A law of large numbers for the bifurcating autoregressive process

DOI10.1080/15326349508807345zbMath0824.60027OpenAlexW2018844238MaRDI QIDQ4835083

Richard M. Huggins

Publication date: 31 October 1995

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349508807345

zbMATH Keywords

maximum likelihood estimatorslaws of large numbersfirst-order autoregressive processbifurcation autoregressive model

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Strong limit theorems (60F15)

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A law of large numbers result for a bifurcating process with an infinite moving average representation ⋮ Local asymptotic normality for bifurcating autoregressive processes and related asymptotic inference ⋮ Robust inference for variance components models for single trees of cell lineage data

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