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 Feynman And Computation by D.R. Cox
Cover of the book National Taxation for Property Management and Valuation by D.R. Cox
Cover of the book Shaping the Future of ICT by D.R. Cox
Cover of the book Drainage Details by D.R. Cox
Cover of the book An Invitation to Knot Theory by D.R. Cox
Cover of the book Broadband RF and Microwave Amplifiers by D.R. Cox
Cover of the book International Directory of Building Research Information and Development Organizations by D.R. Cox
Cover of the book E.coli by D.R. Cox
Cover of the book Laser Safety by D.R. Cox
Cover of the book Metal Contaminated Aquatic Sediments by D.R. Cox
Cover of the book Use Of Fungi As Food by D.R. Cox
Cover of the book Reinforced and Prestressed Concrete by D.R. Cox
Cover of the book Fish Morphology by D.R. Cox
Cover of the book Human Sectional Anatomy by D.R. Cox
Cover of the book BIM and Quantity Surveying 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