Prediction intervals and regions for multivariate time series models with sieve bootstrap

Autor

  • Maciej Kawecki
  • Roman Różański
  • Grzegorz Chłapiński
  • Marcin Hławka
  • Krzysztof Jamróz
  • Adam Zagdański

DOI:

https://doi.org/10.19195/0208-4147.38.2.5

Słowa kluczowe:

Multivariate time series models, vector of time series, sieve bootstrap, prediction regions, simultaneous prediction intervals

Abstrakt

In the paper, the construction of unconditional bootstrap prediction intervals and regions for some class of second order stationary multivariate linear time series models is considered. Our approach uses the sieve bootstrap procedure introduced by Kreiss 1992 and Bühlmann 1997. Basic theoretical results concerning consistency of the bootstrap replications and the bootstrap prediction regions are proved. We present a simulation study comparing the proposed bootstrap methods with the Box–Jenkins approach.

Pobrania

Opublikowane

2018-12-28

Numer

Dział

Artykuły [1035]