The Annals of Statistics

Robust inference for variance components models for single trees of cell lineage data

R. M. Huggins

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Abstract

Previously, Huggins and Staudte examined robust estimators for a variance components formulation of the bifurcating autoregressive model for cell lineage data. They gave asymptotic properties of the estimators if a large number of trees were observed. However, for single trees the derivation of these asymptotic properties is more complex. Here the asymptotic distributions of robust estimators of parameters associated with the stationary bifurcating autoregressive process as a single tree becomes large are obtained. These results follow from the formulation of the estimating functions as the product of a nonrandom matrix and the sum of vectors of functions of an infinite sequence of exchangeable random variables.

Article information

Source
Ann. Statist., Volume 24, Number 3 (1996), 1145-1160.

Dates
First available in Project Euclid: 20 September 2002

Permanent link to this document
https://projecteuclid.org/euclid.aos/1032526961

Digital Object Identifier
doi:10.1214/aos/1032526961

Mathematical Reviews number (MathSciNet)
MR1401842

Zentralblatt MATH identifier
0865.62016

Subjects
Primary: 62F35: Robustness and adaptive procedures
Secondary: 62F12: Asymptotic properties of estimators 62M99: None of the above, but in this section

Keywords
Robust estimation asymptotic inference variance components cell lineage data

Citation

Huggins, R. M. Robust inference for variance components models for single trees of cell lineage data. Ann. Statist. 24 (1996), no. 3, 1145--1160. doi:10.1214/aos/1032526961. https://projecteuclid.org/euclid.aos/1032526961


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