nintegrate {acopula}

Numerical integration

Description

Trapezoidal integration of an arbitrarily dimensional function.

Usage

nintegrate(fun, lower, upper, subdivisions=100, differences=(upper-lower)/subdivisions)

Arguments

fun

function. Arguments can be in sequence or single vector.

lower, upper

numeric (vector). Upper and lower bound of integration. Either one of these or differences should have length of function dimension.

subdivisions

numeric (vector). Number of bins.

differences

numeric. Width of bins.

Value

Numeric.

Author(s)

Tomas Bacigal

See Also

nderive

Examples

##cumulative distribution function of a bivariate normal copula 
##evaluated at point c(0.5,0.6); compare pCopula(c(0.5,0.6),cop=copNormal(),par=0.5)
nintegrate(function(x) dCopula(x,cop=copNormal(),par=0.5), 
  lower=0.001, upper=c(0.5,0.6), subdivisions=20)