Nonparametric Estimation of Conditional Distributions in the Presence of Continuous and Categorical Data
AbstractA method is proposed for the consistent nonparametric estimation of conditional probability and probability density functions along with associated gradients when both the conditioned and conditioning variables are categorical, continuous, or a mixture of both types. The method builds on the work of Aitchison & Aitken (1976) who proposed a novel method for kernel density estimation when using multinomial categorical data types. Simulations show that the proposed method performs quite well for a number of conditional simulated processes that mix both categorical and continuous variables. Applications of the proposed method to (i) the widely-cited Iris dataset of Fisher (1936), (ii) the female labor supply dataset from the Panel Study on Income Dynamics examined in Mroz (1987), and (iii) the Swiss labor force data studied by Gerfin (1996) all demonstrate that the proposed method performs better than conventional parametric models for predicting multinomial discrete choice. The method extends the realm of nonparametric modeling through the seamless blending of both categorical and continuous variables, and is capable of detecting structure in the data which frequently remains undetected by conventional parametric approaches.
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Bibliographic InfoPaper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0713.
Date of creation: 01 Aug 2000
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- Mroz, Thomas A, 1987.
"The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions,"
Econometric Society, vol. 55(4), pages 765-99, July.
- Thomas Mroz, . "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," University of Chicago - Population Research Center 84-8, Chicago - Population Research Center.
- Michael Gerfin, 1993.
"Parametric and Semiparametric Estimation of the Binary Response Model of Labor Market Participation,"
dp9315, Universitaet Bern, Departement Volkswirtschaft.
- Gerfin, Michael, 1996. "Parametric and Semi-parametric Estimation of the Binary Response Model of Labor Market Participation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 321-39, May-June.
- McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457 Elsevier.
- Chaudhuri, Probal & Dewanji, Anup, 1995. "On a likelihood-based approach in nonparametric smoothing and cross-validation," Statistics & Probability Letters, Elsevier, vol. 22(1), pages 7-15, January.
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