首页|Weighted Probability Density Estimator with Updated Bandwidths

Weighted Probability Density Estimator with Updated Bandwidths

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  • 维普
In this paper,the authors study a class of weighted version of probability density estimator.It is shown that the weighted estimator contains some existing estimators of probability density,no matter they are recursive or non-recursive.Some statistical results including weak consistency,strong consistency,rate of strong consistency,and asymptotic normality are established under some mild conditions.Moreover,the random weighted estimator is also investigated.Some numerical simulations and a real data analysis are presented to study the numerical performances of the estimators.

Asymptotic normalityconsistencynumerical simulationprobability densityreal data analysisupdated bandwidthsweighted estimator

WU Yi、YU Wei、WANG Xuejun、PRAKASA RAO B L S

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School of Big Data and Artificial Intelligence,Chizhou University,Chizhou 247000,China

School of Big Data and Statistics,Anhui University,Hefei 230601,China

CR Rao Advanced Institute of Mathematics,Statistics and Computer Science,Hyderabad 500046,India

国家自然科学基金国家自然科学基金国家自然科学基金国家社会科学基金安徽省自然科学基金安徽省自然科学基金the"INSA Senior Scientist"scheme at the CR Rao Advanced Institute of Mathematics,Statistics and Computer Science,Hyderabad,India

12201079122010041187107222BTJ0592108085QA152108085MA06500046

2024

10.1007/s11424-024-2054-2

系统科学与复杂性学报(英文版)
中国科学院系统科学研究所

系统科学与复杂性学报(英文版)

EI
影响因子：0.181
ISSN：1009-6124
年,卷(期)：2024.37(2)
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