Functional Convex Averaging and Synchronization for Time-Warped Random Curves - Liu, Xueli; Müller, Hans-Georg (Journal of the American Statistical Association, 2004)
Keywords: Alignment; Applications; Confidence band; Convex calculus; Curve registration; Data analysis; Data collection; Data sampling; Exact sciences and technology; Functional data analysis; General topics; Growth curves; Growth spurts; Landmarks; Limit theorems; Mathematical models; Mathematics; Methodology; Nonparametric function estimation; Probability; Probability and statistics; Probability theory and stochastic processes; Random sampling; Registration; Sample mean; Sample statistics; Sample variance; Sciences and techniques of general use; Smoothing; Space based observatories; Statistical discrepancies; Statistical methods; Statistics; Stochastic models; Stochastic process; Stochastic processes; Theory and Methods; Time; Warping; Weak convergence; Monotonic function; Statistical analysis; Function space; Image processing; Confidence limit; Average; Time scale; Median; Space time; Stochastic process; Mean estimation; Implementation; Confidence interval; Limit theorem; Functional; Statistical method; Response time; Experimental unit; Cross sectional study; Asymptotic approximation; Random function; Application