Lindgren B. Statistical Theory 4ed 2017

Textbook in PDF format

This classic textbook is suitable for a first course in the theory of statistics for students with a background in calculus, multivariate calculus, and the elements of matrix algebra.
Preface.
Preliminaries.
Probability.
Random Variables.
Expectations.
Limit Theorems.
Some Parametric Families.
Sampling and the Reduction of Data.
Estimation.
Testing of Hypotheses.
Analysis of Categorical Data.
Sequential Analysis.
Multivariate Distributions.
Nonparametric Tests.
Linear Models and Analysis of Variance.
Decision Theory.
Tables.
References and Further Reading.
Answers to Problems.
Index