Inference for the Linear IV Model Ridge Estimator Using Training and Test Samples

The asymptotic distribution is presented for the linear instrumental variables model estimated with a ridge penalty and a prior where the tuning parameter is selected with a holdout sample. The structural parameters and the tuning parameter are estimated jointly by method of moments. A chi-squared s...

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Main Authors: Fallaw Sowell, Nandana Sengupta
פורמט: Article
שפה:English
יצא לאור: MDPI AG 2021-09-01
סדרה:Stats
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גישה מקוונת:https://www.mdpi.com/2571-905X/4/3/43
תיאור
סיכום:The asymptotic distribution is presented for the linear instrumental variables model estimated with a ridge penalty and a prior where the tuning parameter is selected with a holdout sample. The structural parameters and the tuning parameter are estimated jointly by method of moments. A chi-squared statistic permits confidence regions for the structural parameters. The form of the asymptotic distribution provides insights on the optimal way to perform the split between the training and test sample. Results for the linear regression estimated by ridge regression are presented as a special case.
ISSN:2571-905X