Fills a gap in book literature
Examines many new Lagrangian probability distributions and their applications to a variety of different fields
Presents background mathematical and statistical formulas for easy reference
Detailed bibliography and index
Exercises in many chapters
May be used as a reference text or in graduate courses and seminars on Distribution Theory and Lagrangian Distributions
From the reviews:
"The book is the first comprehensive presentation of the theory of distributions which are derived and/or closely connected with Lagrange expansions. It gives an overview of the research on this topic published during the last thirty-five years. The text is illustrated with many surprising examples. The book can be recommended for both applied and theoretical statistics." Mathematical Reviews
"The purpose of this book is to collect most of the research materials in the various journals during the last thirtyfive years and to give a reasonable and systematic account of the class of Lagrangian distributions and some of their properties and applications. it is meant for graduate students and researchers who have knowledge of standard statistical techniques. Every chapter are supplied with exercises. The list of references contains 252 positions. The volume of the book is over 350 pages." (Nijole Kalinauskaite, Zentralblatt MATH, Vol. 1101 (3), 2007)
The book acquaints researchers and graduate students with good mathematical, probabilistic and statistical knowledge, with the present-day stage of the theory of distributions derived from and/or closely connected with Lagrange expansions. The authors are leading persons in the field. They collected most of the results published in various journals during the last forty years and their work can be considered a textbook for advanced courses and seminars in theoretical and/or applied statistics. (Gejza Wimmer, Applications of Mathematics, Vol. 56 (6), 2011)