Faà di Bruno’s formula and spatial cluster modelling

[1]  R. Gâteaux,et al.  Fonctions d'une infinité de variables indépendantes , 1919 .

[2]  J. Neyman,et al.  Statistical Approach to Problems of Cosmology , 1958 .

[3]  N. N. Bogolyubov,et al.  Problems of a Dynamical Theory in Statistical Physics , 1959 .

[4]  J. E. Moyal The general theory of stochastic population processes , 1962 .

[5]  S. Kidambi Srinivasan,et al.  Stochastic point processes and their applications , 1974 .

[6]  B. Ripley Statistical inference for spatial processes , 1990 .

[7]  Robert Haining,et al.  Statistics for spatial data: by Noel Cressie, 1991, John Wiley & Sons, New York, 900 p., ISBN 0-471-84336-9, US $89.95 , 1993 .

[8]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[9]  T. Mattfeldt Stochastic Geometry and Its Applications , 1996 .

[10]  van Marie-Colette Lieshout,et al.  Markov Point Processes and Their Applications , 2000 .

[11]  Adrian Baddeley,et al.  Centrum Voor Wiskunde En Informatica Probability, Networks and Algorithms Probability, Networks and Algorithms Extrapolating and Interpolating Spatial Patterns Extrapolating and Interpolating Spatial Patterns , 2022 .

[12]  Andrew B. Lawson,et al.  Spatial cluster modelling , 2002 .

[13]  J. Møller,et al.  Statistical Inference and Simulation for Spatial Point Processes , 2003 .

[14]  R. Mahler Multitarget Bayes filtering via first-order multitarget moments , 2003 .

[15]  Nicholas Rose Spatial Cluster Modelling , 2004, Technometrics.

[16]  Pierre Bernhard,et al.  Chain differentials with an application to the mathematical fear operator , 2005 .

[17]  A. Doucet,et al.  Sequential Monte Carlo methods for multitarget filtering with random finite sets , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[18]  Adrian Baddeley,et al.  spatstat: An R Package for Analyzing Spatial Point Patterns , 2005 .

[19]  Ba-Ngu Vo,et al.  The Gaussian Mixture Probability Hypothesis Density Filter , 2006, IEEE Transactions on Signal Processing.

[20]  R. Mahler,et al.  PHD filters of higher order in target number , 2006, IEEE Transactions on Aerospace and Electronic Systems.

[21]  Ba-Ngu Vo,et al.  Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter , 2007, IEEE Transactions on Signal Processing.

[22]  D. Stoyan,et al.  Statistical Analysis and Modelling of Spatial Point Patterns , 2008 .

[23]  Ronald P. S. Mahler The multisensor PHD filter: I. General solution via multitarget calculus , 2009, Defense + Commercial Sensing.

[24]  Ronald P. S. Mahler,et al.  PHD filters for nonstandard targets, I: Extended targets , 2009, 2009 12th International Conference on Information Fusion.

[25]  D. Stoyan,et al.  Stochastic Geometry and Its Applications , 1989 .

[26]  Daniel E. Clark,et al.  Extended object filtering using spatial independent cluster processes , 2010, 2010 13th International Conference on Information Fusion.

[27]  David Vere-Jones,et al.  Point Processes , 2011, International Encyclopedia of Statistical Science.

[28]  Daniel E. Clark,et al.  Faa di Bruno's formula for chain differentials , 2013, 1310.2833.