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On Least Squares Estimation when the Dependent Variable is Grouped
Abstract
This paper examines the problem of estimating the parameters of an underlying linear model using data in which the dependent variable is only observed to fall in a certain interval on a continuous scale, its actual value remaining unobserved. A Least Squares algorithm for attaining the Maximum Likelihood estimator is described, the asymptotic bias of the OLS estimator derived for the normal regressors case and a "moment" estimator presented. A "two-step estimator" based on combining the two approaches is proposed and found to perform well in both an economic illustration and simulation experiments.
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Cited by
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van Praag, B. M. S., Frijters, P., & Ferrer-i-Carbonell, A. (2003) · Journal of Economic Behavior & Organization · doi:10.1016/s0167-2681(02)00140-3 · Cited by 992
Religious Identity and Economic Behavior
Benjamin, D. J., Choi, J. J., & Fisher, G. (2016) · Review of Economics and Statistics · doi:10.1162/rest_a_00586 · Cited by 355
Does it matter who answers the race question? Racial classification and income inequality in Brazil
Telles, E. E., & Lim, N. (1998) · Demography · doi:10.2307/3004014 · Cited by 280
MEASURING THE EFFECT OF SEXUAL ORIENTATION ON INCOME: EVIDENCE OF DISCRIMINATION?
Berg, N., & Lien, D. (2002) · Contemporary Economic Policy · doi:10.1093/cep/20.4.394 · Cited by 241
Metadata
- Authors
- Stewart, M. B.
- Venue
- The Review of Economic Studies
- Publisher
- Oxford University Press (OUP)
- Published
- 1983-10
- Volume
- 50
- Issue
- 4
- Pages
- 737
- ISSN
- 0034-6527 (ISSN-L)
- OpenAlex
- W1482121314
- Cited by
- 477
- References
- 0
- FWCI
- 5.35
- Type
- journal article
- Language
- en
- Open access
- closed
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- Stewart, M. B. (1983). On Least Squares Estimation when the Dependent Variable is Grouped. The Review of Economic Studies. https://doi.org/10.2307/2297773
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