scholarly journals HAC estimation and strong linearity testing in weak ARMA models

2007 ◽  
Vol 98 (1) ◽  
pp. 114-144 ◽  
Author(s):  
Christian Francq ◽  
Jean-Michel Zakoïan
Author(s):  
Alessandro José Queiroz Sarnaglia ◽  
Valdério Anselmo Reisen ◽  
Pascal Bondon ◽  
Céline Lévy-Leduc

Measurement ◽  
1987 ◽  
Vol 5 (3) ◽  
pp. 102-106 ◽  
Author(s):  
Xin Tian ◽  
Zhong Tan
Keyword(s):  

1988 ◽  
Vol 20 (4) ◽  
pp. 822-835 ◽  
Author(s):  
Ed Mckenzie

A family of models for discrete-time processes with Poisson marginal distributions is developed and investigated. They have the same correlation structure as the linear ARMA processes. The joint distribution of n consecutive observations in such a process is derived and its properties discussed. In particular, time-reversibility and asymptotic behaviour are considered in detail. A vector autoregressive process is constructed and the behaviour of its components, which are Poisson ARMA processes, is considered. In particular, the two-dimensional case is discussed in detail.


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