Two special models of A R ( n ) processes with time-dependent random parameters

Alena Koubková

Kybernetika (1995)

  • Volume: 31, Issue: 4, page 347-357
  • ISSN: 0023-5954

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Koubková, Alena. "Two special models of $AR(n)$ processes with time-dependent random parameters." Kybernetika 31.4 (1995): 347-357. <http://eudml.org/doc/27836>.

@article{Koubková1995,
author = {Koubková, Alena},
journal = {Kybernetika},
keywords = { series; random coefficient autoregressive series; time series; MA(1) random parameters; second-order stationarity; covariance functions; spectral density; best linear prediction},
language = {eng},
number = {4},
pages = {347-357},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Two special models of $AR(n)$ processes with time-dependent random parameters},
url = {http://eudml.org/doc/27836},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Koubková, Alena
TI - Two special models of $AR(n)$ processes with time-dependent random parameters
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 4
SP - 347
EP - 357
LA - eng
KW - series; random coefficient autoregressive series; time series; MA(1) random parameters; second-order stationarity; covariance functions; spectral density; best linear prediction
UR - http://eudml.org/doc/27836
ER -

References

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  1. J. Anděl, Statistische Analyse von Zeitreihen, Akademie Verlag, Berlin 1984. (1984) MR0762087
  2. J. Anděl, Autoregressive series with random parameters, Math. Operationsforsch. Statist. 7 (1976), 735-741. (1976) MR0428649
  3. A. Brandt, The stochastic equation Y n + 1 = A n Y n + B n with stationary coefficients, Adv. in Appl. Prob. 18 (1986), 211-220. (1986) MR0827336
  4. J. Conlisk, Stability in a random coefficient model, Internat. Econom. Rev. 15 (1974), 529-533. (1974) Zbl0283.60065MR0362801
  5. J. Conlisk, A further note on stability in a random coefficient model, Econom. Rev. 17 (1976), 759-764. (1976) Zbl0361.62092
  6. A. Koubková, First-order autoregressive processes with time-dependent random parameters, Kybernetika 18 (1982), 408-414. (1982) MR0686521
  7. A. Koubková, Časové řady s náhodnými parametry, PҺD Thesis, Praha 1986 (in Czech). (1986) 
  8. A. Koubková, Random coefficient AR(1) process, In: Trans. Tenth Prague Conf. on Inform. Theory, Stat. Dec. Functions and Random Proc, Academia, Prague 1988, pp. 51-58. (1988) MR1136308
  9. D. P. Nicholls, B. G. Quinn, Random coefficient autoregressive models: An introduction, Springer-Verlag, New Үork-Heidelberg-Berlin 1982. (1982) Zbl0497.62081MR0671255
  10. D. Tjøstheim, Some doubly stochastic time series models, J. Time Ser. Anal. 7(1986), 51-72. (1986) MR0832352
  11. A. A. Weiss, The stability of the AR(1) process with an AR(1) coefficients, J. Time Ser. Anal. 6 (1986), 181-186. (1986) MR0816248

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