Estimation of best predictors of binary response

Charles F. Manski*, T. Scott Thompson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


This paper investigates analog estimation of predictors of binary response given semiparametric restrictions on the response process. Results are presented for the 'isotonic' response model and for the weaker 'single-crossing' model. The isotonic model assumes that the response probability is monotone in a linear function of the conditioning variables. In the single-crossing model the response probability is above a given value when a linear function of the conditioning variables is positive and below that value otherwise. It is found that analog estimators computed under the isotonicity restriction are generally consistent. Estimation under the single-crossing restriction is consistent only for special loss functions.

Original languageEnglish (US)
Pages (from-to)97-123
Number of pages27
JournalJournal of Econometrics
Issue number1
StatePublished - Jan 1989

ASJC Scopus subject areas

  • Economics and Econometrics


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