The Springer Series in Statistics features a collection of books on statistical theory and applications, with advisors including D. Brillinger, S. Fienberg, J. Gani, J. Hartigan, and K. Krickeberg. The series includes notable works such as "Data: A Collection of Problems from Many Fields for the Student and Research Worker" by Andrews and Herzberg, "Computing in Statistical Science through APL" by Anscombe, and "Statistical Decision Theory and Bayesian Analysis" by Berger. Other titles include "Point Processes and Queues: Martingale Dynamics" by Brémaud, "Time Series: Theory and Methods" by Brockwell and Davis, and "An Introduction to the Theory of Point Processes" by D. J. Daley and D. Vere-Jones.
"An Introduction to the Theory of Point Processes" is a comprehensive text that provides a survey of point process theory for beginning graduate students and applied researchers. The book adopts a partly historical approach, starting with an informal introduction, followed by a detailed discussion of familiar examples, and gradually moving into more abstract and general topics. Chapters 1–4 provide historical background and treat fundamental special cases, including Poisson processes, stationary processes on the line, and renewal processes. Chapters 6–14 develop aspects of the general theory, with a focus on the language of metric spaces and the use of measure theory.
The book includes appendices that collect key results from measure theory and the theory of measures on metric spaces, making it accessible to applied workers who wish to understand the main ideas of the general theory without becoming experts in these fields. The text is written in a style inspired by Feller, with a focus on motivating and illustrating the general theory through a range of examples, some didactic and others drawn from real applications. The book also includes a variety of exercises that extend or apply the theory and examples developed in the main text.
The authors acknowledge their indebtedness to many persons and institutions, particularly those who have contributed to the development of point process theory over the last two decades. The book is structured to provide a thorough understanding of point process theory, with a focus on both theoretical foundations and practical applications. It includes a detailed discussion of convergence concepts, limit theorems, stationary point processes, spectral theory, and Palm theory, among other topics. The book is a valuable resource for researchers and students in statistics and related fields.The Springer Series in Statistics features a collection of books on statistical theory and applications, with advisors including D. Brillinger, S. Fienberg, J. Gani, J. Hartigan, and K. Krickeberg. The series includes notable works such as "Data: A Collection of Problems from Many Fields for the Student and Research Worker" by Andrews and Herzberg, "Computing in Statistical Science through APL" by Anscombe, and "Statistical Decision Theory and Bayesian Analysis" by Berger. Other titles include "Point Processes and Queues: Martingale Dynamics" by Brémaud, "Time Series: Theory and Methods" by Brockwell and Davis, and "An Introduction to the Theory of Point Processes" by D. J. Daley and D. Vere-Jones.
"An Introduction to the Theory of Point Processes" is a comprehensive text that provides a survey of point process theory for beginning graduate students and applied researchers. The book adopts a partly historical approach, starting with an informal introduction, followed by a detailed discussion of familiar examples, and gradually moving into more abstract and general topics. Chapters 1–4 provide historical background and treat fundamental special cases, including Poisson processes, stationary processes on the line, and renewal processes. Chapters 6–14 develop aspects of the general theory, with a focus on the language of metric spaces and the use of measure theory.
The book includes appendices that collect key results from measure theory and the theory of measures on metric spaces, making it accessible to applied workers who wish to understand the main ideas of the general theory without becoming experts in these fields. The text is written in a style inspired by Feller, with a focus on motivating and illustrating the general theory through a range of examples, some didactic and others drawn from real applications. The book also includes a variety of exercises that extend or apply the theory and examples developed in the main text.
The authors acknowledge their indebtedness to many persons and institutions, particularly those who have contributed to the development of point process theory over the last two decades. The book is structured to provide a thorough understanding of point process theory, with a focus on both theoretical foundations and practical applications. It includes a detailed discussion of convergence concepts, limit theorems, stationary point processes, spectral theory, and Palm theory, among other topics. The book is a valuable resource for researchers and students in statistics and related fields.