TimeSeriesInsert
TimeSeriesInsert[tseries, {t, v}] inserts a value v at time t in the time series tseries.
TimeSeriesInsert[tseries1, tseries2]inserts the time-value pairs from tseries2 into tseries1.
Examples
ts = TimeSeries[{{1, 10}, {2, 20}, {3, 30}}];
TimeSeriesInsert[ts, {2.5, 25}]Please visit the official Wolfram Language Reference for more details.