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Abstract:
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We consider repeated random curves in functional data analysis, with the modification that the random curves are perturbed by error processes that exhibit short- or long-range dependence. The estimation of trend function, covariance function, eigenvalues, eigenfunctions and principal component scores are given. Two sample inference in functional data analysis is discussed. A test statistic for testing the equality of eigenspaces is constructed and asymptotic properties are derived. Numerical examples illustrate the results.
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