Bell {bellreg}

Probability function, distribution function, quantile function and random generation for the Bell distribution with parameter theta.

Description

Probability function, distribution function, quantile function and random generation for the Bell distribution with parameter theta.

Usage

dbell(x, theta, log = FALSE)

pbell(q, theta, lower.tail = TRUE, log.p = FALSE)

qbell(p, theta, log.p = FALSE)

rbell(n, theta)

Arguments

x

vector of (non-negative integer) quantiles.

theta

parameter of the Bell distribution (theta > 0).

log, log.p

logical; if TRUE, probabilities p are given as log(p).

q

vector of quantiles.

lower.tail

logical; if TRUE (default), probabilities are P[X \le x]; otherwise, P[X > x].

p

vector of probabilities.

n

number of random values to return.

Details

Probability mass function

f(x) = \frac{\theta^{x} e^{1-e^{\theta}}B_x}{x!},

where B_x is the Bell number, and x = 0, 1, ....

Value

dbell gives the (log) probability function, pbell gives the (log) distribution function, qbell gives the quantile function, and rbell generates random deviates.