yuima.poisson-class function

Class for the Mathematical Description of Compound Poisson Processes

Class for the Mathematical Description of Compound Poisson Processes

The yuima.poisson class is a class of the yuima package that extends the yuima.model-class. class

Slots

  • drift:: always expression((0)).

  • diffusion:: a list of expression((0)).

  • hurst:: always h=0.5, but ignored for this model.

  • jump.coeff:: set according to scale in setPoisson.

  • measure:: a list containting the intensity measure and the jump distribution.

  • measure.type:: always "CP".

  • state.variable: a vector of names identifying the names used to denote the state variable in the drift and diffusion specifications.

  • parameter:: which is a short name for ``parameters'', is an object of class model.parameter-class. For more details see model.parameter-class documentation page.

  • state.variable:: identifies the state variables in the

     expression.
    
  • jump.variable:: identifies the variable for the jump coefficient.

  • time.variable:: the time variable.

  • noise.number:: denotes the number of sources of noise.

  • equation.number:: denotes the dimension of the stochastic differential equation.

  • dimension:: the dimensions of the parameter given in the parameter slot.

  • solve.variable:: identifies the variable with respect to which the stochastic differential equation has to be solved.

  • xinit:: contains the initial value of the stochastic differential equation.

  • J.flag:: wheather jump.coeff include jump.variable.

Methods

  • simulate: simulation method. For more information see simulate.
  • qmle: Quasi maximum likelihood estimation procedure. For more information see qmle.

Author(s)

The YUIMA Project Team

  • Maintainer: Stefano M. Iacus
  • License: GPL-2
  • Last published: 2025-04-16