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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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 |
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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 |
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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. |
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TAN, Lili ZHANG, Yichong |
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TAN, Lili ZHANG, Yichong |
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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 |
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Institutional Knowledge at Singapore Management University |
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2019 |
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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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