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Random Point Processes in Time and Space

This book is a revision of Random Point Processes written by D. L. Snyder and published by John Wiley and Sons in 1975. More emphasis is given to point processes on multidimensional spaces, especially to pro­ cesses in two dimensions. This reflects the tremendous increase that has taken place in the...

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Bibliographic Details
Main Authors: Snyder, Donald L., Miller, Michael I. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1991, 1991
Edition:2nd ed. 1991
Series:Springer Texts in Electrical Engineering
Subjects:
Calculus Of Variations And Optimization
Control Theory
Systems Theory, Control
System Theory
Telecommunication
Communications Engineering, Networks
Mathematical Optimization
Calculus Of Variations
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Point and Counting Processes: Introduction and Preliminaries
  • 1.1 Introduction
  • 1.2 Counting Processes
  • 1.3 Organization of the Book
  • 1.4 Mathematical Preliminaries
  • 1.5 References
  • 2 Poisson Processes
  • 2.1 Introduction
  • 2.2 Conditions for Temporal Poisson-Processes
  • 2.3 Point-Location Statistics
  • 2.4 Parameter Estimation for Temporal Poisson-Processes
  • 2.5 Multidimensional Poisson-Processes
  • 2.6 References
  • 2.7 Problems
  • 3 Translated Poisson-Processes
  • 3.1 Introduction
  • 3.2 Statistics of Translated Poisson-Processes
  • 3.3 Estimation for Translated Poisson-Processes
  • 3.4 Constrained Estimation
  • 3.5 Conclusions
  • 3.6 References
  • 3.7 Problems
  • 4 Compound Poisson-Processes
  • 4.1 Introduction
  • 4.2 Statistics of Compound Poisson-Processes
  • 4.3 Representation of Compound Poisson-Processes
  • 4.4 Estimation for Compound Poisson-Processes
  • 4.5 Statistical Inference for Mixed Poisson-Processes
  • 4.6 References
  • 4.7 Problems
  • 5 Filtered Poisson-Processes
  • 5.1 Introduction
  • 5.2 Superposition of Point Responses
  • 5.3 Poisson Driven Markov Processes
  • 5.4 References
  • 5.5 Problems
  • 6 Self-Exciting Point Processes
  • 6.1 Introduction
  • 6.2 General Self-Exciting Point Processes
  • 6.3 Self-Exciting Point Processes with Limited Memory
  • 6.4 References
  • 6.5 Problems
  • 7 Doubly Stochastic Poisson-Processes
  • 7.1 Introduction
  • 7.2 Counting Statistics
  • 7.3 Time Statistics
  • 7.4 Filtering
  • 7.5 Doubly Stochastic Multidimensional Poisson-Processes
  • 7.6 References
  • 7.7 Problems
  • Author Index
  • Examples Index 473
  • Subject Index 477

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