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A note on modeling sparse exponential-family functional response curves

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  • Gertheiss, Jan
  • Goldsmith, Jeff
  • Staicu, Ana-Maria

Abstract

Non-Gaussian functional data are considered and modeling through functional principal components analysis (FPCA) is discussed. The direct extension of popular FPCA techniques to the generalized case incorrectly uses a marginal mean estimate for a model that has an inherently conditional interpretation, and thus leads to biased estimates of population and subject-level effects. The methods proposed address this shortcoming by using either a two-stage or joint estimation strategy. The performance of all methods is compared numerically in simulations. An application to ambulatory heart rate monitoring is used to further illustrate the distinctions between approaches.

Suggested Citation

  • Gertheiss, Jan & Goldsmith, Jeff & Staicu, Ana-Maria, 2017. "A note on modeling sparse exponential-family functional response curves," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 46-52.
    • Handle: RePEc:eee:csdana:v:105:y:2017:i:c:p:46-52
    DOI: 10.1016/j.csda.2016.07.010
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    Cited by:

    1. Zhong, Rou & Liu, Shishi & Li, Haocheng & Zhang, Jingxiao, 2022. "Robust functional principal component analysis for non-Gaussian longitudinal data," Journal of Multivariate Analysis, Elsevier, vol. 189(C).
    2. Julia Wrobel & Vadim Zipunnikov & Jennifer Schrack & Jeff Goldsmith, 2019. "Registration for exponential family functional data," Biometrics, The International Biometric Society, vol. 75(1), pages 48-57, March.
    3. Daniel Backenroth & Russell T. Shinohara & Jennifer A. Schrack & Jeff Goldsmith, 2020. "Nonnegative decomposition of functional count data," Biometrics, The International Biometric Society, vol. 76(4), pages 1273-1284, December.
    4. Weishampel, Anthony & Staicu, Ana-Maria & Rand, William, 2023. "Classification of social media users with generalized functional data analysis," Computational Statistics & Data Analysis, Elsevier, vol. 179(C).

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