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sde (version 2.0.18)

dcEuler: Approximated conditional law of a diffusion process

Description

Approximated conditional densities for \(X(t) | X(t_0) = x_0\) of a diffusion process.

Usage

dcEuler(x, t, x0, t0, theta, d, s, log=FALSE)

Value

x

a numeric vector

Arguments

x

vector of quantiles.

t

lag or time.

x0

the value of the process at time t0; see details.

t0

initial time.

theta

parameter of the process; see details.

log

logical; if TRUE, probabilities \(p\) are given as \(\log(p)\).

d

drift coefficient as a function; see details.

s

diffusion coefficient as a function; see details.

Author

Stefano Maria Iacus

Details

This function returns the value of the conditional density of \(X(t) | X(t_0) = x_0\) at point x.

The functions d and s must be functions of t, x, and theta.