Volume 17, Issue 4

RECURSIVE COMPUTATION OF THE PARAMETERS OF PERIODIC AUTOREGRESSIVE MOVING‐AVERAGE PROCESSES

Georgi N. Boshnakov

Institute of Mathematics, Bulgarian Academy of Sciences

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First published: July 1996
Citations: 11

Abstract

Abstract. An algorithm for recursive computation of the parameters of periodic autoregressive moving‐average (ARMA) processes is given. It also provides recursions for stationary multivariate ARMA processes. A procedure for simultaneous estimation of the order and the parameters of a periodic ARMA process is outlined.

Number of times cited according to CrossRef: 11

  • Bibliography, Cyclostationary Processes and Time Series, 10.1016/B978-0-08-102708-0.00034-0, (525-586), (2020).
  • Selected topics and applications, Cyclostationary Processes and Time Series, 10.1016/B978-0-08-102708-0.00021-2, (355-365), (2020).
  • On the estimation problem of periodic autoregressive time series: symmetric and asymmetric innovations, Journal of Statistical Computation and Simulation, 10.1080/00949655.2018.1535599, (1-27), (2018).
  • On Markov-switching periodic ARMA models , Communications in Statistics - Theory and Methods, 10.1080/03610926.2017.1303734, 47, 2, (344-364), (2017).
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  • Asymptotic results for Fourier‐PARMA time series, Journal of Time Series Analysis, 10.1111/j.1467-9892.2010.00689.x, 32, 2, (157-174), (2010).
  • Calculating the autocovariances and the likelihood for periodic V ARMA models, Journal of Statistical Computation and Simulation, 10.1080/00949650701692291, 79, 3, (227-239), (2009).
  • Predictive Density Order Selection of Periodic AR Models, Communications in Statistics - Simulation and Computation, 10.1080/03610910701877579, 37, 6, (1167-1182), (2008).
  • An On-Line Estimation Algorithm for Periodic Autoregressive Models, Communications in Statistics - Theory and Methods, 10.1080/03610920600637354, 35, 8, (1495-1512), (2006).
  • Cyclostationarity: Half a century of research, Signal Processing, 10.1016/j.sigpro.2005.06.016, 86, 4, (639-697), (2006).
  • Computation and Characterization of Autocorrelations and Partial Autocorrelations in Periodic ARMA Models, Journal of Time Series Analysis, 10.1111/j.1467-9892.2004.00356.x, 25, 3, (359-372), (2004).

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