A note on obtaining the theoretical autocovariances of an ARMA process. (English) Zbl 0505.62080
MSC:
62M10 | Time series, auto-correlation, regression, etc. in statistics (GARCH) |
65C99 | Probabilistic methods, stochastic differential equations |
65F10 | Iterative numerical methods for linear systems |
Keywords:
theoretical autocovariances; likelihood of stationary ARMA process; stable fixed point iteration; vector ARMACitations:
Zbl 0445.62099Software:
AS 154References:
[1] | Ansley C.F., Biometrika 66 pp 59– (1979) · Zbl 0411.62059 · doi:10.1093/biomet/66.1.59 |
[2] | Ansley C.F., Journal of Statistical Computation and Simulation 12 pp 15– (1980) · Zbl 0445.62099 · doi:10.1080/00949658008810423 |
[3] | Gardner G., Applied Statistics 29 pp 311– (1980) · Zbl 0471.62098 · doi:10.2307/2346910 |
[4] | Jones R.H., Technometrics 22 pp 389– (1980) · doi:10.1080/00401706.1980.10486171 |
[5] | Mcleod A.I., Applied Statistics 24 pp 255– (1975) · doi:10.2307/2346573 |
[6] | Nicholls D.F., Journal of Statistical Computation and Simulation 10 pp 251– (1980) · Zbl 0433.62062 · doi:10.1080/00949658008810373 |
[7] | Stewart G.W., Introduction to Matrix Computations (1973) · Zbl 0302.65021 |
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