A generalized reflection method of boundary correction in kernel density estimation

By Rohana J. Karunamuni, T. Alberts. 2005

59 citations recorded by the source corpus.

Subfields: Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/46a593f190689dc74d4df990d005ec1700b406ab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Environmental Engineering

1. M. Chris Jones
2. Masayuki Hirukawa
3. Mari Sakudo
4. Alexandre Leblanc

In Statistics and Probability

1. M. Chris Jones
2. Masayuki Hirukawa
3. Mari Sakudo
4. Daniel A. Henderson
5. Alexandre Leblanc
6. Gauss Moutinho Cordeiro
7. Gery Geenens
8. Artur J. Lemonte

Citations in the corpus

• Family of the generalised gamma kernels: a generator of asymmetric kernels for nonnegative data (2015, methodology): “For (i), boundary correction methods should be employed; see, for instance, Section 3 of Karunamuni and Alberts (2005) for a concise review of the methods.”
• A bias-reduced approach to density estimation using Bernstein polynomials (2010, background): “They are an example of data leading to problematic behaviour of typical density estimators close to a boundary (e.g. Karunamuni and Alberts 2005).”
• Miscellanea kernel-type density estimation on the unit interval (2007, background): “This is, however, not available for estimation on the unit interval without correction for boundary effects, although many boundary correction schemes exist by now (e.g., Müller, 1991, Jones, 1993, Cheng et al., 1997, Zhang et al., 1999, Karunamuni & Alberts, 2005).”