Marshall Olkin Distributions - Advances in Theory and Applications

1. Front Matter

   Pages i-xv

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2. A Survey of Dynamic Representations and Generalizations of the Marshall–Olkin Distribution

   • German Bernhart, Lexuri Fernández, Jan-Frederik Mai, Steffen Schenk, Matthias Scherer

   Pages 1-13

3. Copulas Based on Marshall–Olkin Machinery

   • Fabrizio Durante, Stéphane Girard, Gildas Mazo

   Pages 15-31

4. The Mean of Marshall–Olkin-Dependent Exponential Random Variables

   • Lexuri Fernández, Jan-Frederik Mai, Matthias Scherer

   Pages 33-50

5. General Marshall–Olkin Models, Dependence Orders, and Comparisons of Environmental Processes

   • Esther Frostig, Franco Pellerey

   Pages 51-64

6. Marshall–Olkin Machinery and Power Mixing: The Mixed Generalized Marshall–Olkin Distribution

   • Sabrina Mulinacci

   Pages 65-86

7. Extended Marshall–Olkin Model and Its Dual Version

   • Jayme Pinto, Nikolai Kolev

   Pages 87-113

This book presents the latest advances in the theory and practice of Marshall-Olkin distributions. These distributions have been increasingly applied in statistical practice in recent years, as they make it possible to describe interesting features of stochastic models like non-exchangeability, tail dependencies and the presence of a singular component. The book presents cutting-edge contributions in this research area, with a particular emphasis on financial and economic applications. It is recommended for researchers working in applied probability and statistics, as well as for practitioners interested in the use of stochastic models in economics. This volume collects selected contributions from the conference “Marshall-Olkin Distributions: Advances in Theory and Applications,” held in Bologna on October 2-3, 2013.

• Copulas
• Credit Risk
• Marshall-Olkin Distribution
• Quantitative Risk Management
• Tail Dependence

• Department of Statistics, University of Bologna, Bologna, Italy

  Umberto Cherubini

• Free University of Bozen-Bolzano, Faculty of Economics and Management, Bolzano, Italy

  Fabrizio Durante

• University of Bologna, Department of Statistics, Bologna, Italy

  Sabrina Mulinacci

Umberto Cherubini is an Associate Professor of Financial Mathematics at the University of Bologna. He is member of the scientific committee of AIFIRM, the Italian Association of Financial Risk Managers, and of ABI Formazione, the education branch of the Italian Banking Association. He has been consulting and teaching in the field of finance and risk management, with particular focus on multivariate products and dependence, for more than ten years. Before joining the academia, he worked at the Economic Research Department of BCI (COMIT), an Italian bank, where he directed the Forecasting and Risk Measurement Methods Unit. He has published papers in finance and economics in international journasl and six books on topics of risk management and financial mathematics.

Fabrizio Durante is an Associate Professor for Statistics at the Faculty of Economics and Management of the Free University of Bozen-Bolzano (UNIBZ), Italy. He studied at the University of Lecce, Italy, where he has obtained his doctoral degree in Mathematics. Before joining FUB, he was also working at the Johannes Kepler University Linz, Austria, where he has obtained the habilitation in Mathematics in 2010.  His research activities focus on the fields of dependence and copula models, with particular emphasis on applications in financial risk management, reliability theory, and environmental science (especially hydrology). He co-edited two books devoted to copula theory and its applications published by Springer. Moreover, he has organized several international events and special sessions about dependence models in the recent years. Currently, he is associate editor of the journal “Computational Statistics and Data Analysis" and “Dependence Modeling".

Sabrina Mulinacci is an Associate Professor of Mathematical Methods for Economics and Finance at the Department of Statistics at the University of Bologna. She obtained her PhD inmathematics at the University of Pisa and she has been Associate Professor at the Catholic University of Milan.  Her main research interests focus on probability theory and mathematical finance.

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