COM_Poisson_Distribution: The Conway-Maxwell-Poisson (COM-Poisson) Distribution.

In thomas-fung/mpcmp: Mean-Parametrized Conway-Maxwell Poisson (COM-Poisson) Regression

The Conway-Maxwell-Poisson (COM-Poisson) Distribution.

Description

Density, distribution function, quantile function and random generation for the Conway-Maxwell-Poisson distribution with parameter mu and nu

Usage

dcomp(
  x,
  mu,
  nu = 1,
  lambda,
  log.p = FALSE,
  lambdalb = 1e-10,
  lambdaub = 1000,
  maxlambdaiter = 1000,
  tol = 1e-06,
  summax
)

pcomp(
  q,
  mu,
  nu = 1,
  lambda,
  lower.tail = TRUE,
  log.p = FALSE,
  lambdalb = 1e-10,
  lambdaub = 1000,
  maxlambdaiter = 1000,
  tol = 1e-06,
  summax
)

qcomp(
  p,
  mu,
  nu = 1,
  lambda,
  lower.tail = TRUE,
  log.p = FALSE,
  lambdalb = 1e-10,
  lambdaub = 1000,
  maxlambdaiter = 1000,
  tol = 1e-06,
  summax
)

rcomp(
  n,
  mu,
  nu = 1,
  lambda,
  lambdalb = 1e-10,
  lambdaub = 1000,
  maxlambdaiter = 1000,
  tol = 1e-06,
  summax
)

Arguments

x, q	vector of quantiles
mu, nu	mean and dispersion parameters. Must be strictly positive.
lambda	an alternative way than mu to parametrized the distribution. Must be strictly positive
log.p	logical; if TRUE, probabilities/densities p are returned as log(p).
lambdalb, lambdaub	numeric: the lower and upper end points for the interval to be searched for lambda(s).
maxlambdaiter	numeric: the maximum number of iterations allowed to solve for lambda(s).
tol	numeric: the convergence threshold. A lambda is said to satisfy the mean constraint if the absolute difference between the calculated mean and mu is less than tol.
summax	numeric; maximum number of terms to be considered in the truncated sum.
lower.tail	logical; if TRUE (default), probabilities are P(X ≤ x), otherwise, P(X>x).
p	vector of probabilities
n	number of observations. If length(n) > 1, the length is taken to be the number required.

Value

dcomp gives the density, pcomp gives the distribution function, qcomp gives the quantile function, and rcomp generates random deviates.

Invalid arguments will result in return value NaN, with a warning.

The length of the results is determined by n for rcomp, and is the maximum of the lengths of the numerical arguments for the other functions.

The numerical arguments other than n are recycled to the length of the results. Only the first argument of the logical arguments are used.

Examples

dcomp(0:5, mu = 2, nu = 1.2)
pcomp(5, mu = 2, nu = 1.2)
p <- (1:9) / 10
qcomp(p, mu = 2, nu = 0.8)
rcomp(10, mu = 2, nu = 0.7)

thomas-fung/mpcmp documentation built on June 13, 2022, 6:20 p.m.