tukeyMyerson: Density function for Tukey-Myerson distribution (Myerson...

In dmi3kno/qpd: Tools for Quantile-Parametrized Distribiutions

Density function for Tukey-Myerson distribution (Myerson distribution with Tukey lambda base function).

Description

Density function for Tukey-Myerson distribution (Myerson distribution with Tukey lambda base function).

Usage

qtukeyMyerson(
  p,
  q1,
  q2,
  q3,
  alpha = 0.25,
  tlambda = 0,
  lower.tail = TRUE,
  log.p = FALSE
)

ftukeyMyerson(
  p,
  q1,
  q2,
  q3,
  alpha = 0.25,
  tlambda = 0,
  log = FALSE,
  lower.tail = TRUE,
  log.p = FALSE
)

dqtukeyMyerson(
  p,
  q1,
  q2,
  q3,
  alpha = 0.25,
  tlambda = 0,
  log = FALSE,
  lower.tail = TRUE,
  log.p = FALSE
)

rtukeyMyerson(n, q1, q2, q3, alpha = 0.25, tlambda = 0)

ptukeyMyerson(
  q,
  ...,
  lower = 0,
  upper = 1,
  tol = 1e-06,
  silent = TRUE,
  trace = 0
)

Arguments

p	vector of probabilities
q1, q2, q3	numeric values representing bottom quantile, middle quantile (50th percentile) and top quantile. Quantiles are assumed to be symmetrical.
alpha	numerical fixed proportion of distribution below the bottom quantile. Default value is 0.25
tlambda	numerical Tukey lambda lambda parameter
lower.tail	logical; if TRUE (default), probabilities are P[X\leq x], otherwise, P[X > x]
log, log.p	logical; if TRUE, probabilities p are given as log(p)
n	number of observations. If 'length(n)>1“, the length is taken to be the number required.
q	vector of quantiles.
...	used by method
lower, upper	the stats::uniroot lower and upper end points of the interval to be searched. Defaults are 0 and 1, respectively
tol	the stats::uniroot desired accuracy (convergence tolerance). Default value 1e-06
silent	the base::try argument. Default is TRUE
trace	integer number passed to stats::uniroot; if positive, tracing information is produced. Higher values giving more details.

Value

a vector of probabilities of length equal to length(x)

a vector of exceedance probabilities of length equal to length(x).

Examples

qtukeyMyerson(0.25, 10, 20, 40)
flogitMyerson(0.25, 10, 20, 40)
dqlogitMyerson(0.25, 10, 20, 40)
rlogitMyerson(1, 10, 20, 40)
ptukeyMyerson(0.25, 10, 20, 40)

dmi3kno/qpd documentation built on Sept. 29, 2024, 6:39 p.m.