  Potentially interesting gravitational-wave candidates (outliers) from the
blind all-sky searches have to be confirmed or rejected by studying their
origin and precisely estimating their parameters. We present the design and
first results for the followup procedure of the {\tt Polgraw} all-sky search
pipeline: a coherent search for almost-monochromatic gravitational-wave signals
in several-day long time segments using the $F$-statistic method followed by
the coincidences between the candidate signals. Approximate parameters
resulting in these two initial steps are improved in the final followup step,
in which the signals from detectors are studied separately, together with the
network combination of them, and the true parameters and signal-to-noise values
are established.
