On the Selection of Bezier Points in Bezier Curve Smoothing

Kim, Choongrak;Park, Jin-Hee

  • Received : 2012.10.11
  • Accepted : 2012.11.15
  • Published : 2012.12.31


Nonparametric methods are often used as an alternative to parametric methods to estimate density function and regression function. In this paper we consider improved methods to select the Bezier points in Bezier curve smoothing that is shown to have the same asymptotic properties as the kernel methods. We show that the proposed methods are better than the existing methods through numerical studies.


Kernel density estimation;mean integrated squared error;regression function


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Cited by

  1. Bezier curve smoothing of cumulative hazard function estimators vol.23, pp.3, 2016,
  2. Nonparametric Estimation of Distribution Function using Bezier Curve vol.21, pp.1, 2014,


Supported by : Pusan National University