2 edition of One-dependent processes found in the catalog.
V. de Valk
Includes bibliographical references and indexes.
|Statement||V. de Valk.|
|Series||CWI tract -- 85., CWI tract -- 85.|
|The Physical Object|
|Pagination||178 p. :|
|Number of Pages||178|
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Additional Physical Format: Online version: Valk, V. de (Vincent de). One-dependent processes. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, © 4.
One-dependent processes 5. PBW-algebras and two-block-factor processes 6. Operations on one-dependent processes 7. Hilbert space representations of one-dependent processes 8.
Hilbert series of one-dependent processes 9. Hermitian construction of one-dependent processes Modules over one-dependent processes In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes.
The book can be used by graduate students and researchers working in algebra and any of. 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 Author: Avi Levy.
Some one-dependent continuous-time processes turn out to have independently and identically distributed cycle lengths, when looked at appropriately. The authors briefly discuss some recent work on this as well as briefly illustrate the connection between regenerative processes and the method of renovation found in the Russian by: A recent delightful paper on one-dependent determinantal processes is Borodin et al.
Besides many examples from combinatorics to graph theory, it contains the important result that any one-dependent point process on the integers is determinantal. Motivated by the study of queues in continuous time, a “one-dependent” regenerative process is defined and its ergodic properties are given.
We show that a continuous time Harris recurrent Markov process (HRMP) is of this type and give a different proof of the ergodic properties of HRMP's based on this fact. We next introduce the new notion of a marked point process (mpp) governed by a.
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