This paper focuses on the optimal design of time point allocation in repeated measurements experiments with applications to longitudinal studies. Most literature mainly focus estimation mean responses each subject whereas we try find that aids both and correlation structures observations. Our criterion also takes into account missing data issue, which is very common practice. Instead local appr...

We propose an estimator for the mean of random variables in separable real Banach spaces using empirical characteristic function. Assuming that covariance operator variable is bounded a precise sense, we show proposed achieves optimal sub-Gaussian rate, except faster decaying mean-dependent term. Under mild condition, iterative refinement procedure can essentially eliminate term and provide shi...