HU Xueping, CHEN Yang, YANG Rui, XU Zhonghao. Uniformly Complete Consistency for the Edge Frequency Polygon Estimator Under m-Linearly Extended Negative Quadrant Dependent SamplesJ. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2026.2026007
Citation: HU Xueping, CHEN Yang, YANG Rui, XU Zhonghao. Uniformly Complete Consistency for the Edge Frequency Polygon Estimator Under m-Linearly Extended Negative Quadrant Dependent SamplesJ. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2026.2026007

Uniformly Complete Consistency for the Edge Frequency Polygon Estimator Under m-Linearly Extended Negative Quadrant Dependent Samples

  • In this paper, by employing the exponential -type inequality of m-linearly extended negative quadrant dependent (m-LENQD), we establish the uniformly complete consistency and determine the rates of uniformly complete consistency for the edge frequency polygon based on m-LENQD samples under suitable conditions. These results refine and extend the corresponding findings in the literature. Moreover, some numerical simulations are presented to validate the theoretical results.
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