The exact probabilities of branching patterns under terminal and segmental growth hypotheses

DOI10.1007/BF02462361zbMath0505.92004OpenAlexW4233851119WikidataQ41608825 ScholiaQ41608825MaRDI QIDQ1836603

Ronald W. H. Verwer, Jaap van Pelt

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02462361

zbMATH Keywords

branching of dendritic arborizationsexact probabilities of branching patternsKolmogorov goodness-of- fit testsegmental growthterminal growth

Mathematics Subject Classification ID

Applications of statistics (62P99) Graph theory (05C99) General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05)

Related Items (15)

Conservative trees have universal segment measure distributions ⋮ A note on the Horton-Strahler number for random binary search trees ⋮ Sequential and synchronous growth models related to vertex analysis and branching ratios ⋮ Centrifugal-order distributions in binary topological trees ⋮ Stochastic continuous time neurite branching models with tree and segment dependent rates ⋮ Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations ⋮ Mathematical foundations of the dendritic growth models ⋮ Tree asymmetry -- a sensitive and practical measure for binary topological trees ⋮ Parameter estimation in topological analysis of binary tree structures ⋮ A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes ⋮ The exact probabilities of branching patterns under terminal and segmental growth hypotheses ⋮ Cut trees in the topological analysis of branching patterns ⋮ Topological analysis of binary tree structures when occasional multifurcations occur ⋮ Growth models (including terminal and segmental branching) for topological binary trees ⋮ Topological properties of binary trees grown with order-dependent branching probabilities

Cites Work

• The exact probabilities of branching patterns under terminal and segmental growth hypotheses
• Goodness-of-Fit Tests for Discrete Data: A Review and an Application to a Health Impairment Scale
• The probabilities of rooted tree-shapes generated by random bifurcation
• A Kolmogorov Goodness-of-Fit Test for Discontinuous Distributions

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