Estimation of the expected number of earthquake occurrences based on semi-Markov models

DOI10.1007/s11009-011-9257-4zbMath1258.60053OpenAlexW2093271131MaRDI QIDQ1930631

Nikolaos Limnios, Eleftheria Papadimitriou, Irene Votsi, George Tsaklidis

Publication date: 11 January 2013

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-011-9257-4

zbMATH Keywords

hitting timessemi-Markov processearthquake occurrence ratesexpected number of earthquake occurrencessemi-Markov kernels

Mathematics Subject Classification ID

Related Items (10)

Estimating the earthquake occurrence rates in Corinth Gulf (Greece) through Markovian arrival process modeling ⋮ Conditional failure occurrence rates for semi-Markov chains ⋮ On the derivative counting processes of first- and second-order aggregated semi-Markov systems ⋮ Hidden Markov models revealing the stress field underlying the earthquake generation ⋮ Reliability and survival analysis for drifting Markov models: modeling and estimation ⋮ State space splitting of a finite markov process and some discussions on related counting processes ⋮ Bayesian estimation for a parametric Markov renewal model applied to seismic data ⋮ Hidden Markov models with binary dependence ⋮ Estimation of the intensity of the hitting time for semi-Markov chains and hidden Markov renewal chains ⋮ ROCOF of higher order for semi-Markov processes

Cites Work

• About earthquake forecasting by Markov renewal processes
• Asymptotic expansion of the log-likelihood function based on stopping times defined on a Markov process
• Nonparametric estimation for semi-Markov processes based on its hazard rate functions
• The rate of occurrence of failures for semi-Markov processes and estimation
• Estimation in stationary Markov renewal processes, with application to earthquake forecasting in Turkey
• Estimation of the transition distributions of a Markov renewal process
• Nonparametric estimation based on censored observations of a Markov renewal process
• Semi-Markov models for partially censored data
• Empirical Estimator of Stationary Distribution for Semi-Markov Processes
• Semi-Markov processes and reliability

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