# LLOGIS: Log-Logistic Distribution In FAdist: Distributions that are Sometimes Used in Hydrology

 LLOGIS R Documentation

## Log-Logistic Distribution

### Description

Density, distribution function, quantile function and random generation for the log-logistic distribution with shape and scale parameters equal to `shape` and `scale`, respectively.

### Usage

```dllog(x,shape=1,scale=1,log=FALSE)
pllog(q,shape=1,scale=1,lower.tail=TRUE,log.p=FALSE)
qllog(p,shape=1,scale=1,lower.tail=TRUE,log.p=FALSE)
rllog(n,shape=1,scale=1)
```

### Arguments

 `x,q` vector of quantiles. `p` vector of probabilities. `n` number of observations. `shape` shape parameter. `scale` scale parameter. `log,log.p` logical; if TRUE, probabilities p are given as log(p). `lower.tail` logical; if TRUE (default), probabilities are P[X <= x],otherwise, P[X > x].

### Details

If Y is a random variable distributed according to a logistic distribution (with location and scale parameters), then X = exp(Y) has a log-logistic distribution with shape and scale parameters corresponding to the scale and location parameteres of Y, respectively.

### Value

`dllog` gives the density, `pllog` gives the distribution function, `qllog` gives the quantile function, and `rllog` generates random deviates.

`dlogis`, `plogis`, `qlogis`, `rlogis`
```x <- rllog(10,1,0)