《Probabilistic foundations of statistical network analysis》

dianzishu

作者: Harry Crane

出版社: Chapman and Hall/CRC

出版年: 2018-4-30

页数: 256

简介：

One of my primary goals in writing this book is to expose readers from a wide range of disciplines to the core statistical ideas underlying network analysis. The book is therefore intended for social scientists and psychologists just as much as it is for professional statisticians and mathematical probabilists. Although understanding the accompanying technical work in  requires a high level of mathematical sophistication, appreciating the conceptual ideas underlying this technical work does not. Because simple concepts too often get lost in mathematical formalism, I have tried to every extent possible to strike the delicate balance between conceptual and technical, in hope that those with the conceptual understanding will grow more accustomed to the technicalities and those with the mathematical training will come to better appreciate the practical motivations. Whether I have succeeded in this mission is not for me to judge, and I welcome the reader’s feedback on how I could have done better.

Realizing that readers might come to these pages with different motivations, I give a brief synopsis of each chapter before beginning the main text. Readers interested in specific network model classes are referred to Chapters 2 and 6–11. Readers interested in invariance principles and exchangeability are referred to Chapters 6–11. Readers interested in time-varying networks and graph-valued stochastic processes are referred to Chapter 11. Readers interested in the philosophical underpinnings of this work are referred to Chapters 1 and 3–5. Together, the framework of Chapter 5 and the discussion in Chapters 1, 9, and 10 capture the essence of the book.