Simulation and Inference for Stochastic Differential Equations


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Documentation for package ‘sde’ version 2.0.18

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BBridge Brownian motion, Brownian bridge, and geometric Brownian motion simulators
BM Brownian motion, Brownian bridge, and geometric Brownian motion simulators
cpoint Volatility change-point estimator for diffusion processes
DBridge Simulation of diffusion bridge
dcBS Black-Scholes-Merton or geometric Brownian motion process conditional law
dcCIR Conditional law of the Cox-Ingersoll-Ross process
dcElerian Approximated conditional law of a diffusion process by Elerian's method
dcEuler Approximated conditional law of a diffusion process
dcKessler Approximated conditional law of a diffusion process by Kessler's method
dcOU Ornstein-Uhlenbeck or Vasicek process conditional law
dcOzaki Approximated conditional law of a diffusion process by Ozaki's method
dcShoji Approximated conditional law of a diffusion process by the Shoji-Ozaki method
dcSim Pedersen's simulated transition density
dsCIR Cox-Ingersoll-Ross process stationary law
dsOU Ornstein-Uhlenbeck or Vasicek process stationary law
DWJ Weekly closings of the Dow-Jones industrial average
EULERloglik Euler approximation of the likelihood
GBM Brownian motion, Brownian bridge, and geometric Brownian motion simulators
gmm Generalized method of moments estimator
HPloglik Ait-Sahalia Hermite polynomial expansion approximation of the likelihood
ksdens Nonparametric invariant density, drift, and diffusion coefficient estimation
ksdiff Nonparametric invariant density, drift, and diffusion coefficient estimation
ksdrift Nonparametric invariant density, drift, and diffusion coefficient estimation
linear.mart.ef Linear martingale estimating function
MOdist Markov Operator distance for clustering diffusion processes.
pcBS Black-Scholes-Merton or geometric Brownian motion process conditional law
pcCIR Conditional law of the Cox-Ingersoll-Ross process
pcOU Ornstein-Uhlenbeck or Vasicek process conditional law
psCIR Cox-Ingersoll-Ross process stationary law
psOU Ornstein-Uhlenbeck or Vasicek process stationary law
qcBS Black-Scholes-Merton or geometric Brownian motion process conditional law
qcCIR Conditional law of the Cox-Ingersoll-Ross process
qcOU Ornstein-Uhlenbeck or Vasicek process conditional law
qsCIR Cox-Ingersoll-Ross process stationary law
qsOU Ornstein-Uhlenbeck or Vasicek process stationary law
quotes Daily closings of 20 financial time series from 2006-01-03 to 2007-12-31
rcBS Black-Scholes-Merton or geometric Brownian motion process conditional law
rcCIR Conditional law of the Cox-Ingersoll-Ross process
rcOU Ornstein-Uhlenbeck or Vasicek process conditional law
rsCIR Cox-Ingersoll-Ross process stationary law
rsOU Ornstein-Uhlenbeck or Vasicek process stationary law
sde.sim Simulation of stochastic differential equation
sdeAIC Akaike's information criterion for diffusion processes
sdeDiv Phi-Divergences test for diffusion processes
SIMloglik Pedersen's approximation of the likelihood
simple.ef Simple estimating functions of types I and II
simple.ef2 Simple estimating function based on the infinitesimal generator a the diffusion process