  Detection and parameter estimation of binary neutron star merger remnants can
shed light on the physics of hot matter at supranuclear densities. Here we
develop a fast, simple model that can generate gravitational waveforms, and
show it can be used for both detection and parameter estimation of post-merger
remnants. The model consists of three exponentially-damped sinusoids with a
linear frequency-drift term. The median fitting factors between the model
waveforms and numerical-relativity simulations exceed 0.90. We detect remnants
at a post-merger signal-to-noise ratio of $\ge 7$ using a Bayes-factor
detection statistic with a threshold of 3000. We can constrain the primary
post-merger frequency to $\pm_{1.2}^{1.4}\%$ at post-merger signal-to-noise
ratios of 15 with an increase in precision to $\pm_{0.2}^{0.3}\%$ for
post-merger signal-to-noise ratios of 50. The tidal coupling constant can be
constrained to $\pm^{9}_{12}\%$ at post-merger signal-to-noise ratios of 15,
and $\pm 5\%$ at post-merger signal-to-noise ratios of 50 using a hierarchical
inference model.
