An introduction to copulas

書誌事項

An introduction to copulas

Roger B. Nelsen

(Lecture notes in statistics, 139)

Springer, c1999

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注記

Includes bibliographical references (p. [201]-209) and index

内容説明・目次

内容説明

Copulas are functions that join multivariate distribution functions to their one dimensional margins. The study of copulas and their role in statistics is a new but vigorously growing field. In this book, the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions. There are nearly a hundred examples and over 150 exercises.

目次

Introduction and History.- Definitions and Basic Properties.- Families of Copulas.- Archimedean Copulas.- Dependence Concepts, Orderings, and Measures.- Markov Processes.

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