# clogis: The Censored Logistic Distribution In crch: Censored Regression with Conditional Heteroscedasticity

 clogis R Documentation

## The Censored Logistic Distribution

### Description

Density, distribution function, quantile function, and random generation for the left and/or right censored logistic distribution.

### Usage

dclogis(x, location = 0, scale = 1, left = -Inf, right = Inf, log = FALSE)

pclogis(q, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)

qclogis(p, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)

rclogis(n, location = 0, scale = 1, left = -Inf, right = Inf)


### Arguments

 x, q vector of quantiles. p vector of probabilities. n number of observations. If length(n) > 1, the length is taken to be the number required. location location parameter. scale scale parameter. left left censoring point. right right censoring point. 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 location or scale are not specified they assume the default values of 0 and 1, respectively. left and right have the defaults -Inf and Inf respectively.

The censored logistic distribution has density f(x):

 \Lambda((left - \mu)/\sigma) if x \le left 1 - \Lambda((right - \mu)/\sigma) if x \ge right \lambda((x - \mu)/\sigma)/\sigma if left < x < right

where \Lambda and \lambda are the cumulative distribution function and probability density function of the standard logistic distribution respectively, \mu is the location of the distribution, and \sigma the scale.

### Value

dclogis gives the density, pclogis gives the distribution function, qclogis gives the quantile function, and rclogis generates random deviates.

dlogis