Date of Award

2019-01-01

Degree Name

Master of Science

Department

Computational Science

Advisor(s)

Ori . Rosen

Abstract

Copulas are widely used to model the dependency structure among components of multi- variate data sets. Elliptical copulas, such as Gaussian copula, are most popular copulas being used since many data sets follow elliptical distributions or meta-elliptical distribu- tions (Fang et al. (2002)). However, today's approaches and software packages require us to assume the specific category, such as Gaussian or Student's T, of the elliptical cop- ula before estimating it. In this Thesis, we will propose a Bayesian method using Markov chain Monte Carlo (MCMC) methods to estimate the density function of elliptical copulas without specifying it is the copula of Gaussian, Student's T or Logistic, etc.

Language

en

Provenance

Received from ProQuest

File Size

51 pages

File Format

application/pdf

Rights Holder

Panfeng Liang

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