Asymptotic estimation theory of multipoint linkage analysis under perfect marker information.

DOI10.1214/aos/1059655906zbMath1041.62088OpenAlexW1493530874MaRDI QIDQ1434005

Ola G. Hössjer

Publication date: 1 July 2004

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

Full work available at URL: https://projecteuclid.org/euclid.aos/1059655906

zbMATH Keywords

crossoverscompound Poisson processlinkage analysisarg max of stochastic processesperfect marker information

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Markov processes: estimation; hidden Markov models (62M05) Genetics and epigenetics (92D10)

Related Items (3)

Spectral decomposition of score functions in linkage analysis ⋮ Modeling the effect of inbreeding among founders in linkage analysis ⋮ Information and effective number of meioses in linkage analysis

Cites Work

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• Cube root asymptotics
• Boundary crossing probabilities and statistical applications
• The asymptotic behavior of some nonparametric change-point estimators
• Distributional convergence of M-estimators under unusual rates
• A score test for linkage using identity by descent data from sibships
• Asymptotic theory for gene mapping.
• Monotone Regression and Density Function Estimation at a Point of Discontinuity
• A Class of Tests for Linkage Using Affected Pedigree Members

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