Distribution Theory Vol. 1

This updated fifth edition signifies the most extensive rewriting of Sir Maurice Kendall's original work since its first appearance in three volumes in 1958. Known throughout the field as the definitive source book of statistical theory, this edition contains thoroughly revised text and modernized terminology. Chapters five and six, the central chapters on distribution, have been greatly expanded and feature new tables and diagrams to emphasize the relations between different systems. Chapters seven and eight give an updated presentation of probability theory, and chapter nine includes an extensive new treatment of the use of computers in statistics. Other theoretical treatments throughout the book include coverage of important topics in current research such as smoothing, kernel estimators, density estimators, the exponential family, saddlepoint approximations, and fractional and negative movements. In its scope and authority, the fifth edition of Kendall's Advanced Theory of Statistics constitutes a major achievement of mathematical scholarship and continues to be a vital and timely resource for students and statisticians.Stuart, Alan is the author of 'Distribution Theory Vol. 1', published 1987 under ISBN 9780195205619 and ISBN 0195205618.