Nonparametric estimation of $${\mathbb {P}}(X

Cao Xuan Phuong () and Le Thi Hong Thuy ()
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Cao Xuan Phuong: Ton Duc Thang University
Le Thi Hong Thuy: Van Lang University

Metrika: International Journal for Theoretical and Applied Statistics, 2024, vol. 87, issue 8, No 3, 973-1006

Abstract: Abstract Let X, Y be continuous random variables with unknown distributions. The aim of this paper is to study the problem of estimating the probability $$\theta := {\mathbb {P}}(X

Keywords: Deconvolution; Non-standard error; Consistency; Convergence rate; 62G05; 62G20 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00184-023-00941-1

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