Robert, Christian Bayesian statistical analysis. (L’analyse statistique Bayésienne.) (French) Zbl 0827.62006 Paris: Éd. Économica. 393 p. (1992). The book is divided into 10 chapters besides two appendices, bibliography, list of notations, author index and subject index. Contents: Ch. 1: Introduction. Ch. 2: Statistical inference: Decision theory approach. Ch. 3: Prior information and prior distributions. Ch. 4: Bayesian estimation. Ch. 5. Tests and confidence regions. Ch. 6: Complete and admissible classes. Ch. 7: Invariance, Haar measures and equivariant estimators. Ch. 8: Hierarchical and empirical extensions. Ch. 9: Bayesian calculations. Ch. 10: Conclusions. The material in Chapters 6, 7 and 8 is quite advanced. Each chapter contains a number of unsolved exercises. The book can be used in parts for an elementary or advanced course on decision theory. Reviewer: V.P.Gupta (Jaipur) Cited in 1 ReviewCited in 2 Documents MSC: 62C10 Bayesian problems; characterization of Bayes procedures 62F15 Bayesian inference 62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics 62C07 Complete class results in statistical decision theory 62C15 Admissibility in statistical decision theory 62A01 Foundations and philosophical topics in statistics Keywords:Haar measure; hierarchical procedures; empirical procedures; prior information; tests; invariance; prior distributions; Bayesian estimation; confidence regions; equivariant estimators; exercises PDFBibTeX XMLCite \textit{C. Robert}, L'analyse statistique Bayésienne. Paris: Éd. Économica (1992; Zbl 0827.62006)