Inverse Problems and High-Dimensional Estimation

Stats in the Château Summer School, August 31 - September 4, 2009
Buch | Softcover
XIII, 198 Seiten
2011 | 2011
Springer Berlin (Verlag)
978-3-642-19988-2 (ISBN)
53,49 inkl. MwSt
The product of a high-flying summer school in Paris in 2009, this volume synthesises the state of the art on ill-posed statistical inverse problems and high-dimensional estimation and explores the ways these techniques can be applied to economics.

The "Stats in the Château" summer school was held at the CRC château on the campus of HEC Paris, Jouy-en-Josas, France, from August 31 to September 4, 2009. This event was organized jointly by faculty members of three French academic institutions ENSAE ParisTech, the Ecole Polytechnique ParisTech, and HEC Paris which cooperate through a scientific foundation devoted to the decision sciences.

The scientific content of the summer school was conveyed in two courses, one by Laurent Cavalier (Université Aix-Marseille I) on "Ill-posed Inverse Problems", and one by Victor Chernozhukov (Massachusetts Institute of Technology) on "High-dimensional Estimation with Applications to Economics". Ten invited researchers also presented either reviews of the state of the art in the field or of applications, or original research contributions.

This volume contains the lecture notes of the two courses. Original research articles and a survey complement these lecture notes. Applications to economics are discussed in various contributions.

Pierre Alquier is an associate professor at Université Paris 7 and a research fellow at CREST. He holds a PhD from Université Paris 6. His research themes are high dimensional estimation and agregation of estimators in statistics. Eric Gautier is an associate professor at ENSAE ParisTech and a researcher at CREST. He holds a PhD from the University of Rennes 1. His research is both in probability and theoretical econometrics. Regarding the second theme, he is particularly interested in inverse problems and high dimensional estimation and their applications to economics. Gilles Stoltz is a research fellow at CNRS, Ecole normale supérieure and an affiliated professor at HEC Paris. He holds a PhD and an habilitation from Université Paris-Sud, Orsay. His research themes concern sequential prediction of arbitrary sequences and its application to the theory of repeated games.

Part I Lecture Notes on Inverse Problems: Inverse Problems in Statistics (Laurent Cavalier).- Part II Invited Contribution on Inverse Problems: Non Parametric Models with Instrumental Variables (Jean-Pierre Florens).- Part III Lecture Notes on High-Dimensional Estimation: High Dimensional Sparse Econometric Models: An Introduction (Alexandre Belloni and Victor Chernozhukov).- Part IV Invited Contributions on High-Dimensional Estimation: Model selection in Gaussian regression for high-dimensional data (Felix Abramovich and Vadim Grinshtein).- Bayesian Perspectives on Sparse Empirical Bayes Analysis (SEBA) (Natalia Bochkina and Ya'acov Ritov).- Part V Invited and Contributed Talks Given During the Summer School: List of the Courses.- List of the Invited Talks.- List of the Contributed Talks and Posters.

From the reviews:

"This volume contains contributions from a summer school on ill-posed inverse problems and high dimensional estimation, along with other contributions. ... This book looks at their relevance to economic and econometric problems. ... provides a useful overview of the challenges and approaches to tackling inverse problems - I would certainly recommend it to a researcher fresh to the area." (David J. Hand, International Statistical Review, Vol. 81 (1), 2013)

Erscheint lt. Verlag 9.6.2011
Reihe/Serie Lecture Notes in Statistics
Lecture Notes in Statistics - Proceedings
Zusatzinfo XIII, 198 p. 12 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 1 g
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Wirtschaft Betriebswirtschaft / Management
Schlagworte Econometrics • High-Dimensional Estimation • Inverse Problems
ISBN-10 3-642-19988-7 / 3642199887
ISBN-13 978-3-642-19988-2 / 9783642199882
Zustand Neuware
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