simulate function

Model Simulation

Simulates paths of a GARCH model.

## S3 method for class 'tsgarch.spec'
simulate(
  object,
  nsim = 1,
  seed = NULL,
  h = 1000,
  var_init = NULL,
  innov = NULL,
  innov_init = NULL,
  vreg = NULL,
  burn = 0,
  ...
)

Arguments

• object: an object of class tsgarch.spec .
• nsim: the number of sample paths to generate.
• seed: an integer that will be used in a call to set.seed before simulating.
• h: the number of time steps to simulate paths for.
• var_init: the seed value for initializing the variance equation recursion. If NULL, the variance target value is used based on the supplied parameters. This should be a vector and assumes all sample paths are seeded the same way.
• innov: an optional matrix of dimensions nsim by h of zero mean unit variance (standardized) innovations which will be used instead of the model distribution for simulation. No checks are performed on whether the supplied values are standardized.
• innov_init: an optional vector of initialization values for the standardized innovations. This allows the seeding of the initial innovations with user supplied values (useful when simulating forward from an existing model for the purpose of continuing the modeled series from some fixed point).
• vreg: an optional vector of length h representing any pre-multiplied variance regressors to use in the simulation.
• burn: burn in. Will be discarded before returning the output.
• ...: for aparch, fgarch, egarch and gjrgarch models, an optional vector of length max(q,p) with values for initializing the ARCH equation and named arch_initial . This is mostly used for validation purposes. The arch_initial value is always returned by an estimated object.

Returns

An object of class tsgarch.simulate with slots for the simulated sigma and series simulated distributions which are each of class tsmodel.distribution . The simulated error (not returned) is equal to the simulated series less the mean equation constant if not equal to zero.

Details

Once a GARCH model is specified via garch_modelspec, the slot parmatrix contains initial values for the parameters which can be used to set them to any value for the simulation. This matrix as well as details of the model (type, order, distribution) are the only pieces of information used in the simulation. The vreg argument in the spec will be ignored. Instead, the user can supply a pre-multiplied vector to the simulate function which will be used. Note that the multiplicative

argument in the specification will be used in this case to determine how the regressors enter the conditional variance equation. While the innov

argument must be a matrix, all other values are vectors and assume that they will be the same across all sample paths. If the user wants to assign different values for arguments var_init , innov_init and vreg , then the simulate method should be called multiple times.