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Estimating densities, quantiles, quantile densities and density quantiles (1992)

Jones, M. C.

Springer

Annals of the Institute of Statistical Mathematics 44 (1992), S. 721-727

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ISSN: 1572-9052

Keywords: Kernel smoothing ; reciprocal density ; sparsity function

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract To estimate the quantile density function (the derivative of the quantile function) by kernel means, there are two alternative approaches. One is the derivative of the kernel quantile estimator, the other is essentially the reciprocal of the kernel density estimator. We give ways in which the former method has certain advantages over the latter. Various closely related smoothing issues are also discussed.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00053400

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