pcnorm: Distribution Function of a Contaminated Normal Distribution

In matheuscastro43/finiteMix: Finite Mixture Models

Distribution Function of a Contaminated Normal Distribution

Description

Gives the distribution function value of a univariate Contaminated Normal Distribution.

Usage

pcnorm(q, pi, mean, sd, gamma, lower.tail = TRUE, log.p = FALSE)

Arguments

q	value or vector to apply on the distribution function.
pi	vector of mixture weights.
mean	value of mixture mean.
sd	value of parameter.
gamma	value of parameter.
lower.tail	logical; if TRUE (default). probabilites are P[X ≤ x], otherwise P[X > x].
log.p	logical; if FALSE (default), probabilities are expected in p, otherwise log[probabilities] are expected.

Author(s)

CASTRO, M. O.; MONTALVO, G. S. A.

Examples

## Distribution Function

## A value
pcnorm(11.3, pi = c(0.1, 0.9), mean = 10, sd = 2, gamma = 3)

## A vector
pcnorm(c(8, 10, 12), pi = c(0.1, 0.9), mean = 10, sd = 2, gamma = 3)


## Survival Function

## A value
pcnorm(8.7, pi = c(0.8, 0.2), mean = 10, sd = 2, gamma = 3, lower.tail = FALSE)

## A vector
pcnorm(c(6.3, 11, 13.7), pi = c(0.1, 0.9), mean = 10, sd = 2, gamma = 3, lower.tail = FALSE)

matheuscastro43/finiteMix documentation built on March 30, 2022, 12:49 p.m.