped first moment for Poisson distributions which is computed using ppois.

object = "Norm":

clipped first moment for normal distributions which is computed using dnorm and pnorm.

object = "Exp":

clipped first moment for exponential distributions which is computed using pexp.

object = "Chisq":

clipped first moment for \chi^2 distributions which is computed using pchisq.

Author(s)

Matthias Kohl [e-mail]

See Also

distrExIntegrate, m2df, E

Examples

# 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)