Skip to content
Cart
Register Sign in Wishlist
Random Sets in Econometrics

Random Sets in Econometrics

c.$34.99

Part of Econometric Society Monographs

  • Publication planned for: July 2018
  • availability: Not yet published - available from July 2018
  • format: Paperback
  • isbn: 9781107548732

c.$ 34.99
Paperback

Pre-order Add to wishlist

Other available formats:
Hardback


Looking for an evaluation copy?

This title is not currently available for evaluation. However, if you are interested in the title for your course we can consider offering an evaluation copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Random set theory is a fascinating branch of mathematics that amalgamates techniques from topology, convex geometry, and probability theory. Social scientists routinely conduct empirical work with data and modelling assumptions that reveal a set to which the parameter of interest belongs, but not its exact value. Random set theory provides a coherent mathematical framework to conduct identification analysis and statistical inference in this setting and has become a fundamental tool in econometrics and finance. This is the first book dedicated to the use of the theory in econometrics, written to be accessible for readers without a background in pure mathematics. Molchanov and Molinari define the basics of the theory and illustrate the mathematical concepts by their application in the analysis of econometric models. The book includes sets of exercises to accompany each chapter as well as examples to help readers apply the theory effectively.

    • Remains accessible for the average reader without advanced knowledge in mathematics
    • Includes examples of applications to some important problems in econometrics, offering a blue-print for how to apply the techniques in different models
    • Provides sets of exercises to accompany each chapter
    Read more

    Reviews & endorsements

    Advance praise: 'The book builds upon and greatly elaborates on the pioneering, fundamental work that Ilya Molchanov, and Francesca Molinari did on connecting econometric models with missing data and set-valued responses - such as games with multiple equilibria - to the theory of random sets, a beautiful field of mathematics, probability theory, and mathematical economics. It should be of equal interest to students and researchers in mathematical statistics, econometrics, and machine learning, particularly in problems where set-valued predictions arise, in either observational or counterfactual settings.' V. Chernozhukov, Economics Department and Center for Statistics and Data Science, Massachusetts Institute of Technology

    Advance praise: 'This book will be very useful to graduate students, faculty, and other researchers interested in the exciting new area of partial identification. Partial identification analysis has become important in empirical economics, largely motivated by revealed preference ideas. Random sets provide a useful and important way of approaching these problems. They are particularly helpful in obtaining sharp identified sets, e.g. ones that are as small as possible. This book is timely and useful in providing an introduction to this new area that is clear and gives the necessary mathematical background for a good understanding of and research on these methods.' Whitney Newey, Ford Professor of Economics, Massachusetts Institute of Technology

    Advance praise: 'Random set theory provides the natural abstract mathematical language for study of partial identification. Molchanov and Molinari, a brilliant collaboration of mathematician and econometrician, present the fundamentals meticulously and describe the fruitful applications to date. Their book provides the foundation for much more to come.' Charles F. Manski, Board of Trustees Professor in Economics, Northwestern University, Illimois

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Publication planned for: July 2018
    • format: Paperback
    • isbn: 9781107548732
    • dimensions: 228 x 152 mm
    • contains: 10 b/w illus.
    • availability: Not yet published - available from July 2018
  • Table of Contents

    1. Basic concepts
    2. Selections
    3. Expectation of random sets
    4. Limit theorems for Minkowski sums
    5. Estimation and interference.

  • Authors

    Ilya Molchanov, Universität Bern, Switzerland
    Ilya Molchanov is Professor of Probability at the Universität Bern, Switzerland, having previously worked in Germany, the Netherlands and Scotland. His research and publications focus on probability theory, spatial statistics, and mathematical finance, with the main emphasis on stochastic geometry and the theory of random sets.

    Francesca Molinari, Cornell University, New York
    Francesca Molinari is the H. T. Warshow and Robert Irving Warshow Professor of Economics at Cornell University, New York. She is a specialist in econometric theory, with emphasis on partial identification. She authored numerous papers in this area, including empirical ones on estimation of risk preferences using property insurance data.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×