ABSTRACT

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

chapter 1|8 pages

Introduction

chapter 2|25 pages

Minimum-Variance Unbiased Estimation

chapter 3|22 pages

The Method of Least Squares

chapter 4|19 pages

The Method of Maximum Likelihood

chapter 5|7 pages

Confidence Sets

chapter 6|14 pages

Hypothesis Testing

chapter 8|16 pages

Sequential Tests

chapter 9|14 pages

Non-Parametric Methods

chapter 10|8 pages

The Bayesian Approach

chapter 11|15 pages

An Introduction to Decision Theory