M-estimators of U-processes with a change-point due to a covariate threshold

Economic theory often predicts a “tipping point” effect due to multiple equilibria. Linear threshold regressions estimate the “tipping point” by assuming at the same time that the response variable is linear in an index of covariates. However, economic theory rarely imposes a specific functional form,...

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Main Authors: TAN, Lili, ZHANG, Yichong
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Language:English
Published: Institutional Knowledge at Singapore Management University 2019
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Online Access:https://ink.library.smu.edu.sg/soe_research/1997
https://ink.library.smu.edu.sg/context/soe_research/article/2996/viewcontent/main_MU.pdf
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spelling sg-smu-ink.soe_research-29962019-06-10T00:50:45Z M-estimators of U-processes with a change-point due to a covariate threshold TAN, Lili ZHANG, Yichong Economic theory often predicts a “tipping point” effect due to multiple equilibria. Linear threshold regressions estimate the “tipping point” by assuming at the same time that the response variable is linear in an index of covariates. However, economic theory rarely imposes a specific functional form, but rather predicts a monotonic relationship between the response variable and the index. We propose new, rank-based, estimators for both the “tipping point” and other regression coefficients, exploiting only the monotonicity condition. We derive the asymptotic properties of these estimators by establishing a more general result for M-estimators of U-processes with a change-point due to a covariate threshold. We finally apply our method to provide new estimates of the “tipping point” of social segregation in four major cities in the United States. 2019-04-01T07:00:00Z text application/pdf https://ink.library.smu.edu.sg/soe_research/1997 info:doi/10.1080/07350015.2017.1319373 https://ink.library.smu.edu.sg/context/soe_research/article/2996/viewcontent/main_MU.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Simulation-based inference bootstrap monotone rank estimator partial rank estimator Econometrics
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Simulation-based inference
bootstrap
monotone rank estimator
partial rank estimator
Econometrics
spellingShingle Simulation-based inference
bootstrap
monotone rank estimator
partial rank estimator
Econometrics
TAN, Lili
ZHANG, Yichong
M-estimators of U-processes with a change-point due to a covariate threshold
description Economic theory often predicts a “tipping point” effect due to multiple equilibria. Linear threshold regressions estimate the “tipping point” by assuming at the same time that the response variable is linear in an index of covariates. However, economic theory rarely imposes a specific functional form, but rather predicts a monotonic relationship between the response variable and the index. We propose new, rank-based, estimators for both the “tipping point” and other regression coefficients, exploiting only the monotonicity condition. We derive the asymptotic properties of these estimators by establishing a more general result for M-estimators of U-processes with a change-point due to a covariate threshold. We finally apply our method to provide new estimates of the “tipping point” of social segregation in four major cities in the United States.
format text
author TAN, Lili
ZHANG, Yichong
author_facet TAN, Lili
ZHANG, Yichong
author_sort TAN, Lili
title M-estimators of U-processes with a change-point due to a covariate threshold
title_short M-estimators of U-processes with a change-point due to a covariate threshold
title_full M-estimators of U-processes with a change-point due to a covariate threshold
title_fullStr M-estimators of U-processes with a change-point due to a covariate threshold
title_full_unstemmed M-estimators of U-processes with a change-point due to a covariate threshold
title_sort m-estimators of u-processes with a change-point due to a covariate threshold
publisher Institutional Knowledge at Singapore Management University
publishDate 2019
url https://ink.library.smu.edu.sg/soe_research/1997
https://ink.library.smu.edu.sg/context/soe_research/article/2996/viewcontent/main_MU.pdf
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