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Pointwise Estimation of Density of Heteroscedastistic Response in Regression
현지훈,김시원,이성동,변욱재,손미경,김충락 한국통계학회 2012 응용통계연구 Vol.25 No.1
In fitting a regression model, we often encounter data sets which do not follow Gaussian distribution and/or do not have equal variance. In this case estimation of the conditional density of a response variable at a given design point is hardly solved by a standard least squares method. To solve this problem, we propose a simple method to estimate the distribution of the fitted vales under heteroscedasticity using the idea of quantile regression and the histogram techniques. Application of this method to a real data sets is given.