Probabilistic Modeling in Finance and Biology: Limit Theorems and Applications - Brossura

Guyon, Julien

Brossura

ISBN 10: 3838314468 ISBN 13: 9783838314464

Casa editrice: LAP LAMBERT Academic Publishing, 2010

Riassunto

In this book, I strove to propose a both precise and handy probabilistic modeling in some areas of finance and biology. Both fields are made of complex random systems, described by huge and noisy data, and call for expertise in probability theory and statistics. My work is a contribution to modeling interactions in such systems, numerical analysis of the models, and statistical analysis of experimental data. In finance, I first focus on analysis of weak error of the density of the Euler scheme for stochastic differential equations, deriving new expansions in Gaussian-like functional spaces. Then I study ergodic properties of stochastic volatility models, with extended numerical experiments. In biology, I work on cellular aging, suggesting a bifurcating autoregressive model to describe growth rates of cells and building statistical procedures to estimate parameters and test biological hypothesis. To this end, I introduce the concept of bifurcating Markov chains and prove that such stochastic processes satisfy original limit theorems. This book should be useful to academic researchers or PhD students in applied mathematics, as well as to practitioners in finance or biology.

Su questo libro

L'autore

Julien Guyon works in the Global Markets Quantitative Research team at Société Générale. He holds a PhD in Probability Theory and Statistics from Ecole des ponts (Paris). He graduated from Ecole polytechnique (Paris) and Ecole des ponts. He is also a Professor at Ecole des ponts.

Su questa edizione

• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2010
• ISBN 10: 3838314468
• ISBN 13: 9783838314464
• Rilegatura: Copertina flessibile
• Numero di pagine: 172