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Multivariate ordered discrete response models

Tatiana Komarova, William Matcham

arXiv 11 May 2022 · Econometrics

arXiv:2205.05779 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We introduce multivariate ordered discrete response models with general rectangular structures. From the perspective of behavioral economics, these non-lattice models correspond to broad bracketing in decision making, whereas lattice models, which researchers typically estimate in practice, correspond to narrow bracketing. In these models, we specify latent processes as a sum of an index of covariates and an unobserved error, with unobservables for different latent processes potentially correlated. We provide conditions that are sufficient for identification under the independence of errors and covariates and outline an estimation approach. We present simulations and empirical examples, with a particular focus on probit specifications.

Citation extraction

56
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78
in-text mentions
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distinct cited
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appendix boundary found by appendix_titled_section at “Appendix A: Coherency” · 59% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Mark Coppejans (2007) On efficient estimation of the ordered response model1.00063100%
2Lewbel, Arthur (2003) Ordered Response Threshold Estimation0.73732100%
3Komarova, Tatiana and Matcham, William (2025) Multivariate Ordered Discrete Response Models with Lattice Structures self0.64441100%
4Einav, Liran and Finkelstein, Amy and Ryan, Stephen P. and Schrimpf,… (2013) Selection on Moral Hazard in Health Insurance0.58531100%
5Tamer, Elie (2003) Incomplete Simultaneous Discrete Response Model with Multiple Equilibria0.58531100%
6Anderson, J. A (1984) Regression and Ordered Categorical Variables0.51121100%
7Handel, Benjamin R (2013) Adverse Selection and Inertia in Health Insurance Markets: When Nudging Hurts0.51121100%
8Chen, Songnian and Khan, Shakeeb (2003) Rates of convergence for estimating regression coefficients in heteroskedastic discrete response models0.51121100%
9Cunha, Flavio and Heckman, James J. and Navarro, Salvador (2007) The Identification and Economic Content of Ordered Choice Models with Stochastic Thresholds0.51121100%
10Foster, Kevin and Greene, Claire and Stavins, Joanna (2021) The 2020 Survey of Consumer Payment Choice: Summary Results0.51121100%

Showing the top 10 of 56 scored citations.