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List of works by Henry Wynn

A prototype for decision support tool to help decision-makers with the strategy of handling the COVID-19 UK epidemic

scientific article published on 29 April 2020

Abstract tubes, improved inclusion-exclusion identities and inequalities and importance sampling

Achieving Robust Design from Computer Simulations

Alexander duality in experimental designs

Algebraic Statistics

scholarly article published 21 December 2000

An Introduction to Dynamical Search

An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint

scholarly article published 2009

Approximate Bayesian Computation Design (ABCD), an Introduction

Assessing nonsuperiority, noninferiority, or equivalence when comparing two regression models over a restricted covariate region.

scientific article published in December 2009

Asymptotic behaviour of a family of gradient algorithms in ℝd and Hilbert spaces

Asymptotically Efficient Estimators for Algebraic Statistical Manifolds

scholarly article by Kei Kobayashi & Henry P. Wynn published 2013 in Lecture Notes in Computer Science

Betti numbers and minimal free resolutions for multi-state system reliability bounds

Betti numbers of polynomial hierarchical models for experimental designs

Bregman divergences based on optimal design criteria and simplicial measures of dispersion

scholarly article

Comments on Computer Experiments

article

Computational algebraic algorithms for the reliability of generalized k-out-of-n and related systems

scholarly article by Eduardo Sáenz-de-Cabezón & Henry P. Wynn published September 2011 in Mathematics and Computers in Simulation

Computational commutative algebra for tight network reliability bounds

scholarly article published 18 September 2013

Computational commutative algebra in discrete statistics

scholarly article by Giovanni Pistone et al published 2001 in Contemporary mathematics

Cyclic majorization and smoothing operators

Design and Analysis of Computer Experiments

article

Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences

scientific article published in November 2001

Dimensional analysis using toric ideals: primitive invariants

scientific article

Extended generalised variances, with applications

Extremal measures maximizing functionals based on simplicial volumes

Gro¨bner basis strategies in regression

Gröbner Basis Methods in Mixture Experiments and Generalisations

Improving on Golden-Section Optimisation for Locally Symmetric Functions

Inclusion-Exclusion-Bonferroni Identities and Inequalities for Discrete Tube-Like Problems via Euler Characteristics

Scientific article; Naiman and Wynn (1992 Ann Statist)

Jack Kiefer's Contributions to Experimental Design

Kantorovich-type inequalities for operators via D-optimal design theory

Lattice-based D -optimum design for Fourier regression

Learning Functions and Approximate Bayesian Computation Design: ABCD

Minimal average degree aberration and the state polytope for experimental designs

Nonlinear Matroid Optimization and Experimental Design

Operability region equivalence: simultaneous confidence bands for the equivalence of two regression models over restricted regions

scientific article

Optimal design for smooth supersaturated models

Polarization and depolarization of monomial ideals with application to multi-state system reliability

scholarly article

Response to James M. Lucas

article

Screening Methods

Screening Methods

Screening, Predicting, and Computer Experiments

article

Self-avoiding generating sequences for Fourier lattice designs

Sensitivity analysis of discrete preference functions using Koszul simplicial complexes

scientific article published on 05 July 2023

Simplicial variances, potentials and Mahalanobis distances

scholarly article

Smooth supersaturated models

Some Convergence Properties of the Steepest Descent Algorithm Revealed by Renormalisation

Statistical analysis via the curvature of data space

The Algebraic Method in Tree Percolation

scholarly article by Fatemeh Mohammadi et al published January 2016 in SIAM Journal on Discrete Mathematics

The application of computational algebraic geometry to the analysis of designed experiments: a case study

scholarly article by Tim Holliday et al published 1999 in Computational Statistics

The chaotic behaviour of search algorithms

scholarly article by Henry P. Wynn & Anatoly A. Zhigljavsky published August 1993 in Acta Applicandae Mathematicae

The theory of construction of optimum experimental designs

doctoral thesis

The theory of search from a statistical viewpoint

The use of lattices in the design of high-dimensional experiments

Types of signature analysis in reliability based on Hilbert series

[Design and Analysis of Computer Experiments]: Rejoinder