Print Email Facebook Twitter An Algebraic Construction of a Class of One-Dependent Processes Title An Algebraic Construction of a Class of One-Dependent Processes Author Aaronson, J. Gilat, D. Keane, M. De Valk, V. Faculty Electrical Engineering, Mathematics and Computer Science Date 1987-10-01 Abstract 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. Subject Open Access To reference this document use: http://resolver.tudelft.nl/uuid:446d74c0-cf9a-49dd-8288-73b10415cd90 DOI https://doi.org/10.1214/aop/1176991499 Publisher Duke University Press Source Annals of Probability. Volume 17, Number 1 (1989), 128-143. Part of collection Institutional Repository Document type journal article Rights (c) Institute of Mathematical Statistics Files PDF Valkeuclid.pdf 1.01 MB Close viewer /islandora/object/uuid:446d74c0-cf9a-49dd-8288-73b10415cd90/datastream/OBJ/view