Uniform distributions in a class of convex polyhedrons with applications to drug combination studies

DOI10.1016/j.jmva.2009.02.011zbMath1165.62042OpenAlexW2092830161MaRDI QIDQ1026371

J. Blot

Publication date: 24 June 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2009.02.011

zbMATH Keywords

tetragonconvex polyhedronuniform distributionstochastic representationuniform designdrug combination study

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Design of statistical experiments (62K99) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Random number generation in numerical analysis (65C10)

Related Items (5)

Compromise design for combination experiment of two drugs ⋮ An economical acceptance-rejection algorithm for uniform random variate generation over constrained simplexes ⋮ Random generation of capacities and its application in comprehensive decision aiding ⋮ Simulation of polyhedral convex contoured distributions ⋮ Conditional Distribution Inverse Method in Generating Uniform Random Vectors Over a Simplex

Cites Work

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• Multivariate Liouville distributions
• Generating random vectors uniformly distributed inside and on the surface of different regions
• The design and analysis of computer experiments.
• Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions
• Generating random points in a polytope
• Random polytopes: Their definition, generation and aggregate properties
• Uniform Design: Theory and Application

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