Title of article
Branching Markov processes and related asymptotics
Author/Authors
Hwang، نويسنده , , S.Y. and Basawa، نويسنده , , I.V.، نويسنده ,
Issue Information
دوفصلنامه با شماره پیاپی سال 2009
Pages
13
From page
1155
To page
1167
Abstract
Models for Markov processes indexed by a branching process are presented. The new class of models is referred to as the branching Markov process (BMP). The law of large numbers and a central limit theorem for the BMP are established. Bifurcating autoregressive processes (BAR) are special cases of the general BMP model discussed in the paper. Applications to parameter estimation are also presented.
Keywords
primary62P10 , secondary62M99 , branching processes , Law of large numbers , Central Limit Theorem , Conditional exponential family , Quasilikelihood and maximum likelihood estimation , least squares , Markov processes
Journal title
Journal of Multivariate Analysis
Serial Year
2009
Journal title
Journal of Multivariate Analysis
Record number
1565055
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