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CORRELATION AND DEPENDENCE
by Dominique Drouet Mari (Université de Bretagne Sud, France) & Samuel Kotz (George Washington University, USA)
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
- Farlie–Gumbel–Morgenstern 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.
"... it should be on the shelf of any statistician who must deal with dependence."
"The monograph should be useful to any person who does research in the area of dependence, and to any person who may wish to correctly apply positive dependence notions and orderings in practice."
| 236pp |
Pub. date: Apr 2001 |
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