Density, distribution function, quantile function, and random generation for the left and/or right censored normal distribution.
dcnorm(x, mean = 0, sd = 1, left = -Inf, right = Inf, log = FALSE)pcnorm(q, mean = 0, sd = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
rcnorm(n, mean = 0, sd = 1, left = -Inf, right = Inf)
qcnorm(p, mean = 0, sd = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
dcnorm gives the density, pcnorm gives the distribution
function, qcnorm gives the quantile function, and rcnorm
generates random deviates.
vector of quantiles.
vector of probabilities.
number of observations. If length(n) > 1, the length is
taken to be the number required.
vector of means.
vector of standard deviations.
left censoring point.
right censoring point.
logical; if TRUE, probabilities p are given as log(p).
logical; if TRUE (default), probabilities are P[X <= x] otherwise, P[X > x].
If mean or sd 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 normal distribution has density \(f(x)\):
| \(\Phi((left - \mu)/\sigma)\) | if \(x \le left\) |
| \(1 - \Phi((right - \mu)/\sigma)\) | if \(x \ge right\) |
| \(\phi((x - \mu)/\sigma)/\sigma\) | if \(left < x < right\) |
where \(\Phi\) and \(\phi\) are the cumulative distribution function and probability density function of the standard normal distribution respectively, \(\mu\) is the mean of the distribution, and \(\sigma\) the standard deviation.