연사 : Professor I. V. Basawa (Dept. of Statistics, Univ. of Georgia)

제목 : Inference for Bifurcating Autoregressive Processes

Abstract :
Suppose each individual in one generation produces two individuals in the next generation.
A characterisstic of interest is then measured on each individual.The collection of random variables
then forms a tree-indexed process.The concept of autoregressive processes from time series is used to model the tree-indexed process which is then known as a bifurcationg autoregressive process.
Asymptotic properties of maximum likelihood and least squares estimators are discussed.
Nonstandard models involving count data and exponential innovations are presented and asymptotic inference
problems for these models are discussed.


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