Kernel Estimation of a Characteristic Function


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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

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