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@ARTICLE{Tordeux:202312,
      author       = {Tordeux, Antoine and Zhang, Jun and Steffen, Bernhard and
                      Seyfried, Armin},
      title        = {{Q}uantitative comparison of estimations for the density
                      within pedestrian streams},
      journal      = {Journal of statistical mechanics: theory and experiment},
      volume       = {2015},
      number       = {6},
      issn         = {1742-5468},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2015-04576},
      pages        = {P06030 -},
      year         = {2015},
      abstract     = {In this work, the precision of estimators for the density
                      within unidirectional pedestrian streams is evaluated. The
                      analysis is done in controllable systems where the density
                      is homogeneous and all the characteristics are known. The
                      objectives are to estimate the global density with local
                      measurements or density profile at high spatial resolution
                      with no bias and low fluctuations. The classical estimation
                      using discrete numbers of observed pedestrians is compared
                      to continuous estimators using spacing distance, Voronoi
                      diagram, Gaussian kernel as well as maximum likelihood. Mean
                      squared error and bias of the estimators are calculated from
                      empirical data and Monte Carlo experiments. The results show
                      quantitatively how continuous approaches improve the
                      precision of the estimations.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000357407300032},
      doi          = {10.1088/1742-5468/2015/06/P06030},
      url          = {https://juser.fz-juelich.de/record/202312},
}