Fundamentals of statistics: volume one/ A.M. Goon, M.K. Gupta and B. Dasgupta

This book is complete in two volumes.

Includes index

Some useful concepts and results -- Numerical analysis -- Elements of probability theory -- Introduction to statistical methods -- Collection and presentation of data -- Frequency distributions -- Measures of central tendency -- Measures of disperson -- Moments and measures of skewness and kurtosis -- Univariate theoretical distributions -- Joint distributions of attributes -- Bivariate frequency distributions -- Multivariate frequency distributions -- Some other types of correlation -- Random sampling and sampling distributions -- Basic principles of statistical inference -- Exact tests and confidence intervals -- Some further exact procedures -- Approximate tests and confidence intervals -- Non-parametric methods -- Elementary theory of errors -- Statistical tables

This two-volume work on statistical theory (as distinct from statistical methods) aims at acquainting the reader with the mainstream of present-day statistical thinking. Volume one starts with a brief description of measure theory and presents the theory of probability and that of probability distributions within a measure-theoretic framework. The subject of sampling distributions, that follows, is treated in great detail. Limit theorems receive considerably greater attention than they generally do in books of this kind.