4.2 Article

Re-formulation of inverse Gaussian, reciprocal inverse Gaussian, and Birnbaum-Saunders kernel estimators

Journal

STATISTICS & PROBABILITY LETTERS
Volume 84, Issue -, Pages 235-246

Publisher

ELSEVIER
DOI: 10.1016/j.spl.2013.10.013

Keywords

Nonparametric density estimator; Boundary bias problem; Generalized inverse Gaussian density; Modified Bessel function

Funding

  1. Japan Society for the Promotion of Science [23500339]
  2. Grants-in-Aid for Scientific Research [23500339] Funding Source: KAKEN

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We reveal the boundary bias problem of Birnbaum-Saunders, inverse Gaussian, and reciprocal inverse Gaussian kernel estimators (Jin and Kawczak, 2003; Scaillet, 2004) and re-formulate these estimators to solve the problem. We investigate asymptotic properties of a new class of asymmetric kernel estimators. (C) 2013 Elsevier B.V. All rights reserved.

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