Before revision:  Borrowing ideas from symbolic data analysis, we consider data representations beyond scalars and vectors. Specifically, we consider a quantile function as an observation, and develop a new class of dynamic models for quantile-function-valued (QF-valued) time series.
After revision:  Borrowing ideas from symbolic data analysis, we develop a time-series model for forecasting quantile-function-valued (QF-valued) time series.