000 a
999 _c29771
_d29771
008 191121b xxu||||| |||| 00| 0 eng d
020 _a9781138630154
082 _a003
_bCRA
100 _aCrane, Harry
245 _aProbabilistic foundations of statistical network analysis
260 _aBoca Raton
_bChapman and Hall/CRC
_c2018
300 _axx, 236 p.
_bill.
_c24 cm.
365 _b38.99
_cGBP
_d93.50
490 _aMonographs on statistics and applied probability
_vv. 157
504 _aIncludes bibliographical references and index.
520 _aProbabilistic Foundations of Statistical Network Analysis presents a fresh and insightful perspective on the fundamental tenets and major challenges of modern network analysis. Its lucid exposition provides necessary background for understanding the essential ideas behind exchangeable and dynamic network models, network sampling, and network statistics such as sparsity and power law, all of which play a central role in contemporary data science and machine learning applications. The book rewards readers with a clear and intuitive understanding of the subtle interplay between basic principles of statistical inference, empirical properties of network data, and technical concepts from probability theory. Its mathematically rigorous, yet non-technical, exposition makes the book accessible to professional data scientists, statisticians, and computer scientists as well as practitioners and researchers in substantive fields. Newcomers and non-quantitative researchers will find its conceptual approach invaluable for developing intuition about technical ideas from statistics and probability, while experts and graduate students will find the book a handy reference for a wide range of new topics, including edge exchangeability, relative exchangeability, graphon and graphex models, and graph-valued Levy process and rewiring models for dynamic networks. The author's incisive commentary supplements these core concepts, challenging the reader to push beyond the current limitations of this emerging discipline. With an approachable exposition and more than 50 open research problems and exercises with solutions, this book is ideal for advanced undergraduate and graduate students interested in modern network analysis, data science, machine learning, and statistics.
650 _aStatistical methods
650 _aNetwork analysis
650 _aSystem analysis
650 _aMathematical models
650 _aProbabilities
942 _2ddc
_cBK