Sampling of realizations of the random field formed by the sum of Markov binary processes

Yu A. Goritskiy, V. A. Kazakov, D. Rodriguez, F. Tejeda

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A statistical description of the sampling and reconstruction procedure for the realizations of a random field with jumps and four possible states is given. A realization of such a field is formed by two realizations of binary Markov stochastic processes defined on two coordinate axes. The analysis of the sampling and reconstruction procedure of this field consists of two parts. In the first part, the sampling intervals are chosen based on the given probability of missing a state. In the second part, the points of state change in the realization being reconstructed are estimated, and the variances of these estimates are calculated. These variances characterize the quality of reconstruction. An example illustrating the proposed method is discussed.

Original languageEnglish
Pages (from-to)44-51
Number of pages8
JournalJournal of Computer and Systems Sciences International
Volume56
Issue number1
DOIs
StatePublished - 1 Jan 2017

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