Least-squares estimation and ANOVA for periodic autoregressive time series

2004 ◽  
Vol 69 (3) ◽  
pp. 287-297 ◽  
Author(s):  
Q. Shao ◽  
P.P. Ni
1988 ◽  
Vol 7 (4) ◽  
pp. 261-267 ◽  
Author(s):  
Mun Son ◽  
Hosny Hamdy ◽  
Mohammad Almahmeed ◽  
Bruce Sindahl

2017 ◽  
Vol 21 ◽  
pp. 394-411
Author(s):  
Gabriela Ciołek ◽  
Paweł Potorski

The main objective of this paper is to establish the residual and the wild bootstrap procedures for periodically autoregressive models. We use the least squares estimators of model’s parameters and generate their bootstrap equivalents. We prove that the bootstrap procedures for causal periodic autoregressive time series with finite fourth moments are weakly consistent. Finally, we confirm our theoretical considerations by simulations.


2021 ◽  
Vol 12 (3) ◽  
pp. 247-256
Author(s):  
Bao-Hang Wang ◽  
Chao-Ying Zhao ◽  
Qin Zhang ◽  
Li-Quan Chen ◽  
Heng-Yi Chen

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