@inproceedings{2613b1d0401b44c0a34e6423ae0fa93a,
title = "Combining two consistent estimators",
abstract = "This chapter shows how a weighted average of a forward and reverse Jackknife IV estimator (JIVE) yields estimators that are robust against heteroscedasticity and many instruments. These estimators, called HFUL (Heteroscedasticity robust Fuller) and HLIM (Heteroskedasticity robust limited information maximum likelihood (LIML)) were introduced by Hausman, Newey, Woutersen, Chao, and Swanson (2012), but without derivation. Combining consistent estimators is a theme that is associated with Jerry Hausman and, therefore, we present this derivation in this volume. Additionally, and in order to further understand and interpret HFUL and HLIM in the context of jackknife type variance ratio estimators, we show that a new variant of HLIM, under specific grouped data settings with dummy instruments, simplifies to the Bekker and van der Ploeg (2005) MM (method of moments) estimator.",
keywords = "Endogeneity, Hausman (1978) test, Instrumental variables, Jackknife estimation, Many moments",
author = "Chao, {John C.} and Hausman, {Jerry A.} and Newey, {Whitney K.} and Swanson, {Norman R.} and Tiemen Woutersen",
year = "2012",
doi = "10.1108/S0731-9053(2012)0000029007",
language = "English (US)",
isbn = "9781781903070",
series = "Advances in Econometrics",
pages = "33--53",
editor = "Badi Baltagi and Carter Hill and Whitney Newey and Halbert White",
booktitle = "Essays in Honor of Jerry Hausman",
}