pdensity: Density Function

In exams.forge: Support for Compiling Examination Tasks using the 'exams' Package

Density Function

Description

Creates a linear (power=1) or constant (power=0) density function in a interval

[a, b]

where a and b are sampled from x. It samples size elements without replacement and computes the value of the distribution function.

Usage

pdensity(x, size = 3, power = 1, tol = 1e-06)

sample_density(x, size = 3, power = 1, tol = 1e-06)

Arguments

x	numeric: range of density with a=min(x, na.rm=TRUE) and b=max(x, na.rm=TRUE)
size	numeric: number of elements to be sampled (without replacement) from x
power	numeric: constant or linear density function
tol	numeric: disallow for density coefficients near zero (default: 1e-6). A negative value will permit zero coefficients.

Value

A list with:

• a the minimum of the interval

• i the maximum of the interval

• x the size sampled values

• fx the distribution function at x

• pcoeff a polynomial (intercept = first value)

• qcoeff indefinite integral of the polynomial (intercept = first value)

• pint result of the integral(pcoeff, c(a,b), 0:2)

Examples

pdensity(-5:5)
pdensity(-5:5, power=1)

exams.forge documentation built on Aug. 21, 2025, 5:41 p.m.