Arbeitspapier

Quantile and probability curves without crossing

The most common approach to estimating conditional quantile curves is to fit a curve, typically linear, pointwise for each quantile. Linear functional forms, coupled with pointwise fitting, are used for a number of reasons including parsimony of the resulting approximations and good computational properties. The resulting fits, however, may not respect a logical monotonicity requirement that the quantile curve be increasing as a function of probability. This paper studies the natural monotonization of these empirical curves induced by sampling from the estimated non-monotone model, and then taking the resulting conditional quantile curves that by construction are monotone in the probability.

Sprache
Englisch

Erschienen in
Series: cemmap working paper ; No. CWP10/07

Klassifikation
Wirtschaft
Thema
Quantile regression , Monotonicity , Rearrangement , Approximation , Functional Delta Method , Hadamard Differentiability of Rearrangement Operators
Schätztheorie
Stichprobenverfahren
Bootstrap-Verfahren
Einkommen
Soldaten
Theorie
USA

Ereignis
Geistige Schöpfung
(wer)
Chernozhukov, Victor
Fernández-Val, Iván
Galichon, Alfred
Ereignis
Veröffentlichung
(wer)
Centre for Microdata Methods and Practice (cemmap)
(wo)
London
(wann)
2007

DOI
doi:10.1920/wp.cem.2007.1007
Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Chernozhukov, Victor
  • Fernández-Val, Iván
  • Galichon, Alfred
  • Centre for Microdata Methods and Practice (cemmap)

Entstanden

  • 2007

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