VGAMdata (version 1.1-6)

Otpospois: One-truncated Positive-Poisson Distribution

Description

Density, distribution function, quantile function, and random generation for the one-truncated positive-Poisson distribution.

Usage

dotpospois(x, lambda, log = FALSE)
potpospois(q, lambda, log.p = FALSE)
qotpospois(p, lambda)
rotpospois(n, lambda)

Value

dotpospois gives the density,

potpospois gives the distribution function,

qotpospois gives the quantile function, and

rotpospois generates random deviates.

Arguments

x, q, p, n

Same as Pospois.

lambda, log, log.p

Same as Pospois.

Author

T. W. Yee

Details

The one-truncated positive-Poisson is a Poisson distribution but with the probability of a one and a zero being 0. That is, its support is 2, 3, .... The other probabilities are scaled to add to unity. Some more details are given in pospoisson.

See Also

otpospoisson, Pospois, Oipospois.

Examples

dotpospois(1:20, 0.5)
rotpospois(20, 0.5)

if (FALSE)  lambda <- 4; x <- 1:10
plot(x, dotpospois(x, lambda = lambda), type = "h", ylim = 0:1,
     sub = "lambda=4", las = 1, col = "blue", ylab = "Probability",
     main = "1-truncated positive-Poisson distribution: blue=PMF; orange=CDF")
lines(x + 0.1, potpospois(x, lambda = lambda), col = "orange", lty = 3, type = "h")