Bøger af Thomas Mikosch

Oriental Jazz Improvisation - Microtonality and Harmony is a comprehensive comparative study that explores the incorporation of Turkish, Arabic, and North Indian scales and modes into jazz improvisation and modulation. The book includes a multitude of scales and modes from these music cultures, along with their transpositions. These scales and modes are essential for any musician interested in South-Western Asian or North Indian music. Besides, the book delves into numerous scales and modes from other cultures' folk music, such as Greek rebetiko, Bulgarian wedding music, or Jewish music, highlighting parallels and similarities among these diverse music traditions.Each scale and mode is presented in its purest - microtonal - form, including the exact interval values in the particular tuning used in the classical Turkish, Arabic, or North Indian music tradition. Additionally, the basics of the respective music theories are imparted. Further, the genuine scales and modes are transcribed into the equal temperament and several practical techniques are shown how to apply them in a jazz context.

Empirical process techniques for independent data have been used for many years in statistics and probability theory. These techniques have proved very useful for studying asymptotic properties of parametric as well as non-parametric statistical procedures. Recently, the need to model the dependence structure in data sets from many different subject areas such as finance, insurance, and telecommunications has led to new developments concerning the empirical distribution function and the empirical process for dependent, mostly stationary sequences. This work gives an introduction to this new theory of empirical process techniques, which has so far been scattered in the statistical and probabilistic literature, and surveys the most recent developments in various related fields. Key features: A thorough and comprehensive introduction to the existing theory of empirical process techniques for dependent data * Accessible surveys by leading experts of the most recent developments in various related fields * Examines empirical process techniques for dependent data, useful for studying parametric and non-parametric statistical procedures * Comprehensive bibliographies * An overview of applications in various fields related to empirical processes: e.g., spectral analysis of time-series, the bootstrap for stationary sequences, extreme value theory, and the empirical process for mixing dependent observations, including the case of strong dependence. To date this book is the only comprehensive treatment of the topic in book literature. It is an ideal introductory text that will serve as a reference or resource for classroom use in the areas of statistics, time-series analysis, extreme value theory, point process theory, and applied probability theory. Contributors: P. Ango Nze, M.A. Arcones, I. Berkes, R. Dahlhaus, J. Dedecker, H.G. Dehling,

It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy."

In insurance and finance applications, questions involving extremal events play an important role. This book sets out to bridge the gap between existing theory and practical applications both from a probabilistic as well as statistical point of view.