Area between a Density Function and a Kernel Estimate

Description

The function area.between is an (internal) function of the GoFKernel package that calculates the area, in a given interval, between a theoretical density function and an empirical kernel estimate. area.between is called by dgeometric.test of the GoFKernel package.

Usage

area.between(f, kernel.density, lower = -Inf, upper = Inf)

Arguments

Details

area.between is called by dgeometric.test and numerically calculates the area between the density function of the null hypothesis and the kernel density estimate of either the observed sample or a simulated sample from f.

Value

A number corresponding to the numerical value of the area between a density function and a kernel estimate.

Author(s)

Jose M. Pavia

See Also

density.reflected, dgeometric.test, inverse random.function, support.facto and density

Examples

## Unbounded example
x <- rnorm(100)
dx <- density(x)
area.between(dnorm, dx)

## Bounded example
x <- rbeta(100, 1.3, 2)
dx <- density.reflected(x, lower=0, upper=1)
area.between(dunif, dx)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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Type 'demo()' for some demos, 'help()' for on-line help, or
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> library(GoFKernel)
Loading required package: KernSmooth
KernSmooth 2.23 loaded
Copyright M. P. Wand 1997-2009
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/GoFKernel/area.between.Rd_%03d_medium.png", width=480, height=480)
> ### Name: area.between
> ### Title: Area between a Density Function and a Kernel Estimate
> ### Aliases: area.between
> ### Keywords: density
> 
> ### ** Examples
> 
> ## Unbounded example
> x <- rnorm(100)
> dx <- density(x)
> area.between(dnorm, dx)
[1] 0.09007288
> 
> ## Bounded example
> x <- rbeta(100, 1.3, 2)
> dx <- density.reflected(x, lower=0, upper=1)
> area.between(dunif, dx)
[1] 0.4146827
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>