  We investigate the performance of quantum parameter estimation based on a
qubit probe in a dissipative bosonic environment beyond the traditional
paradigm of weak-coupling and rotating-wave approximations. By making use of an
exactly numerical hierarchical equations of motion method, we analyze the
influences of the non-Markovian memory effect induced by the environment and
the form of probe-environment interaction on the estimation precision. It is
found that (i) the non-Markovianity can effectively boost the estimation
performance and (ii) the estimation precision can be improved by introducing a
perpendicular probe-environment interaction. Our results indicate the scheme of
parameter estimation in a noisy environment can be optimized via engineering
the decoherence mechanism.
