### Discussion contributions and commissioned material

Battey, H. S. (2024)

D. R. Cox: aspects of scientific inference.

* J. R. Statist. Soc. Ser. A*, 187, 594-605 (invited issue).

Battey, H. S. (2024)

Discussion of `*Parameterizing and simulating from causal models*' by Evans and Didelez.

* J. R. Statist. Soc. Ser. B*, 86, 575-576.

Battey, H. S. (2023)

Inducement of population-level sparsity.

* Canadian J. Statist.*, 51, 760-768.

(*Festschrift for Nancy Reid*)

Battey, H. S. (2023)

D. R. Cox: extracts from a memorial lecture.

* Harvard Data Science Review*, 5 (2).

Battey, H. S. (2022)

D. R. Cox Memorial Lecture.

* JSM Proceedings*, Washington DC, 635-639.

Battey, H. S. (2022)

Discussion of `*Assumption-lean inference for generalised linear model parameters*' by Vansteelandt and Dukes.

* J. R. Statist. Soc. Ser. B*, 84, 696-698.

Battey, H. S. and Reid, N. (2022)

Obituary: David Cox

* IMS Bulletin*, 51 (3), 14-16.

Battey, H. S. and Cox, D. R. (2022)

Aspects of non-standard multivariate analysis.

* J. Multivar. Analysis* (invited issue), 188, 104810.

### A few preprints

Battey, H. S., McCullagh, P. and Xiang, D. (2024)

**Non-standard boundary behaviour in binary mixture models**.

* arXiv:2407.20162*.

Rybak, J., Battey, H. S. and Bharath, K. (2024)

**Regression graphs and sparsity-inducing reparametrisations**.

* arXiv:2402.09112*.

### Peer-reviewed publications

Battey, H. S. (2024)

**Maximal co-ancillarity and maximal co-sufficiency**.

* Information Geometry*, to appear.

Lewis, R. and Battey, H. S. (2024)

Cox reduction and confidence sets of models: a theoretical elucidation.

* Statistical Science*, to appear.

Rybak, J., Battey, H. S. and Zhou, W-X. (2024)

On inference in the implicit probability models of the support vector machine.

* J. Machine Learning Research*, to appear.

Battey, H. S. and Reid, N. (2024)

**On the role of parametrisation in models with a misspecified nuisance component**.

* Proc. Nat. Acad. Sci.*, 121 (36), e2402736121.

Lewis, R. and Battey, H. S. (2024)

**On inference in high-dimensional logistic regression models with separated data**.

* Biometrika*, 111, 989-1011.

Battey, H. S. and McCullagh, P. (2024)

**An anomaly arising in the analysis of processes with more than one source of variability**.

* Biometrika*, 111, 677-689.

Battey, H. S., Cox, D. R. and Lee, S. (2024)

**On partial likelihood and the construction of factorisable transformations**.

* Information Geometry*, 7, 9-28.

Ward, S., Battey, H. S. and Cohen, E.A.K. (2023)

Estimation of the intensity function of a spatial point process on a Riemannian manifold.

* Biometrika*, 110, 1009-1021.

Battey, H. S. and Reid, N. (2023)

**On inference in high-dimensional regression**.

* J. R. Statist. Soc. Ser. B*, 85, 149-175. [matlab implementation]

Battey, H. S. and Cox, D. R. (2023)

Missing observations in regression: a conditional approach.

* Royal Society Open Science*, 10, 220267. [matlab implementation]

Battey, H. S. and Cox, D. R. (2022)

Some perspectives on inference in high dimensions.

* Statistical Science*, 37, 110-122.

Rybak, J. and Battey, H. S. (2021)

Sparsity induced by covariance transformation: some deterministic and probabilistic results.

* Proc. Roy. Soc. Lond. A: Math. Phys. Sci.*, 477, 20200756.

Battey, H. S. (2021)

A note on the analytic approximation of exceedance probabilities in heterogeneous populations.

* Statist. Probab. Lett.*, 179, 109215.

Nieto-Reyes, A. and Battey, H. S. (2021)

A topologically valid construction of depth for functional data.

* J. Multivariate Analysis*, 184, 104738.

Battey, H. S. and Cox, D. R. (2020)

** High-dimensional nuisance parameters: an example from parametric survival analysis. **

* Information Geometry*, 3, 119-148.

Battey, H. S. (2019)

On sparsity scales and covariance matrix transformations.

* Biometrika*, 106, 605-617.

Battey, H. S., Cox, D. R. and Jackson, M. V. (2019)

On the linear in probability model for binary data.

* Royal Society Open Science*, 6, 190067. [matlab implementation]

Hoeltgebaum, H. H. and Battey, H. S. (2019)

HCmodelSets: An R package for specifying sets of well-fitting models in high dimensions.

* The R Journal*, 11, 370-379.

Battey, H. S. and Cox, D. R. (2018)

**Large numbers of explanatory variables: a probabilistic assessment. **

* Proc. Roy. Soc. Lond. A: Math. Phys. Sci.*, 474, 20170631. [software]

Avella, M., Battey, H. S., Fan, J. and Li, Q. (2018)

Robust estimation of high-dimensional covariance and precision matrices.

* Biometrika*, 105, 271-284.

Battey, H. S., Fan, J., Liu, Lu and Zhu, Z. (2018)

Distributed testing and estimation in sparse high dimensional models.

*Ann. Statist.*, 46, 1352-1382.

Cox, D. R. and Battey, H. S. (2017)

**Large numbers of explanatory variables, a semi-descriptive analysis. **

* Proc. Nat. Acad. Sci.*, 114 (32), 8592-8595. [software].

Battey, H. S. (2017)

** Eigen structure of a new class of structured covariance and inverse covariance matrices. **

*Bernoulli*, 23, 3166-3177.

Nieto-Reyes, A. and Battey, H. S. (2016)

** A topologically valid definition of depth for functional data.**

*Statistical Science*, 31 61-79.

Battey, H. S., Feng, Q. and Smith, R. J. (2016)

Improving confidence set estimation when parameters are weakly identified.

*Statist. Probab. Lett.*, 118 117-123.

Battey, H. S. and Linton, O. B. (2014)

Nonparametric estimation of multivariate elliptic densities via finite mixture sieves.

* J. Multivar. Analysis*, 123 43-67.

Battey, H. S. and Sancetta, A. (2013)

Conditional estimation for dependent functional data.

* J. Multivar. Analysis*, 120 1-17.

Beale, N., Rand, D., Battey, H., Croxson, May, R. M., Nowak, M. A. (2011)

Individual versus systemic risk and the Regulator's Dilemma.

* Proc. Nat. Acad. Sci.*, 108 (31) 12647-12652

### Further peer-reviewed publications

I made some relatively small contributions to the following additional papers.

Beale, N., Gunton, R., Bashe, K., Battey, H. S. and MacKay, R. S. (2025).

Dynamics of value-tracking.

* Journal of Dynamics and Games*, 12, 24-47.

Tan, K. M., Battey, H. S. and Zhou, W-X. (2022)

Communication-constrained quantile regression with statistical guarantees.

* J. Machine Learning Research*, 23, 12456-12516.

Castagno, S. and five others including Battey, H. S. (2021)

Seizure outcomes of temporoparietooccipital and frontal disconnection in children with drug-resistant epilepsy.

*Epilepsy Research*, 177, 106769.

Beale, N., Battey, H. S., Davison, A. C. and MacKay, R. S. (2020)

An unethical optimization principle.

* Royal Society Open Science*, 7, 200462.