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Inference on estimators defined by mathematical programming
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DOI：10.1016/j.jeconom.2021.06.001.png)
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摘要
En 中文
We propose an inference procedure for a class of estimators defined as the solutions to linear and convex quadratic programming problems in which the coefficients in both the objective function and the constraints of the problem are estimated from data and hence involve sampling error. We argue that the Karush-Kuhn-Tucker conditions that characterize the solutions to these programming problems can be treated as moment conditions; by doing so, we transform the problem of inference on the solution to a constrained optimization problem (which is non-standard) into one involving inference on inequalities with pre-estimated coefficients, which is better understood. Our approach is valid regardless of whether the problem has a unique solution or multiple solutions. We apply our method to various portfolio selection models, in which the confidence sets can be non-convex, lower-dimensional manifolds. (C) 2021 Elsevier B.V. All rights reserved.
Keyword:
Linear complementarity constraints
Moment inequalities
Sub-vector inference
Portfolio selection
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5.2K
被引数:
3.0W
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Inference for Parameters Defined by Moment Inequalities: A Recommended Moment Selection Procedure由矩不等式定义的参数的推断: 推荐的矩选择程序.png)
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