References
- D. Amitrano, Variability in the power-law distributions of rupture events, Eur. Phys. J. Spec. Top. 205 (2012), pp. 199–215, doi:10.1140/epjst/e2012-01571-9
- D. Amorèse, J.-R. Grasso, and P.A. Rydelek, On varying b-values with depth: Results from computer-intensive tests for Southern California, Geophys. J. Int. 180 (2010), pp. 347–360. doi: 10.1111/j.1365-246X.2009.04414.x
- M.S. Bebbington, Identifying volcanic regimes using Hidden Markov Models, Geophys. J. Int. 171 (2007), pp. 921–942. doi: 10.1111/j.1365-246X.2007.03559.x
- A. Bureau, S. Shiboski, and J.P. Hughes, Applications of continuous time hidden Markov models to the study of misclassified disease outcomes, Stat. Med. 22 (2003), pp. 441–462. doi: 10.1002/sim.1270
- P. Fearnhead and C. Sherlock, An exact Gibbs sampler for the Markov-modulated Poisson process, J. R. Stat. Soc. Ser. B 68 (2006), pp. 767–784. doi: 10.1111/j.1467-9868.2006.00566.x
- A. Hobolth and J. Jensen, Summary statistics for endpoint-conditioned continuous-time Markov chains, J. Appl. Probab. 48 (2011), pp. 911–924. doi: 10.1239/jap/1324046009
- W. Johnson, X. Liu, and J.S. Liu, Doubly-stochastic continuous-time hidden Markov approach for analyzing genome tiling arrays, Ann. Appl. Stat. 3 (2009), pp. 1183–1203. doi: 10.1214/09-AOAS248
- J.M. Lange and V.M. Minin, Fitting and interpreting continuous-time latent Markov models for panel data, Stat. Med. 32 (2013), pp. 4581–4595. doi: 10.1002/sim.5861
- T.A. Louis, Finding the observed information matrix when using the EM algorithm, J. R. Stat. Soc. Ser. B 44 (1982), pp. 226–233.
- S. Lu, Markov modulated Poisson process associated with state-dependent marks and its applications to the deep earthquakes, Ann. Inst. Statist. Math. 64 (2012), pp. 87–106. doi: 10.1007/s10463-010-0302-9
- S. Lu and D. Vere-Jones, Large occurrence patterns of New Zealand deep earthquakes: Characterization by use of a switching Poisson model, PAGEOPH 168 (2011), pp. 1567–1585. doi: 10.1007/s00024-011-0263-9
- A. Mignan, Functional shape of the earthquake frequency-magnitude distribution and completeness magnitude, J. Geophys. Res. 117 (2012), p. B08302, doi:10.1029/2012JB009347
- A. Mignan and G. Chouliaras, Fifty years of seismic network performance in Greece (1964–2013): Spatiotemporal evolution of the completeness magnitude, Seismol. Res. Lett. 85 (2014), pp. 657–667, doi:10.1785/0220130209
- A. Mignan and J. Woessner, Estimating the magnitude of completeness for earthquake catalogues, CORSSA (2012), doi: 10.5078/corssa-00180805. Available at http://www.corssa.org.
- R. Mitra and M. Gupta, A continuous-index Bayesian hidden Markov model for prediction of nucleosom positioning in genomic DNA, Biostatistics 12 (2011), pp. 462–477. doi: 10.1093/biostatistics/kxq077
- K.Z. Nanjo, N. Hirata, K. Obara, and K. Kasahara, Decade-scale decrease in b value prior to the M9-class 2011 Tohoku and 2004 Sumatra quakes, Geophys. Res. Lett. 39 (2012), p. L20304, doi: 10.1029/2012GL052997
- P. Nuannin, O. Kulhanek, and L. Persson, Spatial and temporal b value anomalies preceding the devastating off coast of NW Sumatra earthquake of December 26, 2004, Geophys. Res. Lett. 32 (2005), p. L11307-1–L11307-4. doi: 10.1029/2005GL022679
- Y. Ogata, Statistical Models for earthquake occurrences and residual analysis for point process, J. Amer. Statist. Assoc. 83 (1988), pp. 9–27. doi: 10.1080/01621459.1988.10478560
- W.J.J. Roberts and Y. Ephraim, An EM algorithm for Ion-channel current estimation, IEEE Trans. Signal Process. 56 (2008), pp. 26–33. doi: 10.1109/TSP.2007.906743
- T. Ryden, An EM algorithm for estimation in Markov-modulated Poisson processes, Comput. Statist. Data Anal. 21 (1996), pp. 431–447. doi: 10.1016/0167-9473(95)00025-9
- D. Schorlemmer and S. Wiemer, Microseismicity data forecast rupture area, Nature 434 (2005), p. 1086. doi: 10.1038/4341086a
- D. Schorlemmer, S. Weimer, and M. Wyss, Variations in earthquake-size distribution across different stress regimes, Nature 437 (2005), pp. 539–542. doi: 10.1038/nature04094
- W.D. Smith, The b-value as an earthquake precursor, Nature 289 (1981), pp. 136–139. doi: 10.1038/289136a0
- S. Stjernqvist and T. Ryden, A continuous-index hidden Markov jump process for modeling DNA copy number data, Biostatistics 10 (2009), pp. 773–778. doi: 10.1093/biostatistics/kxp030
- T. Tormann, S. Wiemer, and A. Mignan, Systematic survey of high-resolution b value imaging along Californian faults: Inference on asperities, J. Geophys. Res. 199 (2014), pp. 2029–2054, doi:10.1002/2013JB01086
- C.F. Van Loan, Computing integrals involving the matrix exponential, IEEE Trans. Automat. Control 23 (1978), pp. 395–404. doi: 10.1109/TAC.1978.1101743
- S. Wiemer, S.R. McNutt, and M. Wyss, Temporal and three-dimensional spatial analyses of the frequency magnitude distribution near Long Valley Caldera, California, Geophys. J. Int. 134 (1998), pp. 409–421. doi: 10.1046/j.1365-246x.1998.00561.x
- J. Woessner and S. Wiemer, Assessing the quality of earthquake catalogues: Estimating the magnitude of completeness and its uncertainty, Bull. Seismol. Soc. Amer. 95 (2005), pp. 684–698. doi: 10.1785/0120040007
- M. Wyss and R. Stefansson, Nucleation points of recent main shocks in southern Iceland, mapped by b-values, Bull. Seismol. Soc. Amer. 96 (2006), p. 599–608. doi: 10.1785/0120040056
- W. Zucchini and I.L. MacDonald, Hidden Markov Models for Time Series: An Introduction Using R, Chapman and Hall, New York, 2009.