NONPARAMETRIC REGRESSION ESTIMATES USING MISCLASSIFIED BINARY RESPONSES

NCU Institutional Repository > 理學院 > 統計研究所 > 期刊論文 > Item 987654321/27810

請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/27810

題名:	NONPARAMETRIC REGRESSION ESTIMATES USING MISCLASSIFIED BINARY RESPONSES
作者:	CHU,CK;CHENG,KF
貢獻者:	統計研究所
關鍵詞:	DOUBLE SAMPLING SCHEME;CATEGORICAL-DATA;BINOMIAL DATA
日期:	1995
上傳時間:	2010-06-29 19:34:07 (UTC+8)
出版者:	中央大學
摘要:	For random design nonparametric regression, in the case that the responses are binary and subject to misclassification, the performance of the kernel estimator is investigated. The kernel estimator is generally biased for the local proportion. To adjust for the bias, the double sampling scheme of Tenenbein (1970, 1971) is considered. A plugged-in kernel estimator and an imputed kernel estimator, which adjust for the effect of misclassification on the kernel estimator, are proposed, and their asymptotic mean squared errors are analysed. The plugged-in kernel estimator is better than the simple kernel estimator, which uses only the data without misclassification in the validation subsample, in the sense of having smaller asymptotic mean squared error. However, the imputed kernel estimator has smaller asymptotic variance. If the misclassification probabilities are constant, then the two proposed estimators have the same asymptotic bias. In this case, the imputed kernel estimator is always better than the plugged-in kernel estimator. For general misclassification probabilities, the asymptotic biases of the two proposed estimators are not comparable in magnitude. However, our simulation results demonstrate that, even when the misclassification probabilities are not constant, the imputed kernel estimator is still better for reasonable sample sizes.
關聯:	BIOMETRIKA
顯示於類別:	[統計研究所] 期刊論文

文件中的檔案:

檔案	描述	大小	格式	瀏覽次數
index.html		0Kb	HTML	449	檢視/開啟

在NCUIR中所有的資料項目都受到原著作權保護.

社群 sharing

資料載入中.....