An Algebraic Construction of a Class of One-Dependent Processes
Aaronson, Jon ; Gilat, David ; Keane, Michael ; de Valk, Vincent
Ann. Probab., Tome 17 (1989) no. 4, p. 128-143 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
A special class of stationary one-dependent two-valued stochastic processes is defined. We associate to each member of this class two parameter values, whereby different members receive different parameter values. For any given values of the parameters, we show how to determine whether: 1. a process exists having the given parameter values, and if so, 2. this process can be obtained as a two-block factor from an independent process. This determines a two-parameter subfamily of the class of stationary one-dependent two-valued stochastic processes which are not two-block factors of independent processes.
Publié le : 1989-01-14
Classification:  Stationary process,  one-dependence,  $m$-dependence,  block factors,  cylinder functions,  dynamical systems,  60G10,  28D05,  54H20 
@article{1176991499,
     author = {Aaronson, Jon and Gilat, David and Keane, Michael and de Valk, Vincent},
     title = {An Algebraic Construction of a Class of One-Dependent Processes},
     journal = {Ann. Probab.},
     volume = {17},
     number = {4},
     year = {1989},
     pages = { 128-143},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991499}
}

Aaronson, Jon; Gilat, David; Keane, Michael; de Valk, Vincent. An Algebraic Construction of a Class of One-Dependent Processes. Ann. Probab., Tome 17 (1989) no. 4, pp.  128-143. http://gdmltest.u-ga.fr/item/1176991499/