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We consider the bias of the 2SLS estimator in the linear instrumental vari-ables regression with one endogenous … regressor only. By using asymptotic expansion techniques we approximate 2SLS coefficient estimation bias under various scenarios … regarding the number and strength of instruments.The resulting approximation encompasses existing bias approximations, which are …
Persistent link: https://www.econbiz.de/10003989911
This paper compares the economic questions addressed by instrumental variables estimators with those addressed by structural approaches. We discuss Marschak's Maxim: estimators should be selected on the basis of their ability to answer well-posed economic problems with minimal assumptions. A key...
Persistent link: https://www.econbiz.de/10003989921
This paper considers the finite sample distribution of the 2SLS estimator and derives bounds on its exact bias in the … presence of weak and/or many instruments. We then contrast the behavior of the exact bias expressions and the asymptotic … in terms of mean bias and MSE. …
Persistent link: https://www.econbiz.de/10011300710
Control variables provide an important means of controlling for endogeneity in econometric models with nonseparable and/or multidimensional heterogeneity. We allow for discrete instruments, giving identi cation results under a variety of restrictions on the way the endogenous variable and the...
Persistent link: https://www.econbiz.de/10011901534
The recent literature on instrumental variables (IV) features models in which agents sort into treatment status on the basis of gains from treatment as well as on baselinepretreatment levels. Components of the gains known to the agents and acted on by them may not be known by the observing...
Persistent link: https://www.econbiz.de/10003989944
Many empirical studies estimate the structural effect of some variable on an outcome of interest while allowing for many covariates. We present inference methods that account for many covariates. The methods are based on asymptotics where the number of covariates grows as fast as the sample...
Persistent link: https://www.econbiz.de/10011295588
I introduce a model of undirected dyadic link formation which allows for assortative matching on observed agent characteristics (homophily) as well as unrestricted agent level heterogeneity in link surplus (degree heterogeneity). Like in fixed effects panel data analyses, the joint distribution...
Persistent link: https://www.econbiz.de/10011596621
The particular concern of this paper is the construction of a confidence region with pointwise asymptotically correct size for the true value of a parameter of interest based on the generalized Anderson-Rubin (GAR) statistic when the moment variance matrix is singular. The large sample behaviour...
Persistent link: https://www.econbiz.de/10011962418
Let Y be an outcome of interest, X a vector of treatment measures, and W a vector of pre-treatment control variables. Here X may include (combinations of) continuous, discrete, and/or non-mutually exclusive "treatments". Consider the linear regression of Y onto X in a subpopulation homogenous in...
Persistent link: https://www.econbiz.de/10011924562
This paper studies models in which hypothesis tests have trivial power, that is, power smaller than size. This testing impossibility, or impossibility type A, arises when any alternative is not distinguishable from the null. We also study settings where it is impossible to have almost surely...
Persistent link: https://www.econbiz.de/10011958082