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

DOI10.1214/aos/1032526961zbMath0865.62016OpenAlexW2055175982MaRDI QIDQ1816977

Richard M. Huggins

Publication date: 29 January 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1032526961

zbMATH Keywords

variance componentsrobust estimatorsestimating functionscell lineage datainfinite sequence of exchangeable random variablessingle treestationary bifurcating autoregressive process

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Robustness and adaptive procedures (parametric inference) (62F35) Inference from stochastic processes (62M99) Analysis of variance and covariance (ANOVA) (62J10) Exchangeability for stochastic processes (60G09)

Related Items (7)

Statistical study of asymmetry in cell lineage data ⋮ On the Asymptotic Distribution of a Weighted Least Absolute Deviation Estimate for a Bifurcating Autoregressive Process ⋮ On the indentifiability of measurement error in the bifurcating autoregressive model ⋮ Inference for the random coefficients bifurcating autoregressive model for cell lineage studies ⋮ A law of large numbers result for a bifurcating process with an infinite moving average representation ⋮ Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging ⋮ Minimum Hellinger distance estimation for supercritical Galton-Watson processes

Cites Work

• On conditional least squares estimation for stochastic processes
• Asymptotic properties of maximum likelihood estimates in the mixed model of the analysis of variance
• On the indentifiability of measurement error in the bifurcating autoregressive model
• Maximum-Likelihood Estimation of Parameters Subject to Restraints
• The Bifurcating Autoregression Model in Cell Lineage Studies
• ROBUST ANALYSIS OF THE BIFURCATING AUTOREGRESSIVE MODEL IN CELL LINEAGE STUDIES
• ROBUST ESTIMATION FOR EPIDEMIC MODELS
• The Asymptotic Distribution of the Likelihood Ratio in Some Nonstandard Cases
• Variance Components Models for Dependent Cell Populations
• A law of large numbers for the bifurcating autoregressive process
• Asymptotic Properties of Maximum Likelihood Estimators in Some Nonstandard Cases, II
• On random sequences with spherical symmetry
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