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Robust Inference for the Bivariate Bifurcating Autoregressive Model
Author(s) -
Bui Quang M.,
Huggins Richard M.
Publication year - 1998
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00017
Subject(s) - bivariate analysis , mathematics , autoregressive model , univariate , estimator , statistics , maximum likelihood , econometrics , inference , tree (set theory) , multivariate statistics , combinatorics , computer science , artificial intelligence
Cell lineage data consist of observations on quantitative characteristics of the descendants of an initial cell, recorded as a tree so that the relationships between the cells may be determined. The bifurcating autoregressive model of Cowan & Staudte (1986) has been used previously to model univariate characteristics of cell linkage data. Here we extend this model to analyze bivariate cell data. Both maximum likelihood and robust estimators are derived for both balanced and unbalanced cell lineage trees and are applied to a real dataset to estimate the correlation between cell lifetime and final cell diameter.