192 Pages
    by Chapman & Hall

    Statistics is a subject with a vast field of application, involving problems which vary widely in their character and complexity.However, in tackling these, we use a relatively small core of central ideas and methods. This book attempts to concentrateattention on these ideas: they are placed in a general settingand illustrated by relatively simple examples, avoidingwherever possible the extraneous difficulties of complicatedmathematical manipulation.In order to compress the central body of ideas into a smallvolume, it is necessary to assume a fair degree of mathematicalsophistication on the part of the reader, and the book is intendedfor students of mathematics who are already accustomed tothinking in rather general terms about spaces and functions

    Preface, 1: Introduction, 2: Minimum-Variance Unbiased Estimation, 3: The Method of Least Squares, 4: The Method of Maximum Likelihood, 5: Confidence Sets, 6: Hypothesis Testing, 7: The Likelihood-Ratio Test and Alternative ‘Large-Sample’ Equivalents of it, 8: Sequential Tests, 9: Non-Parametric Methods, 10: The Bayesian Approach, 11: An Introduction to Decision Theory, Appendix A Some Matrix Results, Appendix B The Linear Hypothesis, References, Index


    S.D. Silvey

    "...by far the best book on its topic."
    -International Statistical Reveiw