Parametric Statistical Inference

Hardcover | April 30, 1999

byJ. K. Lindsey

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Inference involves drawing conclusions about some general phenomenon from limited empirical observations in the face of random variability. Two central unifying components of statistics are the likelihood function and the exponential family. These are here brought together for the firsttime as the central themes of a book on statistical inference. This book is appropriate as an advanced undergraduate or graduate text in mathematical statistics.

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Inference involves drawing conclusions about some general phenomenon from limited empirical observations in the face of random variability. Two central unifying components of statistics are the likelihood function and the exponential family. These are here brought together for the firsttime as the central themes of a book on statist...

J. K. Lindsey is at University of Liege.

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Format:HardcoverDimensions:512 pages, 9.21 × 6.14 × 1.3 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198523599

ISBN - 13:9780198523598

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Table of Contents

Part 1: Model Building1. Model building2. Exponential familyPart 2: Inference3. Likelihood4. Goodness of itPart 3: Approximations5. Asymptotics6. Factoring the likelihood functionPart 4: Decisions7. Frequentist decision-making8. Bayesian decision-makingPart 5: Examples9. Poisson regression10. Binomial regressionPart 6: AppendicesA Elements of measure theoryB Review of probability theoryC Normal distribution statisticsD Numerical methodsBibliographyIndex

Editorial Reviews

`The author has written a nice, readable book ... at a level understandable to students. . . I strongly recommend the book for any student or researcher of "Statistical Inference" and also to all (mathematical) statisticians.'Zentrallblat fur Mathematik, vol. 855, 1997