Kernel Estimation of a Characteristic Function
- Authors: Abdushukurov A.A.1, Norboev F.S.2
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Affiliations:
- National University of Uzbekistan named after Mirzo Ulugbek
- Gulistan State University
- Issue: Vol 220, No 6 (2017)
- Pages: 643-649
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238899
- DOI: https://doi.org/10.1007/s10958-016-3207-1
- ID: 238899
Cite item
Abstract
This article deals with the study of asymptotic properties of a nonparametric kernel estimator of a characteristic function. Uniformly strong consistency of kernel estimator with fixed and expanding interval is established. The law of iterated logarithm type is also proved.
About the authors
A. A. Abdushukurov
National University of Uzbekistan named after Mirzo Ulugbek
Author for correspondence.
Email: a_abdushukurov@rambler.ru
Uzbekistan, Tashkent
F. Sh. Norboev
Gulistan State University
Email: a_abdushukurov@rambler.ru
Uzbekistan, Guliston, Provincia de Sirdarin