Markov point processes and their applications /

These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. "High level" image analysis is concerned wit...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Van Lieshout, M. N. M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Imperial College Press, ©2000.
Temas:
Markov processes.
Spatial analysis (Statistics)
Stochastic geometry.
Markov Chains
Processus de Markov.
Analyse spatiale (Statistique)
Géométrie stochastique.
spatial analysis.
MATHEMATICS > Probability & Statistics > Stochastic Processes.
Markov processes
Stochastic geometry
Markov-Prozess
Punktprozess
Markov-processen.
Processos estocasticos.
Processos estocasticos pontuais.
Processos de markov.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Chapter 1 Point Processes""; ""1.1 Introduction""; ""1.2 Definitions and notation""; ""1.3 Simple point processes""; ""1.4 Finite point processes""; ""1.5 Poisson point processes""; ""1.6 Finite point processes specified by a density""; ""1.7 Campbell and moment measures""; ""1.8 Interior and exterior conditioning""; ""1.8.1 A review of Palm theory""; ""1.8.2 A review of conditional intensities""; ""Chapter 2 Markov Point Processes""; ""2.1 Ripleyâ€?Kelly Markov point processes""; ""2.2 The Hammersleyâ€?Clifford theorem""; ""2.3 Markov marked point processes""
  • ""2.4 Nearest-neighbour Markov point processes""""2.5 Connected component Markov point processes""; ""Chapter 3 Statistical Inference""; ""3.1 Introduction""; ""3.2 The Metropolisâ€?Hastings algorithm""; ""3.3 Conditional simulation""; ""3.4 Spatial birth-and-death processes""; ""3.5 Exact simulation""; ""3.6 Auxiliary variables and the Gibbs sampler""; ""3.7 Maximum likelihood estimation""; ""3.8 Estimation based on the conditional intensity""; ""3.8.1 Takacsâ€?Fiksel estimation""; ""3.8.2 Maximum pseudo-likelihood estimation""; ""3.9 Goodness of fit testing""; ""3.10 Discussion""
  • Chapter 4 Applications4.1 Modelling spatial patterns
  • 4.2 Pairwise interaction processes
  • 4.3 Area-interaction processes
  • 4.4 Shot noise and quermass-interaction processes
  • 4.5 Morphologically smoothed area-interaction processes
  • 4.6 Hierarchical and transformed processes
  • 4.7 Cluster processes
  • 4.8 Case study
  • 4.8.1 Exploratory analysis
  • 4.8.2 Model fitting
  • 4.9 Interpolation and extrapolation
  • 4.9.1 Model
  • 4.9.2 Posterior sampling
  • 4.9.3 Monotonicity properties and coupling from the past
  • Bibliography
  • Index

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