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Article
Multi-feature clustering of step data using multivariate functional principal component analysis
This study presents a new statistical method for clustering step data, a popular form of health recording data easily obtained from wearable devices. As step data are high-dimensional and zero-inflated, classi...
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Article
Quantile spectral analysis of long-memory processes
This study examines the problem of robust spectral analysis of long-memory processes. We investigate the possibility of using Laplace and quantile periodograms for a non-Gaussian distribution structure. The La...
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Article
Identifying local smoothness for spatially inhomogeneous functions
We consider a problem of estimating local smoothness of a spatially inhomogeneous function from noisy data under the framework of smoothing splines. Most existing studies related to this problem deal with esti...
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Article
Simultaneous confidence interval for quantile regression
This paper considers a problem of constructing simultaneous confidence intervals for quantile regression. Recently, Krivobokova et al. (J Am Stat Assoc 105:852–863, 2010) provided simultaneous confidence interval...
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Article
The role of functional data analysis for instantaneous frequency estimation
This paper proposes a method for estimating the instantaneous frequency of a nonstationary signal; this method is based on a combination of empirical mode decomposition and functional data analysis. The propos...
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Article
Cross-validated wavelet shrinkage
Cross-validation has been successfully used in various areas of statistics. However, it has not been used much in wavelet shrinkage estimation because fast wavelet methods cannot be applied to deleted data. In...
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Article
Bayesian selection of primary resolution and wavelet basis functions for wavelet regression
This paper considers a Bayesian approach to selecting a primary resolution and wavelet basis functions. Most of papers on wavelet shrinkage have been focused on thresholding of wavelet coefficients, given a pr...
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Article
Robust penalized regression spline fitting with application to additive mixed modeling
An increasingly popular method for smoothing noisy data is penalized regression spline fitting. In this paper a new procedure is proposed for fitting robust penalized regression splines. This procedure is comp...