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Original Articles

On soft and hard particle motions for stochastic marked point processes

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Pages 1091-1121 | Received 14 Jan 2006, Published online: 21 Nov 2007

References

  • Rathbun , S. L. and Cressie , N. 1994 . A space–time survival point process for a longleaf pine forest in Southern Georgia . Journal of the American Statistical Association , 89 : 1164 – 1174 .
  • Särkkä , A. and Tomppo , E. 1998 . Modelling interactions between trees by means of field observations . Forest Ecology and Management , 108 : 57 – 62 .
  • Mateu , J. , Usó , J. L. and Montes , F. 1998 . The spatial pattern of forest ecosystems . Ecological Modelling , 108 : 163 – 174 .
  • Degenhardt , A. 1999 . Description of tree distribution and their development through marked Gibbs processes . Biometrical Journal , 41 : 457 – 470 .
  • Renshaw , E. and Särkkä , A. 2001 . Gibbs point processes for studying the development of spatial-temporal stochastic processes . Computational Statistics and Data Analysis , 36 : 85 – 105 .
  • Särkkä , A. and Renshaw , E. 2006 . The analysis of marked point patterns evolving through space and time . Computational Statistics and Data Analysis , Under review
  • Stoyan , D. and Ohser , J. 1982 . Correlation between planar random structures, with an ecological application . Biometrical Journal , 24 : 631 – 647 .
  • Takacs , R. and Fiksel , T. 1986 . Interaction pair-potentials for a system of ant's nest . Biometrical Journal , 28 : 1007 – 1013 .
  • Stoyan , D. 1987 . Statistical analysis of spatial point processes: A soft-core model and cross-correlations of marks . Biometrical Journal , 29 : 971 – 980 .
  • Slatkin , M. and Anderson , D. J. 1984 . A model of competition for space . Ecology , 65 : 1840 – 1845 .
  • Gavrikov , V. L. 1995 . A model of collisions of growing individuals: A further development . Ecological Modelling , 79 : 59 – 66 .
  • DiMilla , P. A. , Barbee , K. and Lauffenburger , D. A. 1991 . Mathematical model for the effects of adhesion and mechanics on cell migration speed . Biophysics Journal , 60 : 15 – 37 .
  • Cox , D. R. and Isham , V. 1980 . Point Processes , London : Chapman and Hall .
  • Stoyan , D. , Kendall , W. S. and Mecke , J. 1995 . Stochastic Geometry and its Applications , New York : John Wiley and Sons .
  • Diggle , P. J. 2003 . Statistical Analysis of Spatial Point Patterns , London : Hodder Arnold .
  • Stoyan , D. and Penttinen , A. 2000 . Recent applications of point process methods in forestry statistics . Statistical Science , 15 : 61 – 78 .
  • Baddeley , A. J. and van Lieshout , M. N.M. 1995 . Area-interaction point processes . Annals of the Institute of Statistical Mathematics , 47 : 601 – 619 .
  • van Lieshout , M. N.M. and Molchanov , I. S. 1998 . Shot-noise-weighted processes: a new family of spatial point processes . Stochastic Models , 14 : 715 – 734 .
  • Gregori , P. , van Lieshout , M. N.M. and Mateu , J. 2004 . Mixture of formulae for shot noise weighted point processes . Statistics and Probability Letters , 63 : 311 – 320 .
  • Gregori , P. and Mateu , J. Practical Monte Carlo maximum likelihood estimation for generalised area-interaction models . Proceedings of the XXVIII Meeting of the Spanish Statistical Society . pp. 319 – 320 .
  • Ogata , Y. and Tanemura , M. 1985 . Estimation of interaction potentials of marked spatial point patterns through the maximum likelihood method . Biometrics , 41 : 421 – 433 .
  • Renshaw , E. and Comas , C. Space–time generation of high-intensity patterns using growth-interaction processes . Conference on Stochastic Geometry and its Applications . October 3–7 , Bern, Switzerland.
  • Stoyan , D. 13–20 August 2003 . “ Hard problems with random systems of hard particles ” . 13–20 August , Berlin Bulletin of the 54th Session of the ISI
  • Ripley , B. D. 1976 . The second-order analysis of stationary point processes . Journal of Applied Probability , 13 : 255 – 266 .
  • Comas , C. and Mateu , J. 2006 . “ A deeper look at percolation problems in marked point processes ” . in preparation
  • Jodrey , W. S. and Tory , E. M. 1979 . Simulation of random packing of spheres . Journal of Simulation , 32 : 1 – 12 .
  • Mościński , J. and Bargiel , M. 1991 . C. Language program for the irregular close packing of hard spheres . Computer Physics Communications , 64 : 183 – 92 .
  • Torquato , S. 2005 . Random Heterogeneous Material; Microstructure and Macroscopic Properties , 2 , New York : Springer-Verlag .

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