eBook - ePub

A Course in the Large Sample Theory of Statistical Inference

Name: A Course in the Large Sample Theory of Statistical Inference
ISBN: 9781498726115

W. Jackson Hall,

David Oakes,

English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

A Course in the Large Sample Theory of Statistical Inference

W. Jackson Hall,

David Oakes,

About this book

This book provides an accessible but rigorous introduction to asymptotic theory in parametric statistical models. Asymptotic results for estimation and testing are derived using the "moving alternative" formulation due to R. A. Fisher and L. Le Cam. Later chapters include discussions of linear rank statistics and of chi-squared tests for contingency table analysis, including situations where parameters are estimated from the complete ungrouped data. This book is based on lecture notes prepared by the first author, subsequently edited, expanded and updated by the second author.

Key features:

Succinct account of the concept of "asymptotic linearity" and its uses
Simplified derivations of the major results, under an assumption of joint asymptotic normality
Inclusion of numerical illustrations, practical examples and advice
Highlighting some unexpected consequences of the theory
Large number of exercises, many with hints to solutions

Some facility with linear algebra and with real analysis including 'epsilon-delta' arguments is required. Concepts and results from measure theory are explained when used. Familiarity with undergraduate probability and statistics including basic concepts of estimation and hypothesis testing is necessary, and experience with applying these concepts to data analysis would be very helpful.

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Yes, you can access A Course in the Large Sample Theory of Statistical Inference by W. Jackson Hall,David Oakes in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.