Journal
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
Volume 79, Issue 1, Pages 5-27Publisher
WILEY-BLACKWELL
DOI: 10.1111/rssb.12155
Keywords
Classification of regression curves; Kernel estimation; Longitudinal or panel data; Non-parametric regression
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Funding
- ESRC [ES/I034021/1] Funding Source: UKRI
- Economic and Social Research Council [ES/I034021/1] Funding Source: researchfish
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We investigate a longitudinal data model with non-parametric regression functions that may vary across the observed individuals. In a variety of applications, it is natural to impose a group structure on the regression curves. Specifically, we may suppose that the observed individuals can be grouped into a number of classes whose members all share the same regression function. We develop a statistical procedure to estimate the unknown group structure from the data. Moreover, we derive the asymptotic properties of the procedure and investigate its finite sample performance by means of a simulation study and a real data example.
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