Uniformly strong consistency of frequency polygons for negatively associated samples

ABSTRACT

In this article, the frequency polygon studied by Scott (1985) is investigated as a nonparametric estimator for negatively associated samples. By the Bernstein type inequality, we give the uniformly strong consistency of the estimator and obtain the corresponding rate under some mild conditions.

KEYWORDS:

• Frequency polygons
• Negatively associated
• Uniformly Strong consistency

MATHEMATICS SUBJECT CLASSIFICATION:

• (2000):60G05
• 62G20

Acknowledgments

The authors are greatly grateful to the anonymous referees for providing valuable suggestions which improved much the first manuscript.