Inference and Asymptotics

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Inference and Asymptotics by D.R. Cox, CRC Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: D.R. Cox ISBN: 9781351438551
Publisher: CRC Press Publication: October 19, 2017
Imprint: Routledge Language: English
Author: D.R. Cox
ISBN: 9781351438551
Publisher: CRC Press
Publication: October 19, 2017
Imprint: Routledge
Language: English

Our book Asymptotic Techniquesfor Use in Statistics was originally planned as an account of asymptotic statistical theory, but by the time we had completed the mathematical preliminaries it seemed best to publish these separately. The present book, although largely self-contained, takes up the original theme and gives a systematic account of some recent developments in asymptotic parametric inference from a likelihood-based perspective. Chapters 1-4 are relatively elementary and provide first a review of key concepts such as likelihood, sufficiency, conditionality, ancillarity, exponential families and transformation models. Then first-order asymptotic theory is set out, followed by a discussion of the need for higher-order theory. This is then developed in some generality in Chapters 5-8. A final chapter deals briefly with some more specialized issues. The discussion emphasizes concepts and techniques rather than precise mathematical verifications with full attention to regularity conditions and, especially in the less technical chapters, draws quite heavily on illustrative examples. Each chapter ends with outline further results and exercises and with bibliographic notes. Many parts of the field discussed in this book are undergoing rapid further development, and in those parts the book therefore in some respects has more the flavour of a progress report than an exposition of a largely completed theory.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Our book Asymptotic Techniquesfor Use in Statistics was originally planned as an account of asymptotic statistical theory, but by the time we had completed the mathematical preliminaries it seemed best to publish these separately. The present book, although largely self-contained, takes up the original theme and gives a systematic account of some recent developments in asymptotic parametric inference from a likelihood-based perspective. Chapters 1-4 are relatively elementary and provide first a review of key concepts such as likelihood, sufficiency, conditionality, ancillarity, exponential families and transformation models. Then first-order asymptotic theory is set out, followed by a discussion of the need for higher-order theory. This is then developed in some generality in Chapters 5-8. A final chapter deals briefly with some more specialized issues. The discussion emphasizes concepts and techniques rather than precise mathematical verifications with full attention to regularity conditions and, especially in the less technical chapters, draws quite heavily on illustrative examples. Each chapter ends with outline further results and exercises and with bibliographic notes. Many parts of the field discussed in this book are undergoing rapid further development, and in those parts the book therefore in some respects has more the flavour of a progress report than an exposition of a largely completed theory.

More books from CRC Press

Cover of the book Mechanical Design of Machine Components by D.R. Cox
Cover of the book Soil Management and Greenhouse Effect by D.R. Cox
Cover of the book Rock Slope Engineering by D.R. Cox
Cover of the book Catalysis of Organic Reactions by D.R. Cox
Cover of the book Mathematica Beyond Mathematics by D.R. Cox
Cover of the book Find Your Way Around JCT 98 by D.R. Cox
Cover of the book The Entrepreneurial Project Manager by D.R. Cox
Cover of the book Dental Practice Health Check by D.R. Cox
Cover of the book Hazardous Building Materials by D.R. Cox
Cover of the book General Practice Today by D.R. Cox
Cover of the book Fundamentals of Multisite Radar Systems by D.R. Cox
Cover of the book Practical Guide to Inspection, Testing and Certification of Electrical Installations, 5th ed by D.R. Cox
Cover of the book The Material Point Method for Geotechnical Engineering by D.R. Cox
Cover of the book Fascial Anatomy of the Equine Forelimb by D.R. Cox
Cover of the book Engineering Technologies by D.R. Cox
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy