Oazeta {VGAM} | R Documentation

## One-Altered Logarithmic Distribution

### Description

Density, distribution function, quantile function and random generation for the one-altered zeta distribution with parameter `pobs1`.

### Usage

    doazeta(x, shape, pobs1 = 0, log = FALSE)
    poazeta(q, shape, pobs1 = 0)
    qoazeta(p, shape, pobs1 = 0)
    roazeta(n, shape, pobs1 = 0)

### Arguments

`x, q, n, p` | Same `Unif`.
`shape, log` | Same as `Otzeta`).
`pobs1` | Probability of (an observed) one, called pobs1. The default value of `pobs1 = 0` corresponds to the response having a 1-truncated zeta distribution.

### Details

The probability function of Y is 1 with probability `pobs1`, else a 1-truncated zeta distribution.

### Value

`doazeta` gives the density and `poazeta` gives the distribution function, `qoazeta` gives the quantile function, and `roazeta` generates random deviates.

### Note

The argument `pobs1` is recycled to the required length, and must have values which lie in the interval [0,1].

### Author(s)

T. W. Yee

### See Also

`oazeta`, `Oizeta`, `Otzeta`, `zeta`.

### Examples

    shape <- 1.1; pobs1 <- 0.10; x <- (-1):7
    doazeta(x, shape = shape, pobs1 = pobs1)
    table(roazeta(100, shape = shape, pobs1 = pobs1))

    ## Not run:  x <- 0:10
    barplot(rbind(doazeta(x, shape = shape, pobs1 = pobs1),
                    dzeta(x, shape = shape)),
            beside = TRUE, col = c("blue", "orange"), cex.main = 0.7, las = 1,
            ylab = "Probability", names.arg = as.character(x),
            main = paste("OAZ(shape = ", shape, ", pobs1 = ", pobs1,
                       ") [blue] vs",  " zeta(shape = ", shape,
                       ") [orange] densities", sep = ""))
    ## End(Not run)

[Package VGAM version 1.1-1 Index]