dmodifiedCount_bi {Countr}

Compute count probabilities based on modified renewal process (bi)

Description

Compute count probabilities based on modified renewal process using dePril algorithm. dmodifiedCount_bi does it for the builtin distributions.

dmodifiedCount_user does the same for a user specified distribution.

Usage

dmodifiedCount_bi(
  x,
  distPars,
  dist,
  distPars0,
  dist0,
  nsteps = 100L,
  time = 1,
  extrap = TRUE,
  cdfout = FALSE,
  logFlag = FALSE
)

dmodifiedCount_user(
  x,
  distPars,
  survR,
  distPars0,
  survR0,
  extrapolPars,
  nsteps = 100L,
  time = 1,
  extrap = TRUE,
  cdfout = FALSE,
  logFlag = FALSE
)

Arguments

x

integer (vector), the desired count values.

distPars0, distPars

Rcpp::List with distribution specific slots for the first arrival and the rest of the process respectively.

dist0, dist

character, name of the first and following survival distributions.

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.

cdfout

TODO

logFlag

logical if TRUE the log-probability will be returned.

survR0, survR

user supplied survival function; should have signature function(t, distPars), where t is a positive real number (the time at which the survival function is evaluated) and distPars is a list of distribution parameters. It should return a double value (first arrival and following arrivals respectively).

extrapolPars

list of same length as x, where each slot is a vector of length 2 (the extrapolation values to be used) corresponding to x[i].

Details

For the modified renewal process the first arrival is allowed to have a different distribution from the time between subsequent arrivals. The renewal assumption is kept.

Value

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