dist_cdf-methods: The cumulative distribution function (cdf)

In poweRlaw: Analysis of Heavy Tailed Distributions

The cumulative distribution function (cdf)

Description

This is a generic function for calculating the cumulative distribution function (cdf) of distribution objects. This is similar to base R's pnorm for the normal distribution. The dist_cdf function calculates the cumulative probability distribution for the current parameters and xmin value.

Usage

dist_cdf(m, q = NULL, lower_tail = FALSE)

## S4 method for signature 'conlnorm'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'conlnorm'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'conexp'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'conexp'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'conpl'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'conpl'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'conweibull'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'conweibull'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'disexp'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'disexp'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'dislnorm'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'dislnorm'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'displ'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'displ'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

## S4 method for signature 'dispois'
dist_cdf(m, q = NULL, lower_tail = TRUE)

## S4 method for signature 'dispois'
dist_all_cdf(m, lower_tail = TRUE, xmax = 1e+05)

Arguments

m	a distribution object.
q	a vector values where the function will be evaluated. If q is NULL (default), then the data values will be used.
lower_tail	logical; if TRUE (default), probabilities are P[X \le x], otherwise, P[X > x].
xmax	default 1e5. The maximum x value calculated when working out the CDF.

Note

This method does not alter the internal state of the distribution objects.

Examples

##########################################
#Load data and create distribution object#
##########################################
data(moby_sample)
m = displ$new(moby_sample)
m$setXmin(7); m$setPars(2)

##########################################
#Calculate the CDF at a particular values#
##########################################
dist_cdf(m, 10:15)

##########################################
#Calculate the CDF at the data values    #
##########################################
dist_cdf(m)

poweRlaw documentation built on May 29, 2024, 10:01 a.m.