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Theory & Methods: Inference for the Extended Bifurcating Autoregressive Model for Cell Lineage Studies
Author(s) -
Huggins R.M.,
Basawa I.V.
Publication year - 2000
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.00139
Subject(s) - autoregressive model , mathematics , estimator , inference , maximum likelihood , star model , tree (set theory) , restricted maximum likelihood , econometrics , statistics , combinatorics , time series , computer science , autoregressive integrated moving average , artificial intelligence
Huggins & Basawa (1999) proposed several extensions of the bifurcating autoregressive model used to model cell lineage trees. These models overcame limitations in the original bifurcating autoregressive mode by allowing larger correlations between cousin cells and other cells in the same generation. Huggins & Basawa only considered maximum likelihood inference based on independent trees. This paper examines the asymptotic properties of maximum likelihood estimators based on a single large tree.