Stochastic Orders
Stochastic Orders
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DOI:
10.1198/tech.2008.s910
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发表时间:
2008-08
期刊:
影响因子:
2.5
通讯作者:
中科院分区:
文献类型:
--
作者:
have seen rapid development of SEM methodology dealing with, for example, nonlinear terms, multiple levels, mixtures, and so on. This book presents the state-of-the-art SEMs from mainly a Bayesian viewpoint. The author aims to introduce a Bayesian approach for developing efficient and rigorous statistical methodologies in SEMs and applying them to practical problems. The book is intended to serve as a reference for researchers and a textbook for graduate students in several disciplines. The book has several attractive features. The presentation is lucid and clear, the discussion of various topics in SEM is thorough and up to date, and an expert interweaving of theory and examples in each topic make the book a pleasure to read and learn from. The variety of topics and the depth to which they are covered and referenced makes this an extremely useful resource for research in any topic relating to SEMs. As the author remarks, “it is very common in practice to encounter ordered categorical data with missing data, hierarchical data and/or heterogeneous data, and hence developments of sound statistical methods to cope with such practical situations are useful.” It is clear throughout the book that “sound statistical methods” have been topmost in the author’s mind. The standard SEMs based on normality assumption and computer software implementing such SEMs have limited capabilities and are inadequate for analyzing complex data sets. Thus the Bayesian development presented in this book should be attractive to any serious researcher using SEMs. After the introductory chapter, Chapter 2 presents some basic SEMs and provides a gentle introduction to the subject matter. Chapter 3 is an off-beat chapter that provides rigorous technical detail about some non-Bayesian methods of SEM. This is a welcome development, because necessary rigor often is sidestepped in application-oriented texts. Chapters 4 and 5 introduce the reader to the Bayesian viewpoint of SEMs. The remaining chapters discuss different frameworks for SEM and their analysis. This book is a welcome addition to any library and should be a valuable resource for research and teaching.