cdfd: Plot of cumulative distribution function of any discrete...

In leem: Laboratory of Teaching to Statistics and Mathematics

Plot of cumulative distribution function of any discrete variable

Description

Help in building the plot of the cumulative distribution function of any discrete variable

Usage

cdfd(x, fda, main = NULL, xlab = NULL, ylab = NULL)

Arguments

x	numeric vector of values of X. See Details.
fda	numeric vector of F_X(x). See Details.
main	main title for the plot.
xlab	a label for the x axis.
ylab	a label for the y axis.

Details

Consider the X distribution:

p_X(x):	0.23	0.27	0.30	0.12	0.08
x:	1	2	3	4	5

where p_X(x) and x are probability function and values of X. Consider also the X distribution function:

F_X(x) = \left\{\begin{array}{ll} 0, & \textrm{if } x < 1;\\ 0.23, & \textrm{if } 1 \leq x < 2;\\ 0.50, & \textrm{if } 2 \leq x < 3;\\ 0.80, & \textrm{if } 3 \leq x < 4;\\ 0.92, & \textrm{if } 4 \leq x < 5;\\ 1.00 & \textrm{if } x \geq 5.\\ \end{array}\right.

This way, the cdfd function needs to consider only the vectors x <- 1:5 and fda <- c(0.23, 0.50, 0.80, 0.92, 1), that is, only the equality conditions for x. See Example 1.

Value

The output is plot of distribution function. See Example 1.

Examples

# Example 1
x <- 1:5
fda <- c(0.23, 0.5, 0.8, 0.92, 1)
cdfd(x, fda)

leem documentation built on April 3, 2025, 6:04 p.m.