Fig. 5From: Rapid and quantitative uncertainty estimation of coseismic slip distribution for large interplate earthquakes using real-time GNSS data and its application to tsunami inundation predictionMarkov chains and posterior probability density functions (PDFs). We divided the Markov chain into four stages (number of steps in each chain): stage 1 (\(3\times {10}^{6}\) steps); stage 2 (\(3\times {10}^{6}\) steps); stage 3 (\(3\times {10}^{6}\) steps); and stage 4 (\(3\times {10}^{6}\) steps). a Markov chains of Mw, variance reduction (VR), and Akaike's Information Criterion (AIC). In dotted lines, \(\Delta {{\varvec{\theta}}}_{\mathrm{max}}\) is adjusted for \(5\times {10}^{4}\) steps as burn-in, which samples are not shown in this figure. b Posterior PDFs of Mw and VR. The range on the horizontal axis is same with the range on the vertical axis of (a). Inserted values indicate mean, median, and mode (from top to bottom). Inserted vertical red lines indicate the Mw and VR values from the median models in Fig. 4Back to article page