dsubbo: Returns density from Subbotin Distribution

In Rsubbotools: Fast Estimation of Subbottin and AEP Distributions (Generalized Error Distribution)

Returns density from Subbotin Distribution

Description

The dsubbo returns the density at point x for the Subbotin distribution with parameters a, b, m.

Usage

dsubbo(x, m = 0, a = 1, b = 2)

Arguments

x	(numeric) - value in the range (-\infty, \infty) to evaluate the density.
m	(numeric) - location parameter.
a	(numeric) - scale parameter. Must be in the range (0, \infty).
b	(numeric) - shape parameter. Must be in the range (0, \infty).

Details

The Subbotin distribution is a exponential power distribution controlled by three parameters, with formula:

f(x;a,b,m) = \frac{1}{A} e^{-\frac{1}{b} |\frac{x-m}{a}|^b}

with:

A = 2ab^{1/b}\Gamma(1+1/b)

where a is a scale parameter, b controls the tails (lower values represent fatter tails), and m is a location parameter.

Value

a vector containing the values for the densities.

Rsubbotools documentation built on April 16, 2025, 5:10 p.m.