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Partial Identification of Probability Distributions

Partial Identification of Probability Distributions PDF Author: Charles F. Manski
Publisher: Springer Science & Business Media
ISBN: 038721786X
Category : Mathematics
Languages : en
Pages : 188

Book Description
The book presents in a rigorous and thorough manner the main elements of Charles Manski's research on partial identification of probability distributions. The approach to inference that runs throughout the book is deliberately conservative and thoroughly nonparametric. There is an enormous scope for fruitful inference using data and assumptions that partially identify population parameters.

Partial Identification of Probability Distributions

Partial Identification of Probability Distributions PDF Author: Charles F. Manski
Publisher: Springer Science & Business Media
ISBN: 038721786X
Category : Mathematics
Languages : en
Pages : 188

Book Description
The book presents in a rigorous and thorough manner the main elements of Charles Manski's research on partial identification of probability distributions. The approach to inference that runs throughout the book is deliberately conservative and thoroughly nonparametric. There is an enormous scope for fruitful inference using data and assumptions that partially identify population parameters.

Identification of Discrete Probability Distributions from Partial Information

Identification of Discrete Probability Distributions from Partial Information PDF Author: Michael Anthony Pittarelli
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 366

Book Description


Identification of discrete probability distributions from partial information

Identification of discrete probability distributions from partial information PDF Author: Michael A. Pittarelli
Publisher:
ISBN:
Category :
Languages : en
Pages : 183

Book Description


Microeconometrics

Microeconometrics PDF Author: Steven Durlauf
Publisher: Springer
ISBN: 0230280811
Category : Literary Criticism
Languages : en
Pages : 365

Book Description
Specially selected from The New Palgrave Dictionary of Economics 2nd edition, each article within this compendium covers the fundamental themes within the discipline and is written by a leading practitioner in the field. A handy reference tool.

Monotone Instrumental Variables with an Application to the Returns to Schooling

Monotone Instrumental Variables with an Application to the Returns to Schooling PDF Author: Charles F. Manski
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 62

Book Description
Econometric analyses of treatment response commonly use instrumental variable (IV) assumptions to identify treatment effects. Yet the credibility of IV assumptions is often a matter of considerable disagreement, with much debate about whether some covariate is or is not a "valid instrument" in an application of interest. There is therefore good reason to consider weaker but more credible assumptions. assumptions. To this end, we introduce monotone instrumental variable (MIV) A particularly interesting special case of an MIV assumption is monotone treatment selection (MTS). IV and MIV assumptions may be imposed alone or in combination with other assumptions. We study the identifying power of MIV assumptions in three informational settings: MIV alone; MIV combined with the classical linear response assumption; MIV combined with the monotone treatment response (MTR) assumption. We apply the results to the problem of inference on the returns to schooling. We analyze wage data reported by white male respondents to the National Longitudinal Survey of Youth (NLSY) and use the respondent's AFQT score as an MIV. We find that this MIV assumption has little identifying power when imposed alone. However combining the MIV assumption with the MTR and MTS assumptions yields fairly tight bounds on two distinct measures of the returns to schooling.

Identification Problems in the Social Sciences

Identification Problems in the Social Sciences PDF Author: Charles F. Manski
Publisher: Harvard University Press
ISBN: 9780674442849
Category : Business & Economics
Languages : en
Pages : 194

Book Description
The author draws on examples from a range of disciplines to provide social and behavioural scientists with a toolkit for finding bounds when predicting behaviours based upon nonexperimental and experimental data.

Theory of Random Sets

Theory of Random Sets PDF Author: Ilya Molchanov
Publisher: Springer Science & Business Media
ISBN: 9781852338923
Category : Mathematics
Languages : en
Pages : 508

Book Description
This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine

Econometrics with Partial Identification

Econometrics with Partial Identification PDF Author: Francesca Molinari
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Econometrics has traditionally revolved around point identi cation. Much effort has been devoted to finding the weakest set of assumptions that, together with the available data, deliver point identifi cation of population parameters, finite or infi nite dimensional that these might be. And point identifi cation has been viewed as a necessary prerequisite for meaningful statistical inference. The research program on partial identifi cation has begun to slowly shift this focus in the early 1990s, gaining momentum over time and developing into a widely researched area of econometrics. Partial identification has forcefully established that much can be learned from the available data and assumptions imposed because of their credibility rather than their ability to yield point identifi cation. Within this paradigm, one obtains a set of values for the parameters of interest which are observationally equivalent given the available data and maintained assumptions. I refer to this set as the parameters' sharp identifi cation region. Econometrics with partial identi fication is concerned with: (1) obtaining a tractable characterization of the parameters' sharp identification region; (2) providing methods to estimate it; (3) conducting test of hypotheses and making con fidence statements about the partially identi fied parameters. Each of these goals poses challenges that differ from those faced in econometrics with point identifi cation. This chapter discusses these challenges and some of their solution. It reviews advances in partial identifi cation analysis both as applied to learning (functionals of) probability distributions that are well-defi ned in the absence of models, as well as to learning parameters that are well-defi ned only in the context of particular models. The chapter highlights a simple organizing principle: the source of the identi fication problem can often be traced to a collection of random variables that are consistent with the available data and maintained assumptions. This collection may be part of the observed data or be a model implication. In either case, it can be formalized as a random set. Random set theory is then used as a mathematical framework to unify a number of special results and produce a general methodology to conduct econometrics with partial identi fication.

High-Dimensional Probability

High-Dimensional Probability PDF Author: Roman Vershynin
Publisher: Cambridge University Press
ISBN: 1108415199
Category : Business & Economics
Languages : en
Pages : 299

Book Description
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Identification for Prediction and Decision

Identification for Prediction and Decision PDF Author: Charles F. Manski
Publisher: Harvard University Press
ISBN: 9780674033665
Category : Psychology
Languages : en
Pages : 370

Book Description
This book is a full-scale exposition of Charles Manski's new methodology for analyzing empirical questions in the social sciences. He recommends that researchers first ask what can be learned from data alone, and then ask what can be learned when data are combined with credible weak assumptions. Inferences predicated on weak assumptions, he argues, can achieve wide consensus, while ones that require strong assumptions almost inevitably are subject to sharp disagreements. Building on the foundation laid in the author's Identification Problems in the Social Sciences (Harvard, 1995), the book's fifteen chapters are organized in three parts. Part I studies prediction with missing or otherwise incomplete data. Part II concerns the analysis of treatment response, which aims to predict outcomes when alternative treatment rules are applied to a population. Part III studies prediction of choice behavior. Each chapter juxtaposes developments of methodology with empirical or numerical illustrations. The book employs a simple notation and mathematical apparatus, using only basic elements of probability theory.