@inproceedings{epos2064,
       booktitle = {7 th EAGE Workshop on Passive Seismic,},
           month = {March},
           title = {Uncertainty of b-value Estimation in Connection with Magnitude Distribution Properties of Small Data Sets},
          author = {Konstantinos Michail Leptokaropoulos and Aggeliki K. Adamaki},
            year = {2018},
             url = {https://episodesplatform.eu/eprints/2064/},
        abstract = {We evaluate the efficiency of the maximum likelihood estimator introduced by Aki (1965), using synthetic datasets exhibiting diverse but well defined properties. The deviation of the b-value estimation from its real value is quantified by Monte Carlo simulations as a function of catalogue features and data properties such as the sample size, the magnitude uncertainties distribution, the round-off interval of reported magnitude values and the magnitude range. Within the objective of this study, algorithms have been compiled for the determination of such observational-theoretical deviations and to facilitate the construction of nomograms corresponding to diverse cases of input parameters. In this way, a more accurate estimation of the uncertainty level for the b-value and MC determination can be achieved, contributing to a more robust seismic hazard assessment, especially at low activity areas and induced seismicity sites. Our results indicate that b-value analysis, especially for small datasets should be carried out together with Magnitude range analysis. Nomograms should be constructed and adjusted to each particular case study in order to achieve a more accurate estimation of the b-value and the corresponding uncertainty.}
}