Correlation And Dependence

Download or read book Correlation and Dependence written by Mari Dominique Drouet Kotz Samuel and published by World Scientific. This book was released on 2001 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to be cited individually. Moreover, the dependence is obviously not deterministic but of a stochastic nature. However, it seems that none of the departments of statistics, engineering, economics and mathematics in the academic institutions throughout the world offer courses dealing with dependence concepts and measures . This book can thus be viewed as an attempt to remedy the situation, and it has been written for a graduate course or a seminar on correlation and dependence concepts and measures . A modest background in mathematical statistics and probability and integral calculus is required. The book is not a full-scale expedition up another statistical Alp. Rather, it is a tour over a somewhat neglected but important terrain. The chapter on correlation is written for a layman. Contents: Notations and Definitions; Correlation and Dependence: An Introspection; Concepts of Dependence and Stochastic Ordering; Copulas; FarlieOCoGumbelOCoMorgenstern Models of Dependence; Global Versus Local Dependence between Random Variables. Readership: Researchers and practitioners in the field of applied probability, statistics, biostatistics, industrial engineering and reliability."