Econometrica: Jan 1975, Volume 43, Issue 1

Estimation of the Two-Limit Probit Regression Model

https://doi.org/0012-9682(197501)43:1<141:EOTTPR>2.0.CO;2-G
p. 141-146

Forrest D. Nelson, Richard N. Rosett

Some economic variables are restricted by an upper and lower limit but are continuous between the two limits. Measurements of such variables are sometimes available in their natural form and sometimes only in the form of three categories where information concerning the middle category is suppressed (unemployed, employed part time, employed full time, for example). Where such a variable is a continuous function of other variables between the two limits, the function can be estimated from data of either sort provided the function and the distribution of errors can be specified.

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