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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 39, Fasc. 9,
pages 127 - 138
DOI: 10.19195/0208-4147.39.1.9
 

COMPLETE CONSISTENCY FOR RECURSIVE PROBABILITY DENSITY ESTIMATOR OF WIDELY ORTHANT DEPENDENT SAMPLES

Chenlu Zhuansun
Xiaoxin Li

Abstract: In this paper, we will study the recursive density estimators of the probability density function for widely orthant dependent (WOD) random variables. The complete consistency and complete convergence rate are established under some general conditions.

2000 AMS Mathematics Subject Classification: Primary: 62G05; Secondary: 62G20.

Keywords and phrases: Complete consistency, complete convergence rate, recursive density estimator, widely orthant dependent random variable.

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