This book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. The respective papers reflect the continuing appeal of distribution theory and the lively interest in this classic field, which owes much of its expansion since the 1960s to Professor Masaaki Sibuya, to whom this book is dedicated. The topics addressed include a test procedure for discriminating the (multivariate) Ewens distribution from the Pitman Sampling Formula, approximation to the length of the Ewens distribution by discrete distributions and the normal distribution, and the distribution of the number of levels in [s]-specified random permutations. Also included are distributions associated with orthogonal polynomials with a symmetric matrix argument and the characterization of the Jeffreys prior.

This book presents the state of the art in extreme value theory, with a collection of articles related to a seminal paper on the bivariate extreme value distribution written by Professor Masaaki Sibuya in 1960, demonstrating various developments of the original idea over the last half-century. Written by active researchers, the unique combination of articles allows readers to gain a sense of the excellence of the field, ranging from theory to practice, and the tradition of theoretical developments motivated by practically important issues such as tsunamis and financial crises. The contributions discuss a range of topics, including the parameter estimation of the generalized beta distribution, resampling with the empirical beta copula, and regression analysis on imbalanced binary data, as well as the semiparametric estimation of the upper bound of extrema, the long-term analysis of extreme precipitation over Japanese river basins, and various rules of thumb in hydrology.

Production and Distribution Theories became a landmark in the study of economics when it was published in 1941. Nobel Laureate Stigler's book was the first to trace the development of theories alongside the history of economic thought. Stigler's pioneering effort remains a classic work on the evolution of distribution theory during a critical juncture in the development of modern industrial capitalism. Stigler examines the writings of major economists during the century, including William Stanley Jevons, Phillip Wicksteed, Alfred Marshall, F.Y. Edgeworth, and Leon Walras. He uses their works in order to show a variety of perspectives on distribution theory. Among the methods of thought he explores are neoclassical price theory and marginal productivity theory. In the new introduction, Douglas Irwin illustrates how this book came into being and notes its continuing significance to the study of economics. Joseph Schumpeter commented in his History of Economic Analysis that "this excellent work by a competent theorist is perhaps the best survey in existence of the theoretical work of that period's leaders and is strongly recommended." This judgment still stands. The book will be of great interest to those interested not only in neoclassical economics, but also in the sources of Stigler's economic thought.

Production and Distribution Theories became a landmark in the study of economics when it was published in 1941. Nobel Laureate Stigler's book was the first to trace the development of theories alongside the history of economic thought. Stigler's pioneering effort remains a classic work on the evolution of distribution theory during a critical juncture in the development of modern industrial capitalism.Stigler examines the writings of major economists during the century, including William Stanley Jevons, Phillip Wicksteed, Alfred Marshall, F.Y. Edgeworth, and Leon Walras. He uses their works in order to show a variety of perspectives on distribution theory. Among the methods of thought he explores are neoclassical price theory and marginal productivity theory.In the new introduction, Douglas Irwin illustrates how this book came into being and notes its continuing significance to the study of economics. Joseph Schumpeter commented in his History of Economic Analysis that this excellent work by a competent theorist is perhaps the best survey in existence of the theoretical work of that period's leaders and is strongly recommended. This judgment still stands. The book will be of great interest to those interested not only in neoclassical economics, but also in the sources of Stigler's economic thought.