Dr Juhyun Park


Research Overview

My main research area centres around functional data analysis and its applications. A typical functional data will be in the form of curves, or densely observed longitudinal data, such as spectrometric curves or cardiac frequency profiles. I focus on semi- or non-parametric approaches to analysing such data. Recent works are motivated by the need of developing methodologies for the analysis of multi-dimensional curves based on dynamic relations, and for extending to more general objects such as shapes or images.

Data as curves can also arise as intermediary from other forms of data, for example, risk neutral density functions, mortality curves, periodograms or intensity functions, and many nonparametric and functional data analysis techniques can be adopted to these type of data.

My interest also extends to regression models for extreme events, multiple point process models, ordinary differential equation models and medical statistics. In particular I am interested in extending these models to incorporate more complex data structure or high dimensional problems.

Stability and coherence of biomarker identification methods in Fourier-transform infrared (FTIR) spectroscopy
Trevisan, J., Park, J., Angelov, P., Ahmadzai, A., Gajjar, K., Scott, A., Carmichael, P., Martin, F. 04/2014 In: Journal of Biophotonics. 7, 3-4, p. 254-265. 12 p.
Journal article

Functional synchrony for point processes
Park, J. 2014 In: Contributions in infinite-dimensional statistics and related topics. Societa Editorice Esculapio p. 203-208. 6 p.

Removing phase variability to extract a mean shape for juggling trajectories
Brunel, N., Park, J. 2014 In: Electronic Journal of Statistics.
Journal article

Shape invariant modeling of pricing kernels and risk aversion
Grith, M., Haerdle, W., Park, J. 2013 In: Journal of Financial Econometrics. 11, 2, p. 370-399. 30 p.
Journal article

Estimation of a functional single index model
Ferraty, F., Park, J., Vieu, P. 2011 In: Recent Advances in Functional Data Analysis and Related Topics. Berlin : Physica-Verlag HD p. 111-116. 6 p.

Long-range dependence analysis of Internet traffic
Park, C., Hernandez-Campos, F., Le, L., Marron, J.S., Park, J., Pipiras, V., Smith, F.D., Smith, R.L., Trovero, M., Zhu, Z. 2011 In: Journal of Applied Statistics. 38, 7, p. 1407-1433. 27 p.
Journal article

Local additive estimation.
Park, J., Seifert, B. 03/2010 In: Journal of the Royal Statistical Society - Series B: Statistical Methodology. 72, 2, p. 171-191. 21 p.
Journal article

Robust estimation of the Hurst parameter and selection of an onset scaling.
Park, J., Park, C. 10/2009 In: Statistica Sinica. 19, 4, p. 1531-1555. 25 p.
Journal article

Structural components in functional data.
Park, J., Gasser, T., Rousson, V. 1/07/2009 In: Computational Statistics and Data Analysis. 53, 9, p. 3452-3465. 14 p.
Journal article

Shape invariant modelling pricing kernels and risk aversion. SFB 649 Discussion Papers SFB649DP2009-041, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
Grith, M., Härdle, W., Park, J. 2009 Berlin : Humboldt University
Working paper

Supporting mathematics undergraduates in learning statistics using self-learning materials
Park, J., Sperrin, M. 2009 In: JSM Proceedings, Washington, USA.
Conference contribution

On properties of local additive estimation based on the smooth backfitting estimator.
Park, J., Seifert, B. 2008
Working paper

On the effect of curve alignment and functional PCA
Park, J. 2008 In: Functional and operatorial statistics. Springer p. 243-245. 3 p.

On the choice of an auxiliary function in the M/G/∞ estimation.
Park, J. 15/08/2007 In: Computational Statistics and Data Analysis. 51, 12, p. 5477-5482. 6 p.
Journal article

Nonparametric inference about service time distribution from indirect measurements.
Park, J., Hall, P. 1/11/2004 In: Journal of the Royal Statistical Society - Series B: Statistical Methodology. 66, 4, p. 861-875. 15 p.
Journal article