The uniformly complete consistency of generalized edge frequency polygon estimator for asymptotically negatively associated samples and an application

Meimei Ge, Yan Wang, Xin Deng, Xuejun Wang and Aiting Shen ()
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Meimei Ge: Anhui University
Yan Wang: Chizhou University
Xin Deng: Chuzhou University
Xuejun Wang: Anhui University
Aiting Shen: Anhui University

Statistical Papers, 2025, vol. 66, issue 3, No 19, 23 pages

Abstract: Abstract This paper mainly studies the uniformly complete consistency and the convergence rate of generalized edge frequency polygon estimator for asymptotically negatively associated samples under some general conditions. As an application, the uniformly complete consistency and the corresponding rate of hazard rate function estimator are also obtained. In addition, simulations are also presented to verify the validity of the theoretical results based on finite samples.

Keywords: Generalized edge frequency polygon; Uniformly complete consistency; Asymptotically negatively associated samples; Hazard rate function estimator; 62G05; 62G20 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00362-025-01690-1

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