add.uncond.mean.one: ENplus, ENminus, Eholdtime, unconditional on ending state.

In DOBAD: Analysis of Discretely Observed Linear Birth-and-Death(-and-Immigration) Markov Chains

Description

ENplus, ENminus, Eholdtime, unconditional on ending state. i.e. sum over j of Eij(Nplus), etc. Expected number of total jumps up/down/holdtime over the given interval, conditional on starting state.

Usage

add.uncond.mean.one(t, X0, lambda, mu, nu, delta = 0.001, r = 4)
rem.uncond.mean.one(t, X0, lambda, mu, nu, delta = 0.001, r = 4)
hold.uncond.mean.one(t, X0, lambda, mu, nu, delta = 0.001, r = 4)

Arguments

t	time
X0	starting state
lambda	birth rate
mu	death rate
nu	immigration rate
delta	paramter for derivative.
r	parameter for derivative.

Details

Uses generating functions.

Value

Each return a numeric.

Author(s)

Charles Doss

DOBAD documentation built on May 2, 2019, 3:04 a.m.