Fractals and Scaling in Finance: Discontinuity, Concentration, Risk. Selecta Volume E

ISBN-13: 9780387983639 / Angielski / Twarda / 1997 / 551 str.

Benoit B. Mandelbrot; R. E. Gomory

Opis

Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.

Recenzje

From the reviews
"Mandelbrot writes with economy and felicity, and he interperses the more mathematical sections with frank historical anecdotes ... All in all, this is a strange but wonderful book." (PHYSICS TODAY)

Statistical Papers, 2000: "... this is a most useful collection of Mandelbrot's work economics, it provides an excellent starting point for anybody interested in the origin of many current topics in empirical finance or the distribution of income."

Spis treści

List of Chapters.- El Introduction (1996).- E2 Discontinuity and scaling: scope and likely limitations (1996).- E3 New methods in statistical economics (M 1963e).- E4 Sources of inspiration and historical background (1996).- E5 States of randomness from mild to wild, and concentration in the short, medium and long run (1996).- E6 Self-similarity and panorama of self-affinity (1996).- E7 Rank-size plots, Zipf’s law, and scaling (1996).- E8 Proportional growth with or without diffusion, and other explanations of scaling (1996). • Appendices (M 1964o, M 1974d).- E9 A case against the lognormal distribution (1996).- E10 L-stable model for the distribution of income (M 1960i). • Appendices (M 1963i, M 1963j).- E11 L-stability and multiplicative variation of income (M 1961e).- E12 Scaling distributions and income maximization (M 1962q).- E13 Industrial concentration and scaling (1996).- E14 The variation of certain speculative prices (M 1963b). • Appendices (Fama & Blume 1966, M 1972b, M 1982c).- E15 The variation of the price of cotton, wheat, and railroad stocks, and of some financial rates (M 1967j).- E16 Mandelbrot on price variation (Fama 1963).- E17 Comments by P. H. Cootner, E. Parzen & W. S. Morris (1960s), and responses (1996).- E18 Computation of the L-stable distributions (1996).- E19 Nonlinear forecasts, rational bubbles, and martingales (M 1966b).- E20 Limitations of efficiency and martingales (M 1971e).- E21 Self-affine variation in fractal time (M & Taylor 1967, M 1973c).- Cumulative Bibliography.

O autorze

Benoit B. Mandelbrot, geb. 1924 in Warschau, arbeitete als Mathematiker lange Zeit bei IBM, ist Honorarprofessor an der Yale University und Erfinder der fraktalen Geometrie. Mandelbrot lebt in Scarsdale, New York.