diff --git a/analysis/parameter_estimation.rst b/analysis/parameter_estimation.rst
index 8c9a6bb6277cd602d7d0ee34cfd446e7d69cef2d..6e078b57bebe3a580badc7cf83f54bb40621cc6f 100644
--- a/analysis/parameter_estimation.rst
+++ b/analysis/parameter_estimation.rst
@@ -29,8 +29,8 @@ included in the preliminary alert.
 algorithm. It explores a greatly expanded parameter space including sky
 location, distance, masses, and spins, and performs full forward modeling of
 the gravitational-wave signal and the strain calibration of the
-gravitational-wave detectors. It explores the parameter space using Markov
-chain Monte Carlo and nested sampling. For all events, there is an automated
+gravitational-wave detectors. It explores the parameter space using
+:term:`MCMC` and nested sampling. For all events, there is an automated
 LALInference analysis that uses the least expensive CBC waveform models and
 completes within hours and may be included in a subsequent alert. More
 time-consuming analyses with more sophisticated waveform models are started at