# oilog: One-inflated Logarithmic Distribution Family Function In VGAMdata: Data Supporting the 'VGAM' Package

 oilog R Documentation

## One-inflated Logarithmic Distribution Family Function

### Description

Fits a 1-inflated logarithmic distribution.

### Usage

oilog(lpstr1 = "logitlink", lshape = "logitlink",
type.fitted = c("mean", "shape", "pobs1", "pstr1",
"onempstr1"), ishape = NULL, gpstr1 = ppoints(8), gshape =
ppoints(8), zero = NULL)


### Arguments

 lpstr1, lshape Link functions. For lpstr1: the same idea as zipoisson except it applies to a structural 1. gpstr1, gshape, ishape For initial values. See CommonVGAMffArguments for information. type.fitted, zero See CommonVGAMffArguments for information.

### Details

The 1-inflated logarithmic distribution is a mixture distribution of the logarithmic distribution with some probability of obtaining a (structural) 1. Thus there are two sources for obtaining the value 1. This distribution is written here in a way that retains a similar notation to the one-inflated positive-Poisson, i.e., the probability P[Y=1] involves another parameter \phi. See oipospoisson.

This family function can handle multiple responses.

### Value

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

### Author(s)

Thomas W. Yee

Gaitdlog, Oilog, logff, Oizeta.

### Examples

## Not run:  odata <- data.frame(x2 = runif(nn <- 1000))  # Artificial data
odata <- transform(odata, pstr1 = logitlink(-1 + x2, inv = TRUE),
shape = 0.5)
odata <- transform(odata, y1 = roilog(nn, shape, pstr1 = pstr1))
with(odata, table(y1))
fit1 <- vglm(y1 ~ x2, oilog(zero = "shape"), odata, trace = TRUE)
coef(fit1, matrix = TRUE)

## End(Not run)

VGAMdata documentation built on Sept. 18, 2023, 9:08 a.m.