dCount_allProbs_bi: 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
)

Value

vector of probabilities P(x(i)) for i = 1, ..., n where n is length of x.

Arguments

x: integer (vector), the desired count values.
distPars: Rcpp::List with distribution specific slots, see section ‘Details’.
dist: character name of the built-in distribution, see section ‘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.