Research

My research mainly considers aspects of Distribution Theory and Directional Statistics. The book and various of the papers identified below deal with Circular Statistics, a branch of the wider field of Directional Statistics. The focus of much of my recent research has been the identification of tractable and flexible models capable of describing those features (such as varying degrees of asymmetry and kurtosis) often exhibited by real data as well as the development of methods of statistical inference for them. 

If you are researching in the field of Directional Statistics you may find this LaTeX bib file, with over 1700 bibliographical references, a useful resource: DirectionalStats.bib

Researcher ID L-5760-2014

h index amongst Spanish Statistics & Probability researchers h index ranking

Google Scholar Citations

Book Chapters

In fulfillment of the signed copyright agreement, the link below takes you to the version of the chapter prior to the production of its proofs. The PV link takes you to the publisher's website where the final published version of the chapter is available.

Pewsey, A. (2006) Some observations on a simple means of generating skew distributions. In Advances in Distribution Theory, Order Statistics and Inference (Eds. N. Balakrishnan, E. Castillo & J.M. Sarabia). Birkhäuser: Boston Massachusetts, pp. 75-84. PV

Pewsey, A. (2018) Applied Directional Statistics with R: An Overview. In Applied Directional Statistics: Modern Methods and Case Studies (Eds. C. Ley & T. Verdebout). CRC Press: Boca Raton Florida, pp. 277-290. PV

Papers Published Since 2000

In fulfillment of signed copyright agreements, a link below takes you to the version of a paper prior to the production of its proofs. A PV link takes you to the publisher's website where the final published version of the paper is available, a Data link to data analysed, a TR link to a technical report, and an SM link to supplementary materials.   

1. Pewsey, A. (2000) Problems of inference for Azzalini’s skew-normal distribution. Journal of Applied Statistics, 27, 859-870. PV Data

2. Pewsey, A. (2000) The wrapped skew-normal distribution on the circle. Communications in Statistics - Theory & Methods, 29, 2459-2472. PV Data

3. Pewsey, A. (2002) Large-sample inference for the general half-normal distribution. Communications in Statistics - Theory & Methods, 31, 1045-1054.  PV Data

4. Pewsey, A. (2002) Testing circular symmetry. Canadian Journal of Statistics, 30, 591-600. PV Data

5. Pewsey, A. (2004) Improved likelihood based inference for the general half-normal distribution. Communications in Statistics - Theory & Methods, 33, 197-204. PV Data

6. Pewsey, A. (2004)  The large-sample joint distribution of key circular statistics. Metrika, 60, 25-32. PV Data

7. Pewsey, A. (2004) Testing circular symmetry about a known median axis. Journal of Applied Statistics, 31, 575-585. PV Data

8. Pewsey, A. & Jones, M.C. (2005) Discrimination between the von Mises and wrapped normal distributions: just how big does the sample size have to be?  Statistics, 39, 81-89. PV

9. Pewsey, A. (2005) The large-sample distribution of the most fundamental of statistical summaries. Journal of Statistical Planning & Inference, 134, 434-444. PV

10. Jones, M.C. & Pewsey, A. (2005) A family of symmetric distributions on the circle. Journal of the American Statistical Association, 100, 1422-1428. PV Data

11. Pewsey, A. (2006) Modelling asymmetrically distributed circular data using the wrapped skew-normal distribution. Environmental & Ecological Statistics, 13, 257-269.  PV Data

12. Pewsey, A., Lewis, T. & Jones, M.C. (2007) The wrapped t family of circular distributions. Australian & New Zealand Journal of Statistics, 49, 79-91. PV Data

13. Pewsey, A & González-Farías, G. (2007) Preface to Special Issue on Skew-elliptical Distributions and their Application. Communications in Statistics - Theory & Methods, 36, 1657-1659. PV

14. Mateu-Figueras, G.,  Puig, P. & Pewsey, A. (2007) Goodness-of-fit tests for the skew-normal distribution when the parameters are estimated from the data. Communications in Statistics - Theory & Methods, 36, 1735-1755. PV

15. Pewsey, A. (2008) The wrapped stable family of distributions as a flexible model for circular data. Computational Statistics & Data Analysis, 52, 1516-1523. PV Data

16. Wiper, M.P., Giron, F.J. & Pewsey, A. (2008) Objective Bayesian inference for the half-normal and half-t distributions. Communications in Statistics - Theory & Methods, 37, 3165-3185. PV Data

17. Abe, T., Pewsey, A. & Shimizu, K. (2009) On Papakonstantinou’s extension of the cardioid distribution. Statistics & Probability Letters, 79, 2138-2147. PV Data

18. Jones, M.C. & Pewsey, A. (2009) Sinh-arcsinh distributions. Biometrika, 96, 761-780. PV TR Data

19. Reed, W. & Pewsey, A. (2009) Two nested families of skew-symmetric circular distributions. Test, 18, 516-528.  PV Data

20. Abe, T., Shimizu, K. & Pewsey, A. (2010) Symmetric unimodal models for directional data motivated by inverse stereographic projection. Journal of the Japan Statistical Society, 40, 45-61. PV Data

21. Pewsey, A., Shimizu, K. & de la Cruz, R. (2011) On an extension of the von Mises distribution due to Batschelet. Journal of Applied Statistics, 38, 1073-1085. PV Data

22. Abe, T. & Pewsey, A. (2011) Sine-skewed circular distributions. Statistical Papers, 52, 683-707. PV Data

23. Jones, M.C., Rosco, J.F. & Pewsey, A. (2011) Skewness-invariant measures of kurtosis. The American Statistician, 65, 89-95. PV

24. Abe, T. & Pewsey, A. (2011) Symmetric circular models through duplication and cosine perturbation. Computational Statistics & Data Analysis, 55, 3271-3282. PV Data

25. Rosco, J.F., Jones, M.C. & Pewsey, A. (2011) Skew t distributions via the sinh-arcsinh transformation. Test, 20, 630-652. PV Data

26. Jones, M.C. & Pewsey, A. (2012) Inverse Batschelet distributions for circular data. Biometrics, 68, 183-193. PV SM Data

27. Pewsey, A., Gómez, H.W. & Bolfarine, H. (2012) Likelihood based inference for power distributions. Test, 21, 775-789. PV Data

28. Abe, T., Pewsey, A. & Shimizu, K. (2013) Extending circular distributions through transformation of argument. Annals of the Institute of Statistical Mathematics, 65, 833-858. PV Data

29. Pewsey, A. & Abe, T. (2015) The sinh-arcsinhed logistic family of distributions: properties and inference. Annals of the Institute of Statistical Mathematics, 67, 573-594. PV SM Data

30. Kato, S. & Pewsey, A. (2015) A Möbius transformation-induced distribution on the torus. Biometrika, 102, 359-370. PV SM Data 

31. Pewsey, A. (2015) Discussion of "On families of distributions with shape parameters" by M.C. Jones. International Statistical Review, 83, 211-217. PV

32. Jones, M.C., Pewsey, A. & Kato, S. (2015) On a class of circulas: copulas for circular distributions. Annals of the Institute of Statistical Mathematics, 67, 843-862. PV SM Data

33. Rosco, J.F., Pewsey, A. & Jones, M.C. (2015) On Blest's measure of kurtosis adjusted for skewness. Communications in Statistics – Theory & Methods, 44, 3628-3638.  PV  TR   

34. Pewsey, A. & Kato, S. (2016) Parametric bootstrap goodness-of-fit testing for Wehrly–Johnson bivariate circular distributions. Statistics & Computing, 26, 1307-1317. PV

35. Pewsey, A. (2018) Parametric bootstrap edf-based goodness-of-fit testing for sinh-arcsinh distributions. Test, 27, 147-172. PV

36. Jones, M.C. & Pewsey, A. (2019) The sinh‐arcsinh normal distribution. Significance, 16, 6-7. PV

37. Taniguchi, M., Kato, S., Ogata, H. & Pewsey, A. (2020) Models for circular data from time series spectra. Journal of Time Series Analysis, 41, 808-829. DOI: 10.1111/jtsa12549 PV

38. Pewsey, A. & García-Portugués, E. (2021) Recent advances in directional statistics. Test, 30, 1-58. DOI: 10.1007/s11749-021-00759-x PV SM

39. Pewsey, A. & García-Portugués, E. (2021) Rejoinder on: Recent advances in directional statistics. Test, 30, 76-82. DOI: 10.1007/s11749-021-00762-2 PV

40. Ameijeiras-Alonso, J., Ley, C., Pewsey, A. & Verdebout, T. (2021) On optimal tests for circular reflective symmetry about an unknown central direction. Statistical Papers, 62, 1651-1674. DOI: 10.1007/s00362-019-01150-7 SM PV

41. Kato, S., Pewsey, A. & Jones, M.C. (2022) Tractable circula densities from Fourier series. Test, 31, 595-618. DOI: 10.1007/s11749-021-00790-y SM Data+RCode PV (Open Access) 

42. Andrzejak, R.G., Espinoso, A., García-Portugués, E., Pewsey, A., Epifanio, J., Leguia, M.G. & Schindler, K. (2023) High expectations on phase locking: Better quantifying the concentration of circular data. Chaos, 33,  091106. PV SM

Papers under Review