# Asymptotic Methods in Statistical Decision Theory

• Lucien Le Cam
Book

Part of the Springer Series in Statistics book series (SSS)

1. Front Matter
Pages i-xxvi
2. Lucien Le Cam
Pages 1-15
3. Lucien Le Cam
Pages 16-28
4. Lucien Le Cam
Pages 29-45
5. Lucien Le Cam
Pages 46-56
6. Lucien Le Cam
Pages 57-80
7. Lucien Le Cam
Pages 81-95
8. Lucien Le Cam
Pages 96-117
9. Lucien Le Cam
Pages 118-153
10. Lucien Le Cam
Pages 154-171
11. Lucien Le Cam
Pages 172-205
12. Lucien Le Cam
Pages 206-323
13. Lucien Le Cam
Pages 324-345
14. Lucien Le Cam
Pages 346-369
15. Lucien Le Cam
Pages 370-398
16. Lucien Le Cam
Pages 399-456
17. Lucien Le Cam
Pages 457-554
18. Lucien Le Cam
Pages 555-633
19. Back Matter
Pages 634-742

### Introduction

This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos­ sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. Very few mathematical objects are used; their assumed properties are simple; the results are almost always immediate consequences of the definitions. Some objects, such as vector lattices, may not have been included in the standard background of a student of statistics. For these we have provided a summary of relevant facts in the Appendix. The basic structures in the whole affair are systems that Blackwell called "experiments" and "transitions" between them. An "experiment" is a mathe­ matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation. Typically, an experiment consists of a set E> of theories about what may happen in the observational process.

### Keywords

Likelihood Random variable Variance decision theory statistics

#### Authors and affiliations

• Lucien Le Cam
• 1
1. 1.Department of StatisticsUniversity of CaliforniaBerkeleyUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-4946-7
• Copyright Information Springer-Verlag New York 1986
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-9369-9
• Online ISBN 978-1-4612-4946-7
• Series Print ISSN 0172-7397
• Buy this book on publisher's site
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