pomp (version 0.38-2)

Euler-multinomial models: Euler-multinomial models

Description

Density and random-deviate generation for the Euler-multinomial death process with parameters size, rate, and dt.

Usage

reulermultinom(n = 1, size, rate, dt)
deulermultinom(x, size, rate, dt, log = FALSE)

Arguments

n

integer; number of random variates to generate.

size

scalar integer; number of individuals at risk.

rate

numeric vector of hazard rates.

dt

numeric scalar; duration of Euler step.

x

Matrix or vector containing number of individuals that have succumbed to each death process.

log

logical; if TRUE, return logarithm(s) of probabilities.

Value

• reulermultinom
  Returns a length(rate) by n matrix. Each column is a different random draw. Each row contains the numbers of individuals succumbed to the corresponding process.
• deulermultinom
  Returns a vector (of length equal to the number of columns of x) containing the probabilities of observing each column of x given the specified parameters (size, rate, dt).

Details

Direct access to the underlying C routines is available: see the header file pomp.h, included with the package.

Examples

print(x <- reulermultinom(5,size=100,rate=c(a=1,b=2,c=3),dt=0.1))
deulermultinom(x,size=100,rate=c(1,2,3),dt=0.1)