dCount_allProbs_bi: Compute count probabilities using simple convolution
In GeoBosh/Countr: Flexible Univariate Count Models Based on Renewal Processes

dCount_allProbs_bi

R Documentation

Compute count probabilities using simple convolution

Description

Compute count probabilities using simple convolution (section 2) for the built-in distributions

Compute count probabilities using simple convolution (section 2) for user passed survival functions

Usage

dCount_allProbs_bi(
  x,
  distPars,
  dist,
  nsteps = 100L,
  time = 1,
  extrap = TRUE,
  logFlag = FALSE
)

dCount_allProbs_user(
  x,
  distPars,
  extrapolPars,
  survR,
  nsteps = 100L,
  time = 1,
  extrap = TRUE,
  logFlag = FALSE
)

Arguments

`x`	integer (vector), the desired count values.
`distPars`	`Rcpp::List` with distribution specific slots, see details.
`dist`	character name of the built-in distribution, see details.
`nsteps`	unsiged integer number of steps used to compute the integral.
`time`	double time at wich to compute the probabilities. Set to 1 by default.
`extrap`	logical if `TRUE`, Richardson extrapolation will be applied to improve accuracy.
`logFlag`	logical if `TRUE` the log-probability will be returned.
`extrapolPars`	ma::vec of length 2. The extrapolation values.
`survR`	Rcpp::Function user passed survival function; should have the signature `function(t, distPars)` where `t` is a real number (>0) where the survival function is evaluated and `distPars` is a list of distribution parameters. It should return a double value.

Details

The routine does convolutions to produce probabilities probs(0), ... probs(xmax) using nsteps steps, and refines result by Richardson extrapolation if extrap is TRUE using the algorithm of section 2.