Convolution Copula Econometrics

1. Front Matter

   Pages i-x

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2. The Dynamics of Economic Variables

   • Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci

   Pages 1-17

3. Estimation of Copula Models

   • Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci

   Pages 19-42

4. Copulas and Estimation of Markov Processes

   • Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci

   Pages 43-59

5. Convolution-Based Processes

   • Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci

   Pages 61-78

6. Application to Interest Rates

   • Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci

   Pages 79-90

This book presents a novel approach to time series econometrics, which studies the behavior of nonlinear stochastic processes. This approach allows for an arbitrary dependence structure in the increments and provides a generalization with respect to the standard linear independent increments assumption of classical time series models. The book offers a solution to the problem of a general semiparametric approach, which is given by a concept called C-convolution (convolution of dependent variables), and the corresponding theory of convolution-based copulas. Intended for econometrics and statistics scholars with a special interest in time series analysis and copula functions (or other nonparametric approaches), the book is also useful for doctoral students with a basic knowledge of copula functions wanting to learn about the latest research developments in the field. 

• 62M05, 60G99
• copula functions
• convolution-based process
• time series analysis
• stochastic processes
• long memory time series
• econometrics
• interest rates
• autoregressive process
• Markov process

“The goal of the book is to gather the main concepts of copula function theory that can be applied to the analysis of time series (so-called convolution-based copulas), and some new ideas, linked to copulas, such as estimation of copula-based Markov processes. … The book will be useful for the researchers working in econometrics, interest rate, Markov processes and copulas fields.” (Anatoliy Swishchuk, zbMATH 1360.62006, 2017)

• University of Bologna, Bologna, Italy

  Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci

Umberto Cherubini is Associate professor of Financial Mathematics at the University of Bologna, where he heads the graduate program in Quantitative Finance. He is fellow of the Financial Econometrics Research Center (FERC), a member of the Scientific Committees of Abiformazione – the professional education arm of the Italian Banking Association, and AIFIRM – the Italian Association of Financial Risk Managers. He has been consulting and teaching in the field of finance and risk management for almost twenty years. Before joining academia he worked as an economist at the Economic Research Department of BCI Milan. He has published papers on finance and economics in international journals, and is a co-author of seven books on topics of risk management and financial mathematics, with special focus on the copula function technique.    

Fabio Gobbi is a post-doctoral researcher at the University of Bologna. He has a PhD in Statistics from the University of Florence and his area of research focuses on probability and financial econometrics. He is a co-author (with Umberto Cherubini and Sabrina Mulinacci) of the recent book Dynamic Copula Methods in Finance, the first book to introduce the theory of convolution-based copulas and the concept of C-convolution within the mainstream of the Darsow, Nguyen and Olsen (DNO) application of copulas to Markov processes. 

Sabrina Mulinacci is Associate Professor of Mathematical Methods for Economics and Finance at the University of Bologna. Prior to this, Sabrina was Associate Professor of Mathematical Methods for Economics and Actuarial Sciences at the Catholic University of Milan. She has a PhD in Mathematics from the University of Pisa and has published a number of research papers in international journals on probability and mathematical finance.

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