joker (version 0.14.2)

calculus: Distributional Calculus

Description

Arithmetic operators and functions for probability distribution objects. These methods define how standard operations like +, -, *, and / behave when applied to random variables, returning the resulting distribution based on known properties of common distribution families.

Usage

# S4 method for Norm,Norm
+(e1, e2)
# S4 method for numeric,Norm
+(e1, e2)
# S4 method for Norm,numeric
+(e1, e2)
# S4 method for Norm,Norm
-(e1, e2)
# S4 method for numeric,Norm
-(e1, e2)
# S4 method for Norm,numeric
-(e1, e2)
# S4 method for numeric,Norm
*(e1, e2)
# S4 method for Norm,numeric
*(e1, e2)
# S4 method for Norm,numeric
/(e1, e2)
# S4 method for Norm,logical
sum(x, ..., na.rm = FALSE)
# S4 method for Norm
exp(x)

Value

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

Arguments

x, e1, e2

objects of subclass Distribution.

...

extra arguments.

na.rm

logical. Should missing values be removed?

Examples

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

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

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