qtrunc: Quantile Function

In TruncExpFam: Truncated Exponential Family

Quantile Function

Description

Calculates quantile for a given truncated distribution and probability.

Usage

qtrunc(p, family, ..., lower.tail = TRUE, log.p = FALSE)

qtruncbeta(
  p,
  shape1,
  shape2,
  a = 0,
  b = 1,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncbinom(
  p,
  size,
  prob,
  a = 0,
  b = size,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncchisq(p, df, a = 0, b = Inf, ..., lower.tail = TRUE, log.p = FALSE)

qtrunccontbern(p, lambda, a = 0, b = 1, ..., lower.tail = TRUE, log.p = FALSE)

qtruncexp(p, rate = 1, a = 0, b = Inf, ..., lower.tail = TRUE, log.p = FALSE)

qtruncgamma(
  p,
  shape,
  rate = 1,
  scale = 1/rate,
  a = 0,
  b = Inf,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncinvgamma(
  p,
  shape,
  rate = 1,
  scale = 1/rate,
  a = 0,
  b = Inf,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncinvgauss(p, m, s, a = 0, b = Inf, ..., lower.tail = TRUE, log.p = FALSE)

qtrunclnorm(
  p,
  meanlog = 0,
  sdlog = 1,
  a = 0,
  b = Inf,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncnbinom(
  p,
  size,
  prob,
  mu,
  a = 0,
  b = Inf,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncnorm(
  p,
  mean = 0,
  sd = 1,
  a = -Inf,
  b = Inf,
  ...,
  lower.tail = TRUE,
  log.p = FALSE
)

qtruncpois(p, lambda, a = 0, b = Inf, ..., lower.tail = TRUE, log.p = FALSE)

Arguments

p	vector of quantiles
family	distribution family to use
...	named distribution parameters and/or truncation limits (a, b)
lower.tail	logical; if TRUE, probabilities are P(X <= x) otherwise, P(X > x)
log.p	logical; if TRUE, probabilities p are given as log(p)
shape1	positive shape parameter alpha
shape2	positive shape parameter beta
a	point of left truncation. For discrete distributions, a will be included in the support of the truncated distribution.
b	point of right truncation
size	target for number of successful trials, or dispersion parameter (the shape parameter of the gamma mixing distribution). Must be strictly positive, need not be integer.
prob	probability of success on each trial
df	degrees of freedom for "parent" distribution
lambda	mean and var of "parent" distribution
rate	inverse gamma rate parameter
shape	inverse gamma shape parameter
scale	inverse gamma scale parameter
m	vector of means
s	vector of dispersion parameters
meanlog	mean of untruncated distribution
sdlog	standard deviation of untruncated distribution
mu	alternative parametrization via mean
mean	mean of parent distribution
sd	standard deviation is parent distribution

Value

The quantile of p.

Examples

qtrunc(0.75)
qtrunc(.2, family = "gaussian", mean = 5, sd = 10, b = 7)
qnorm(.2, mean = 5, sd = 10) # for comparison

TruncExpFam documentation built on April 11, 2025, 6:11 p.m.