Detail publikačního výsledku

The Priestley-Chao Estimator of Conditional Density with Uniformly Distributed Random Design

KONEČNÁ, K.

Originální název

The Priestley-Chao Estimator of Conditional Density with Uniformly Distributed Random Design

Anglický název

The Priestley-Chao Estimator of Conditional Density with Uniformly Distributed Random Design

Druh

Článek WoS

Originální abstrakt

The present paper is focused on non-parametric estimation of conditional density. Conditional density can be regarded as a generalization of regression thus the kernel estimator of conditional density can be derived from the kernel estimator of the regression function. We concentrate on the Priestley-Chao estimator of conditional density with a random design presented by a uniformly distributed unconditional variable. The statistical properties of such an estimator are given. As the smoothing parameters have the most significant influence on the quality of the final estimate, the leave-one-out maximum likelihood method is proposed for their detection. Its performance is compared with the cross-validation method and with two alternatives of the reference rule method. The theoretical part is complemented by a simulation study.

Anglický abstrakt

The present paper is focused on non-parametric estimation of conditional density. Conditional density can be regarded as a generalization of regression thus the kernel estimator of conditional density can be derived from the kernel estimator of the regression function. We concentrate on the Priestley-Chao estimator of conditional density with a random design presented by a uniformly distributed unconditional variable. The statistical properties of such an estimator are given. As the smoothing parameters have the most significant influence on the quality of the final estimate, the leave-one-out maximum likelihood method is proposed for their detection. Its performance is compared with the cross-validation method and with two alternatives of the reference rule method. The theoretical part is complemented by a simulation study.

Klíčová slova

Priestley-Chao estimator of conditional density, random design, uniform marginal density, bandwidth selection, maximum likelihood method, reference rule method

Klíčová slova v angličtině

Priestley-Chao estimator of conditional density, random design, uniform marginal density, bandwidth selection, maximum likelihood method, reference rule method

Autoři

KONEČNÁ, K.

Rok RIV

2019

Vydáno

21.09.2018

Nakladatel

Český statistický úřad

Místo

Česká republika

ISSN

0322-788X

Periodikum

Statistika-Statistics and Economy Journal

Svazek

98

Číslo

3

Stát

Česká republika

Strany od

283

Strany do

294

Strany počet

307

URL

https://www.czso.cz/documents/10180/61266313/32019718q3283.pdf/a6025d1a-d8fc-4e3b-9846-3c16c7937288?version=1.0

Plný text v Digitální knihovně

http://hdl.handle.net/11012/178454

BibTex

@article{BUT150775,
  author="Kateřina {Pokorová}",
  title="The Priestley-Chao Estimator of Conditional Density with Uniformly Distributed Random Design",
  journal="Statistika-Statistics and Economy Journal",
  year="2018",
  volume="98",
  number="3",
  pages="283--294",
  issn="0322-788X",
  url="https://www.czso.cz/documents/10180/61266313/32019718q3283.pdf/a6025d1a-d8fc-4e3b-9846-3c16c7937288?version=1.0"
}

Dokumenty

32019718q3283