Complete moment convergence for randomly weighted sums of extended negatively dependent random variables with application to semiparametric regression models

Nan Cheng, Chao Lu, Jibing Qi and Xuejun Wang ()
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Nan Cheng: Anhui University
Chao Lu: Anhui University
Jibing Qi: Hefei Normal University
Xuejun Wang: Anhui University

Statistical Papers, 2022, vol. 63, issue 2, No 3, 397-419

Abstract: Abstract In this paper, we investigate the complete moment convergence for randomly weighted sums of extended negatively dependent (END) random variables. The results obtained in this paper extended the corresponding one of Li et al. (J Inequalities Appl 2017:16, 2017). As an application, we study the complete consistency for the estimator of semiparametric regression models based on END random variables by using the complete convergence that we established. Finally, we have conducted comprehensive simulation studies to demonstrate the validity of obtained theoretical results.

Keywords: Extended negatively dependent random variables; Complete moment convergence; Randomly weighted sums; Semiparametric regression models; Complete consistency; 60F15; 62G05; 62G20 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00362-021-01244-1

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