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Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2209

Title: Maximal Number of Successors in a Nginar(1) Process
Authors: K. Jordanova, Pavlina
K. Mitov, Ivan
Keywords: Markov chains
NGINAR process
Branching processes
Processes of maxima
Stationary sequences
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 109p-120p
Abstract: In this paper we obtain upper and lower bounds for normalized sequences of maxima, associated with a stationary integer-valued autoregressive process of first order with geometricmarginals (NGINAR(1) process). These processes are a special case of AR(1) processes and strictly stationary ergodic Markov chains.
Description: 2000 Mathematics Subject Classification: 60J80, 60J20, 60J10, 60G10, 60G70, 60F99.
URI: http://hdl.handle.net/10525/2209
ISSN: 0204-9805
Appears in Collections:2011 Volume 20

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