Books > Business & Economics > Business & management
|
Buy Now
On Copula Density Estimation and Measures of Multivariate Association (Paperback)
Loot Price: R1,638
Discovery Miles 16 380
You Save: R110
(6%)
|
|
On Copula Density Estimation and Measures of Multivariate Association (Paperback)
Expected to ship within 10 - 15 working days
|
Measuring the degree of association between random variables is a
task inherent in many practical applications such as risk
management and financial modeling. Well-known measures like
Spearman's rho and Kendall's tau can be expressed in terms of the
underlying copula only, hence, being independent of the underlying
univariate marginal distributions. Opposed to these classical
measures of association, mutual information, which is derived from
information theory, constitutes a fundamentally different approach
of measuring association. Although this measure is likewise
independent of the univariate margins, it is not a functional of
the copula but of the corresponding copula density. Besides the
theoretical properties of mutual information as a measure of
multivariate association, possibilities to estimate the copula
density based on observations of continuous distributions are
investigated. To cope with the effect of boundary bias, new
estimators are introduced and existing functionals are generalized
to the multivariate case. The performance of these estimators is
evaluated in comparison to common kernel density estimation
schemes. To facilitate variance estimation by means of resampling
methods like bootstrapping, an algorithm is introduced, which
significantly reduces computation time in comparison with
pre-implemented algorithms. In practical applications, complete
continuous data is oftentimes not available to the analyst.
Instead, categorial data derived from the underlying continuous
distribution may be given. Hence, estimation of the copula and its
density based on contingency tables is investigated. The newly
developed estimators are employed to derive estimates of Spearman's
rho and Kendall's tau and their performance is compared.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.