A First Course Mathematical Statistics [Paperback]

This book provides the mathematical foundations of statistics.This book provides the mathematical foundations of statistics. Its aim is to explain the principles, to prove the formulae to give validity to the methods employed in the interpretation of statistical data. Many examples are included but, since the primary emphasis is on the underlying theory, it is of interest to students of a wide variety of subjectsThis book provides the mathematical foundations of statistics. Its aim is to explain the principles, to prove the formulae to give validity to the methods employed in the interpretation of statistical data. Many examples are included but, since the primary emphasis is on the underlying theory, it is of interest to students of a wide variety of subjectsThis book provides the mathematical foundations of statistics. Its aim is to explain the principles, to prove the formulae to give validity to the methods employed in the interpretation of statistical data. Many examples are included but, since the primary emphasis is on the underlying theory, it is of interest to students of a wide variety of subjects: biology, psychology, agriculture, economics, physics, chemistry, and (of course) mathematics.Preface; 1. Frequency distributions; 2. Probability and probability distributions; 3. Some standard distributions; 4. Bivariate distributions, regression and correlation; 5. Further correlation theory, curved regression lines; 6. Theory of simple sampling; 7. Standard errors of statistics; 8. Beta and gamma distributions; 9. Chi-square and some applications; 10. Further tests of significance, small samples; 11. Analysis of variance and covariance; 12. Multivariate distributions, partial and multiple correlations; Tables.Review of the hardback: 'Weatherburn's book is excellent&Its great virtue is its compactness of argument, which facilitates seeing the whole.' NatureReview of the hardback: 'A very useful reference book and an excellent text&will be of much aid to both stlS’