Chernoff, Bhattacharyya, Rényi and Sharma-Mittal Divergence Analysis for Gaussian Stationary ARMA Processes

Author(s):  
Eric Grivel
Keyword(s):  
1995 ◽  
Vol 41 (6) ◽  
pp. 1834-1844 ◽  
Author(s):  
P. Barone ◽  
A. Gigli ◽  
M. Piccioni

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.


Metrika ◽  
2001 ◽  
Vol 54 (2) ◽  
pp. 131-138 ◽  
Author(s):  
M. Shelton Peiris ◽  
A. Thavaneswaran

2002 ◽  
Vol 6 ◽  
pp. 259-270 ◽  
Author(s):  
Christian Francq ◽  
Jean-Michel Zakoïan

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