Note: The LaTeX to HTML conversion is not perfect. LaTeX2HTML isn't perfect, and I'm not very experienced with using it yet. I don't know why, but LaTeX2HTML seems to put proofs in the section following the theorem. Ack!

• Likelihood Inference for Spatial Point Processes
  • Introduction
  • Families of Unnormalized Densities
  • Examples of Families of Unnormalized Densities
    • Exponential Families
    • Conditional Families
    • Missing Data
    • Unknown Normalizing Functions and Missing Data
    • Unknown Normalizing Functions and Bayesian Inference
    • General Models Specified by Unnormalized Densities
  • Markov Chain Monte Carlo
    • Updates Not `Algorithms'
    • Combination of Updates
      • Stationarity
      • Composition
      • Mixing
      • Reversibility
      • State-Dependent Mixing
    • The Metropolis-Hastings Update
    • The Metropolis Update
    • Variable-at-a-Time Metropolis-Hastings Updates
    • The Gibbs Update
    • The Metropolis-Hastings-Green Update
      • State-Dependent Mixing
    • Why it Works
  • Finite Point Processes
    • Setup and Notation
    • Statistical Models
    • Strauss Processes
    • Completion of Exponential Family Models
    • Limit Models from Strauss Processes
      • Conditional Strauss Processes
      • Unconditional Strauss Processes
  • Simulating Finite Point Processes
  • Stability Conditions
  • Markov Chain Convergence
    • -Irreducibility
    • Small Sets
    • Harris Recurrence
    • Geometric Ergodicity
    • Central Limit Theorem
    • Comment on Asymptotics
  • Two New Point Processes
    • The Triplets Process
    • The Saturation Process
    • Limit Models from the Saturation and Triplets Processes
  • Monte Carlo Likelihood Inference
    • Monte Carlo Likelihood
    • Monte Carlo Newton-Raphson
  • Stochastic Approximation
  • Reverse Logistic Regression
  • Fitting the Saturation Model
    • Standard Errors
    • Choosing the Spacing
    • A Final Estimate
    • Stochastic Approximation
  • Hypothesis Tests
    • Wald Test
    • Rao Test
    • Likelihood Ratio Test
  • Missing Data and Edge Effects
    • Monte Carlo Likelihood with Missing Data
    • Comparison of MCL and MCEM
    • Missing Data in Point Processes
  • Fitting the Triplets Process
  • Comparing the Saturated and Triplets Models
  • Conclusion
• References
• About this document ...