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Methods for estimating a conditional distribution function

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Author Info
Rodney C Wolff
Peter Hall
Qiwei Yao (School of Economics and Finance, Queensland University of Technology)
Abstract

Motivated by the problem of setting prediction intervals in time series analysis, we suggest two new methods for conditional distribution estimation. The first method is based on locally fitting a logistic model and is in the spirit of recent work on locally parametric techniques in density estimation. It produces distribution estimators that may be of arbitrarily high order but nevertheless always lie between 0 and 1. The second method involves an adjusted form of the Nadaraya--Watson estimator. It preserves the bias and variance properties of a class of second-order estimators introduced by Yu and Jones but has the added advantage of always being a distribution itself. Our methods also have application outside the time series setting; for example, to quantile estimation for independent data. This problem motivated the work of Yu and Jones.

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Paper provided by School of Economics and Finance, Queensland University of Technology in its series Rodney Wolff Papers with number 2006-11.

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Date of creation: 15 Jun 2006
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Handle: RePEc:qut:rwolff:2006-11

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Related research
Keywords: Absolutely regular bandwidth biased bootstrap conditional distribution kernel methods local linear methods local logistic methods Nadaraya-Watson estimator prediction quantile estimation time series analysis weighted bootstrap

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  1. Valentina Corradi & Norman Swanson & Walter Distaso, 2006. "Predictive Inference for Integrated Volatility," Departmental Working Papers 200616, Rutgers University, Department of Economics. [Downloadable!]
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