My research involves the development and implementation of statistical methods, especially those that are highly dependent on computation. My principal area of interest is mixture model-based clustering and recent work includes the development of approaches for higher-order data, mixed-type data, and multivariate longitudinal data. I have a special interest in autism and aging, respectively.
Forthcoming & Recently Published Contributions (Last 10) Sochaniwsky, A.A., Gallaugher, M.P.B., Tang, Y. and McNicholas, P.D. (2025), ‘Flexible clustering with a sparse mixture of generalized hyperbolic distributions’, Journal of Classification42(1), 113-133. [doi].
Zhang, X., Murphy, O.A. and McNicholas, P.D. (2025), ‘Balanced longitudinal data clustering with a copula kernel mixture model’, Canadian Journal of Statistics53(1), e11838. [doi]
Neal, M.R. and McNicholas, P.D. (2024). ‘Variable selection for clustering three-way data’ in J. Ansari et al. (eds.), Combining, Modelling and Analyzing Imprecision, Randomness and Dependence, Advances in Intelligent Systems and Computing, vol. 1458, Springer Nature Switzerland, pp. 317–324. [doi]
Neal, M.R., Sochaniwsky, A.A., and McNicholas, P.D. (2024), ‘Hidden Markov models for multivariate panel data’, Statistics and Computing34, 182 . [doi]
Gabour, M.C., You, T., Fleming, R., McNicholas, P.D. and Gona, P.N. (2024), ‘The association of physical activity duration and intensity on emotional intelligence in 10–13 year-old children’, Sports Medicine and Health Science6(4), 231-237. [doi]
Gallaugher, M.P.B. and McNicholas, P.D. (2024), ‘Clustering and semi-supervised classification for clickstream data via mixture models’, Canadian Journal of Statistics. 52(3), 678-695. [doi]
Clark, K.M. and McNicholas, P.D. (2024), ‘Finding outliers in Gaussian model-based clustering', Journal of Classification41(2), 313-337. [doi]
Pocuca, N., Gallaugher, M.P.B., Clark, K.M. and McNicholas, P.D. (2023), ‘Visual assessment of matrix-variate normality’, Australian and New Zealand Journal of Statistics65(2), 152-165. [doi]
Gallaugher, M.P.B., Biernacki, C. and McNicholas, P.D. (2023), ‘Parameter-wise co-clustering for high-dimensional data’, Computational Statistics 38, 1597-1619. [doi]
Silva, A., Qin, X., Rothstein, S.J., McNicholas, P.D. and Subedi, S. (2023), ‘Finite mixtures of matrix variate Poisson-log normal distributions for three-way count data’, Bioinformatics39(5), btad167. [doi]
Software: Recently Published or Updated McNicholas, P.D., ElSherbiny, A., Jampani, K.R., McDaid, A.F., Murphy, T.B. and Banks, L. (2025). pgmm: Parsimonious Gaussian mixture models. R package version 1.2.8.
Neal, M.R., Sochaniwsky, A.A., and McNicholas, P.D. (2024). CDGHMM: Hidden Markov models for multivariate panel data. R package version 0.1.0.
Pocuca, N., Browne, R.P., and McNicholas, P.D. (2024). mixture: Mixture models for clustering and classification. R package version 2.1.1.
McNicholas, P.D., Jampani, K.R., Subedi, S. (2023). longclust: Clustering longitudinal data. R package version 1.5.
Andrews, J.L., Neal, M.R., and McNicholas, P.D. (2023). vscc: Variable selection for clustering and classification. R package version 0.7.