Bowater, R. J. and Gómez, D. (2015). Estadística y Ciencia: Investigación Cuantitativa en Diversas Disciplinas (Statistics and Science: Quantitative Research in Diverse Disciplines). Editorial Fontamara, Mexico City. ISBN: 978-607-736-208-1.
To view any particular paper, click on its arXiv number or page range.
Bowater, R. J. (2025). Analogy making as the basis of statistical inference. arXiv.org (Cornell University), Statistics, arXiv:2504.16186. Published: 22-Apr-2025.
Bowater, R. J. (2024). Probabilistic inference when the population space is open. arXiv.org (Cornell University), Statistics, arXiv:2410.12930. Published: 16-Oct-2024.
Bowater, R. J. (2023). The fiducial-Bayes fusion: A general theory of statistical inference. arXiv.org (Cornell University), Statistics, arXiv:2310.01533. Published: 02-Oct-2023.
Bowater, R. J. (2022). Sharp hypotheses and organic fiducial inference. arXiv.org (Cornell University), Statistics, arXiv:2207.08882. First version: 18-July-2022. Current version: 14-Sep-2023.
Bowater, R. J. (2022). Physical, subjective and analogical probability. arXiv.org (Cornell University), Statistics, arXiv:2204.10159. Published: 20-Apr-2022.
Bowater, R. J. (2021). A revision to the theory of organic fiducial inference. arXiv.org (Cornell University), Statistics, arXiv:2111.09279. Published: 17-Nov-2021.
Bowater, R. J. (2021). A very short guide to IOI: a general framework for statistical inference summarised. arXiv.org (Cornell University), Statistics, arXiv:2104.11766. Published: 23-Apr-2021.
Bowater, R. J. (2020). Integrated organic inference (IOI): a reconciliation of statistical paradigms. arXiv.org (Cornell University), Statistics, arXiv:2002.07966. First version: 19-Feb-2020. Current version: 15-Apr-2021 (Final version with corrections).
Bowater, R. J. (2019). Sharp hypotheses and bispatial inference. arXiv.org (Cornell University), Statistics, arXiv:1911.09049. First version: 20-Nov-2019. Current version: 25-Jan-2021 (Final version).
Bowater, R. J. and Guzmán-Pantoja, L. E. (2019). Bayesian, classical and hybrid methods of inference when one parameter value is special. Journal of Applied Statistics, 46, 1417-1437. The authors' version of this paper can be found here.
Bowater, R. J. (2019). Organic fiducial inference. arXiv.org (Cornell University), Statistics, arXiv:1901.08589. First version: 23-Jan-2019. Current version: 08-Apr-2021 (Final version with corrections).
Bowater, R. J. (2018). On a generalised form of subjective probability. arXiv.org (Cornell University), Statistics, arXiv:1810.10972. First version: 25-Oct-2018. Current version: 24-Mar-2022 (Final version with minor corrections).
Bowater, R. J. (2018). Multivariate subjective fiducial inference. arXiv.org (Cornell University), Statistics, arXiv:1804.09804. First version: 25-Apr-2018. Current version: 07-Apr-2021 (Final version with corrections).
Bowater, R. J. (2017). A defence of subjective fiducial inference. AStA Advances in Statistical Analysis, 101, 177-197. The author's version of this paper can be found here.
Bowater, R. J. (2017). A formulation of the concept of probability based on the use of experimental devices. Communications in Statistics: Theory and Methods, 46, 4774-4790. The author's version of this paper can be found here.
Bowater, R. J., Hartley, L. C. and Lilford, R. J. (2015). Are cardiovascular trial results systematically different between North America and Europe? A study based on intra-meta-analysis comparisons. Archives of Cardiovascular Diseases, 108, 23-38.
Bowater, R. J. and Escarela, G. (2013). Heterogeneity and study size in random-effects meta-analysis. Journal of Applied Statistics, 40, 2-16.
Bowater, R. J., Abdelmalik, S. M. E. and Lilford, R. J. (2012). Efficacy of adjuvant chemotherapy after surgery when considered over all cancer types: a synthesis of meta-analyses. Annals of Surgical Oncology, 19, 3343-3350.
Bowater, R. J., Lilford, P. E. and Lilford, R. J. (2011). Estimating changes in overall survival using progression-free survival in metastatic breast and colorectal cancer. International Journal of Technology Assessment in Health Care, 27, 207-214.
Bowater, R. J. and Lilford, R. J. (2011). Clinical effectiveness in cardiovascular trials in relation to the importance to the patient of the end-points measured. Journal of Evaluation in Clinical Practice, 17, 547-553.
Bowater, R. J., Abdelmalik, S. M. E. and Lilford, R. J. (2009). The methodological quality of cluster randomised controlled trials for managing tropical parasitic disease: a review of trials published from 1998 to 2007. Transactions of the Royal Society of Tropical Medicine and Hygiene, 103, 429-436.
Bowater, R. J., Stirling, S.A. and Lilford, R. J. (2009). Is antibiotic prophylaxis in surgery a generally effective intervention? Testing a generic hypothesis over a set of meta-analyses. Annals of Surgery, 249, 551-556.
Bowater, R. J., Bridge, L. J. and Lilford, R. J. (2008). The relationship between progression-free and post-progression survival in treating four types of metastatic cancer. Cancer Letters, 262, 48-53.
Bowater, R. J. (2004). A foundational justification for a weighted likelihood approach to inference (with discussion). International Statistical Review, 72, 307-336.
(Note: I never really thought weighted likelihood inference was a good idea, but I used this paper as a vehicle to discuss the meaning of probability and to attack some important principles that underlie Bayesian theory.)
Bowater, R. J., Copas, J. B., Machado, O. A. and Davis, A. C. (1996). Hearing impairment and the log-normal distribution. Journal of the Royal Statistical Society, Series C (Applied Statistics), 45, 203-217. (Joint main author with J. B. Copas).
Guzmán-Pantoja, L. E. and Bowater, R. J. (2019). A network meta-analysis of the susceptibility of apple genotypes to powdery mildew under organic management. Scientia Horticulturae, 243, 506-513. The authors' version of this paper can be found here.
Hartley, L. C., Girling, A. J., Bowater, R. J. and Lilford, R. J. (2015). A multi-study analysis investigating systematic differences in cardiovascular trial results between Europe and Asia. Journal of Epidemiology and Community Health, 69, 397-404.
Hemming, K., Bowater, R. J. and Lilford, R. J. (2012). Pooling systematic reviews of systematic reviews: a Bayesian panoramic meta-analysis. Statistics in Medicine, 31, 201-216.
Escarela, G., Pérez-Ruíz, L. C. and Bowater, R. J. (2009). A copula-based Markov chain model for the analysis of binary longitudinal data. Journal of Applied Statistics, 36, 647-657.
Escarela, G. and Bowater, R. J. (2008). Fitting a semi-parametric mixture model for competing risks in survival data. Communications in Statistics: Theory and Methods, 37, 277-293.
Stevens, J. L., Green, N. J. L., Bowater, R. J. and Jones, K. C. (2001). Interlaboratory comparison exercise for the analysis of PCDD/Fs in samples of digested sewage sludge. Chemosphere, 45, 1139-1150.