otpospoisson: One-truncated Poisson Distribution

In VGAMdata: Data Supporting the 'VGAM' Package

One-truncated Poisson Distribution

Description

Estimating the (single) parameter of the 1-truncated positive Poisson distribution.

Usage

 otpospoisson(llambda = "loglink",
    type.fitted = c("mean", "lambda", "prob0", "prob1"),
    ilambda = NULL, imethod = 1, zero = NULL)

Arguments

llambda, type.fitted, ilambda	Same as pospoisson.
imethod, zero	Same as pospoisson. See CommonVGAMffArguments for information.

Details

The 1-truncated positive Poisson distribution has support on 2, 3, .... It is a Poisson distribution but with the probability of a one or zero being 0. The other probabilities are scaled to add to unity. Some more details can be found at pospoisson. Multiple responses are permitted.

Value

An object of class "vglmff" (see vglmff-class). The object is used by modelling functions such as vglm, and vgam.

Author(s)

T. W. Yee

See Also

Otpospois, oipospoisson, simulate.vlm.

Examples

## Not run: 
odata <- data.frame(y1 = rotpospois(1000, lambda = loglink(1, inv = TRUE)))
ofit <- vglm(y1 ~ 1, otpospoisson, data = odata, trace = TRUE, crit = "c")
coef(ofit, matrix = TRUE)
Coef(ofit)
with(odata,
    hist(y1, prob = TRUE, breaks = seq(0.5, max(y1) + 0.5, by = 1),
         border = "blue"))
x <- seq(1, with(odata, max(y1)), by = 1)
with(odata, lines(x, dotpospois(x, Coef(ofit)[1]), col = "orange",
                  type = "h", lwd = 2)) 
## End(Not run)

VGAMdata documentation built on April 3, 2025, 6:49 p.m.