Weighted log-normal kernel density estimation. Issue 22 (16th November 2016)

• Record Type: Journal Article
• Authors: Igarashi, Gaku
• Is Part Of: Communications in statistics. Volume 45:Issue 22(2016)
• Page Start: 6670
• Page End: 6687
• Publication Date: 2016-11-16
• Subjects: Asymmetric kernel estimator -- Boundary problem -- Log-normal density -- Nonparametric density estimator -- Weighted distribution; Primary 62G07 -- Secondary 62G20; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.963623
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: The log-normal (LN) kernel estimator of a density with support [0, ∞) was discussed by Jin and Kawczak (2003 ). The contribution of this paper is to suggest a new class of LN kernel estimators using the idea of weighted distribution. The asymptotic properties of the new class of estimators are studied. Also, numerical studies based on both simulated and real data set are presented.