Parameter estimation in topological analysis of binary tree structures

DOI10.1007/BF02460126zbMath0613.92001OpenAlexW4230914356WikidataQ52610280 ScholiaQ52610280MaRDI QIDQ1820074

André J. Noest, Ronald W. H. Verwer, Jaap van Pelt

Publication date: 1987

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460126

zbMATH Keywords

goodness-of-fitgrowth modelsmaximum likelihood procedureaxonal treesminimum chi-square procedurerandom binary topological trees

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05)

Related Items (5)

Centrifugal-order distributions in binary topological trees ⋮ Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations ⋮ Mathematical foundations of the dendritic growth models ⋮ Hypothesis testing for neural cell growth experiments using a hybrid branching process model ⋮ Topological properties of binary trees grown with order-dependent branching probabilities

Cites Work

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• Growth models (including terminal and segmental branching) for topological binary trees
• Topological properties of binary trees grown with order-dependent branching probabilities
• Minimum chi-square, not maximum likelihood!
• The exact probabilities of branching patterns under terminal and segmental growth hypotheses
• Monte Carlo Confidence Intervals
• The probabilities of rooted tree-shapes generated by random bifurcation

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