calculus {estimators}

Distribution Calculus

Description

Distribution Calculus

Usage

## S4 method for signature 'Norm,Norm'
e1 + e2

## S4 method for signature 'numeric,Norm'
e1 + e2

## S4 method for signature 'Norm,numeric'
e1 + e2

## S4 method for signature 'Norm,Norm'
e1 - e2

## S4 method for signature 'numeric,Norm'
e1 - e2

## S4 method for signature 'Norm,numeric'
e1 - e2

## S4 method for signature 'numeric,Norm'
e1 * e2

## S4 method for signature 'Norm,numeric'
e1 * e2

## S4 method for signature 'Norm,numeric'
e1 / e2

## S4 method for signature 'Norm,logical'
sum(x, ..., na.rm = FALSE)

## S4 method for signature 'Norm'
exp(x)

Arguments

x, e1, e2

objects of subclass Distribution.

...

extra arguments.

na.rm

logical. Should missing values be removed?

Value

All calculations return Distribution objects (specifically, objects of a class that is a subclass of Distribution), accordingly to the property at hand.

Examples

# -----------------------------------------------------
# Distribution Calculus Example
# -----------------------------------------------------

library(estimators)

# Normal location - scale transformation
x <- Norm(mean = 2, sd = 3)
y <- 3 * x + 1 # Norm(mean = 7, sd = 9)

# Addition of two independent Normal random variables
x1 <- Norm(mean = 1, sd = 3)
x2 <- Norm(mean = 2, sd = 4)
x3 <- x1 + x2 # Norm(mean = 3, sd = 5)