Parametric Statistical Inference
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Product details:
- Publisher OUP Oxford
- Date of Publication 9 May 1996
- ISBN 9780198523598
- Binding Hardback
- No. of pages512 pages
- Size 240x161x33 mm
- Weight 883 g
- Language English
- Illustrations line figures, tables 0
Categories
Short description:
Two central unifying components of statistics are the likelihood function and the exponential family. These are here brought together for the first time as the central themes of a book on statistical inference, appropriate as an advanced undergraduate or graduate text in mathematical statistics.
MoreLong description:
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 first time as the central themes of a book on statistical inference. This book is appropriate as an advanced undergraduate or graduate text in mathematical statistics.
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.
Table of Contents:
Part 1: Model Building
Model building
Exponential family
Part 2: Inference
Likelihood
Goodness of it
Part 3: Approximations
Asymptotics
Factoring the likelihood function
Part 4: Decisions
Frequentist decision-making
Bayesian decision-making
Part 5: Examples
Poisson regression
Binomial regression
Part 6: Appendices
A Elements of measure theory
B Review of probability theory
C Normal distribution statistics
D Numerical methods
Bibliography
Index
