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yuima: Simulation and Inference for SDEs and Other Stochastic Processes

This R package performs various central statistical analyses such as quasi maximum likelihood estimation, adaptive Bayes estimation, structural change point analysis, hypotheses testing, asynchronous covariance estimation, lead-lag estimation, LASSO model selection, and so on. It also supports stochastic numerical analysis by fast computation of the expected value of functionals of stochastic processes through automatic asymptotic expansion by means of the Malliavin calculus. All models can be multidimensional, multiparametric or non parametric.

Installation

Install the stable release from CRAN:

install.packages("yuima")

For developers

When you add Rcpp or other C code, please always do, within R-devel Console:

tools::package_native_routine_registration_skeleton('yuima',,,FALSE)

take the output and update the file src/yuima_init.c with the above output.

Help

See the help of "package_native_routine_registration_skeleton"

library(tools)
?package_native_routine_registration_skeleton

This page is also of interest.

Acknowledgments

The Project has been funded up to 2010 by the Japan Science Technology (JST) Basic Research Programs PRESTO, Grants-in-Aid for Scientific Research No. 19340021. Presently, the YUIMA Project is supported by the Japan Science and Technology Agency CREST.

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Version

Install

install.packages('yuima')

Monthly Downloads

1,039

Version

1.15.22

License

GPL-2

Maintainer

Stefano M. Iacus

Last Published

December 20th, 2022

Functions in yuima (1.15.22)

Diagnostic.Carma

Diagnostic Carma model
Integrand

Class for the mathematical description of integral of a stochastic process
Integral.sde

Class for the mathematical description of integral of a stochastic process
Diagnostic.Cogarch

Function for checking the statistical properties of the COGARCH(p,q) model
DataPPR

From zoo data to yuima.PPR.
LawMethods

Methods for an object of class yuima.law
MWK151

Graybill - Methuselah Walk - PILO - ITRDB CA535
aeKurtosis

Asymptotic Expansion - Kurtosis
aeDensity

Asymptotic Expansion - Density
aeMarginal

Asymptotic Expansion - Marginals
LogSPX

Five minutes Log SPX prices
adaBayes

Adaptive Bayes estimator for the parameters in sde model
ae

Asymptotic Expansion
aeCharacteristic

Asymptotic Expansion - Characteristic Function
aeExpectation

Asymptotic Expansion - Functionals
aeSd

Asymptotic Expansion - Standard Deviation
aeMean

Asymptotic Expansion - Mean
asymptotic_term

asymptotic expansion of the expected value of the functional
aeSkewness

Asymptotic Expansion - Skewness
aeMoment

Asymptotic Expansion - Moments
bns.test

Barndorff-Nielsen and Shephard's Test for the Presence of Jumps Using Bipower Variation
cce

Nonsynchronous Cumulative Covariance Estimator
carma.info-class

Class for information about CARMA(p,q) model
cce.factor

High-Dimensional Cumulative Covariance Estimator by Factor Modeling and Regularization
cogarch.est.-class

Class for Generalized Method of Moments Estimation for COGARCH(p,q) model
info.PPR

Class for information about Point Process
fitCIR

Calculate preliminary estimator and one-step improvements of a Cox-Ingersoll-Ross diffusion
cogarchNoise

Estimation for the underlying Levy in a COGARCH(p,q) model
get.counting.data

Extract arrival times from an object of class yuima.PPR
lambdaFromData

Intensity of a Point Process Regression Model
cogarch.est.incr-class

Class for Estimation of COGARCH(p,q) model with underlying increments
hyavar

Asymptotic Variance Estimator for the Hayashi-Yoshida estimator
info.Map-class

Class for information about Map/Operators
cogarch.info-class

Class for information about CoGarch(p,q)
gmm

Method of Moments for COGARCH(P,Q).
lasso

Adaptive LASSO estimation for stochastic differential equations
model.parameter-class

Class for the parameter description of stochastic differential equations
lseBayes

Adaptive Bayes estimator for the parameters in sde model by using LSE functions
lm.jumptest

Lee and Mykland's Test for the Presence of Jumps Using Normalized Returns
mllag

Multiple Lead-Lag Detector
llag

Lead Lag Estimator
mmfrac

mmfrac
mpv

Realized Multipower Variation
llag.test

Wild Bootstrap Test for the Absence of Lead-Lag Effects
limiting.gamma

calculate the value of limiting covariance matrices : Gamma
qmle

Calculate quasi-likelihood and ML estimator of least squares estimator
phi.test

Phi-divergence test statistic for stochastic differential equations
param.Map-class

Class for information about Map/Operators
param.Integral

Class for the mathematical description of integral of a stochastic process
noisy.sampling

Noisy Observation Generator
qmleLevy

Gaussian quasi-likelihood estimation for Levy driven SDE
ntv

Volatility Estimation and Jump Test Using Nearest Neighbor Truncation
qgv

qgv
pz.test

Podolskij and Ziggel's Test for the Presence of Jumps Using Power Variation with Perturbed Truncation
rconst

Fictitious rng for the constant random variable used to generate and describe Poisson jumps.
rng

Random numbers and densities
setHawkes

Constructor of Hawkes model
setFunctional

Description of a functional associated with a perturbed stochastic differential equation
setCarma

Continuous Autoregressive Moving Average (p, q) model
setCharacteristic

Set characteristic information and create a `characteristic' object.
poisson.random.sampling

Poisson random sampling method
setLaw

Random variable constructor
setIntegral

Integral of Stochastic Differential Equation
setPoisson

Basic constructor for Compound Poisson processes
setPPR

Point Process
setSampling

Set sampling information and create a `sampling' object.
setYuima

Creates a "yuima" object by combining "model", "data", "sampling", "characteristic" and "functional"slots.
simFunctional

Calculate the value of functional
toLatex

Additional Methods for LaTeX Representations for Yuima objects
setCogarch

Continuous-time GARCH (p,q) process
variable.Integral

Class for the mathematical description of integral of a stochastic process
ybook

R code for the Yuima Book
subsampling

subsampling
setMap

Map of a Stochastic Differential Equation
yuima.Hawkes

Class for a mathematical description of a Point Process
yuima-class

Class for stochastic differential equations
setModel

Basic description of stochastic differential equations (SDE)
setData

Set and access data of an object of type "yuima.data" or "yuima".
simulate

Simulator function for multi-dimensional stochastic processes
simBmllag

Simulation of increments of bivariate Brownian motions with multi-scale lead-lag relationships
yuima.CP.qmle-class

Class for Quasi Maximum Likelihood Estimation of Compound Poisson-based and SDE models
simCIR

Simulation of the Cox-Ingersoll-Ross diffusion
wllag

Scale-by-scale lead-lag estimation
snr

Calculating self-normalized residuals for SDEs.
yuima.Integral-class

Class for the mathematical description of integral of a stochastic process
yuima.PPR

Class for a mathematical description of a Point Process
yuima.Map-class

Class for the mathematical description of function of a stochastic process
yuima.carma.qmle-class

Class for Quasi Maximum Likelihood Estimation of CARMA(p,q) model
spectralcov

Spectral Method for Cumulative Covariance Estimation
Class for Quasi Maximum Likelihood Estimation of Point Process Regression Models

Class for Quasi Maximum Likelihood Estimation of Point Process Regression Models
yuima.model-class

Classes for the mathematical description of stochastic differential equations
yuima.characteristic-class

Classe for stochastic differential equations characteristic scheme
yuima.cogarch-class

Class for the mathematical description of CoGarch(p,q) model
yuima.poisson-class

Class for the mathematical description of Compound Poisson processes
yuima.data-class

Class "yuima.data" for the data slot of a "yuima" class object
yuima.qmleLevy.incr

Class for Quasi Maximum Likelihood Estimation of Levy SDE model
yuima.sampling-class

Classes for stochastic differential equations sampling scheme
yuima.snr-class

Class "yuima.snr" for self-normalized residuals of SDE "yuima" class object
yuima.ae-class

Class for the asymptotic expansion of diffusion processes
yuima.carma-class

Class for the mathematical description of CARMA(p,q) model
yuima.functional-class

Classes for stochastic differential equations data object
yuima.law-class

Class of yuima law
yuima.multimodel-class

Class for the mathematical description of Multi dimensional Jump Diffusion processes
CarmaNoise

Estimation for the underlying Levy in a carma model
JBtest

Remove jumps and calculate the Gaussian quasi-likelihood estimator based on the Jarque-Bera normality test
IC

Information criteria for the stochastic differential equation
Intensity.PPR

Intesity Process for the Point Process Regression Model
CPoint

Volatility structural change point estimator