The uniformly complete consistency of generalized edge frequency polygon estimator for asymptotically negatively associated samples and an application
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DOI: 10.1007/s00362-025-01690-1
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- Xuejun Wang & Yi Wu & Shuhe Hu, 2019. "The Berry–Esseen bounds of the weighted estimator in a nonparametric regression model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(5), pages 1143-1162, October.
- Lardjane, Salim, 2022. "Strong uniform consistency of the Frequency Polygon density estimator for stable non-anticipative stochastic processes," Statistics & Probability Letters, Elsevier, vol. 189(C).
- Tang, Xufei & Xi, Mengmei & Wu, Yi & Wang, Xuejun, 2018. "Asymptotic normality of a wavelet estimator for asymptotically negatively associated errors," Statistics & Probability Letters, Elsevier, vol. 140(C), pages 191-201.
- Ahmad Younso, 2023. "Consistency of the frequency polygon estimators of density mode for strongly mixing processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(7), pages 2182-2197, April.
- Aiting Shen & Huiling Tao & Xuejun Wang, 2020. "The asymptotic properties for the estimators of the survival function and failure rate function based on WOD samples," Statistical Papers, Springer, vol. 61(6), pages 2671-2684, December.
- Mi-Hwa Ko, 2023. "Some limiting behavior of the maximum of the partial sum for asymptotically negatively associated random vectors in Hilbert space," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(11), pages 3598-3611, June.
- Xin Yang, 2017. "Uniform strong consistency of histogram density estimation for dependent process," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(4), pages 1709-1719, February.
- Dong, Jianping & Zheng, Chuang, 2001. "Generalized edge frequency polygon for density estimation," Statistics & Probability Letters, Elsevier, vol. 55(2), pages 137-145, November.
- Carbon, Michel & Garel, Bernard & Tran, Lanh Tat, 1997. "Frequency polygons for weakly dependent processes," Statistics & Probability Letters, Elsevier, vol. 33(1), pages 1-13, April.
- Boente, Graciela & Fraiman, Ricardo, 1988. "Consistency of a nonparametric estimate of a density function for dependent variables," Journal of Multivariate Analysis, Elsevier, vol. 25(1), pages 90-99, April.
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Keywords
Generalized edge frequency polygon; Uniformly complete consistency; Asymptotically negatively associated samples; Hazard rate function estimator;All these keywords.
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