Distribution‐free Estimation of a Monotonic  p th Quantile Function | Zendy

Strömberg U. | Zendy

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Distribution‐free Estimation of a Monotonic p th Quantile Function

Author(s) -

Strömberg U.

Publication year - 1993

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.4710350509

Subject(s) - quantile , quantile function , quantile regression , covariate , mathematics , estimator , statistics , econometrics , isotonic regression , monotonic function , distribution (mathematics) , cumulative distribution function , probability density function , mathematical analysis

When analyzing biological data sets, a frequent problem is to estimate the p th quantile of a distribution, when that quantile is assumed to depend on a covariate; in the present paper the dependence of the quantile on the covariate is assumed to be monotonic. Some properties of an isotonic p th quantile regression, considered as an estimator of an increasing p th quantile function, are presented.

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