Search Results - "Battey, H. S"
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On the linear in probability model for binary data
Published in Royal Society open science (01-05-2019)“…The analysis of binary response data commonly uses models linear in the logistic transform of probabilities. This paper considers some of the advantages and…”
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Missing observations in regression: a conditional approach
Published in Royal Society open science (08-02-2023)“…This note presents an alternative to multiple imputation and other approaches to regression analysis in the presence of missing covariate data. Our…”
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D. R. Cox: aspects of scientific inference
Published in Journal of the Royal Statistical Society. Series A, Statistics in society (12-09-2024)“…Abstract The year 2022 marked 100 years since R. A. Fisher’s landmark paper on the foundations of statistics, and 50 years since D. R. Cox’s seminal work on…”
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An anomaly arising in the analysis of processes with more than one source of variability
Published in Biometrika (13-05-2024)“…Summary It is frequently observed in practice that the Wald statistic gives a poor assessment of the statistical significance of a variance component. This…”
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On sparsity scales and covariance matrix transformations
Published in Biometrika (01-09-2019)“…Summary We develop a theory of covariance and concentration matrix estimation on any given or estimated sparsity scale when the matrix dimension is larger than…”
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On inference in high-dimensional logistic regression models with separated data
Published in Biometrika (01-09-2024)“…Summary Direct use of the likelihood function typically produces severely biased estimates when the dimension of the parameter vector is large relative to the…”
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Large numbers of explanatory variables, a semi-descriptive analysis
Published in Proceedings of the National Academy of Sciences - PNAS (08-08-2017)“…Data with a relatively small number of study individuals and a very large number of potential explanatory features arise particularly, but by no means only, in…”
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Some Perspectives on Inference in High Dimensions
Published in Statistical science (01-02-2022)“…With very large amounts of data, important aspects of statistical analysis may appear largely descriptive in that the role of probability sometimes seems…”
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Nonparametric estimation of the intensity function of a spatial point process on a Riemannian manifold
Published in Biometrika (01-12-2023)“…Summary This paper is concerned with nonparametric estimation of the intensity function of a point process on a Riemannian manifold. It provides a first-order…”
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10
Large numbers of explanatory variables: a probabilistic assessment
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-07-2018)“…Recently, Cox and Battey (2017 Proc. Natl Acad. Sci. USA 114, 8592–8595 (doi:10.1073/pnas.1703764114)) outlined a procedure for regression analysis when there…”
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On partial likelihood and the construction of factorisable transformations
Published in Information geometry (2024)“…Models whose associated likelihood functions fruitfully factorise are an important minority allowing elimination of nuisance parameters via partial likelihood,…”
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12
Maximal co-ancillarity and maximal co-sufficiency
Published in Information geometry (17-09-2024)“…Abstract The purpose of this exposition is to provide some new perspectives on conditional inference through a notional idealised separation within the minimal…”
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A note on the analytic approximation of exceedance probabilities in heterogeneous populations
Published in Statistics & probability letters (01-12-2021)“…This note derives analytic approximations to exceedance probabilities for order statistics from two heterogeneous populations. A limitation of this approach is…”
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14
Large numbers of explanatory variables: a probabilistic assessment
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (31-07-2018)“…Recently, Cox and Battey (2017 Proc. Natl Acad. Sci. USA 114, 8592–8595 (doi:10.1073/pnas.1703764114)) outlined a procedure for regression analysis when there…”
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Some aspects of non-standard multivariate analysis
Published in Journal of multivariate analysis (01-03-2022)“…A broad review is given of some areas of multivariate analysis that are not frequently emphasized. We start with situations in which underlying distributions…”
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High dimensional nuisance parameters: an example from parametric survival analysis
Published in Information geometry (01-12-2020)“…Parametric statistical problems involving both large amounts of data and models with many parameters raise issues that are explicitly or implicitly…”
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Cox reduction and confidence sets of models: a theoretical elucidation
Published 24-02-2023“…For sparse high-dimensional regression problems, Cox and Battey [1, 9] emphasised the need for confidence sets of models: an enumeration of those small sets of…”
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