Consistency properties for the nearest neighbour estimator of the density function and applications based on α-mixing samples

DOI10.1080/02331888.2022.2108424zbMath1497.62089OpenAlexW4292454271MaRDI QIDQ5044081

Aiting Shen, Rui Wang

Publication date: 24 October 2022

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2022.2108424

zbMATH Keywords

consistencydensity function\(\alpha\)-mixingfailure rate functionnearest neighbour estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Cites Work

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• The consistency and asymptotic normality of nearest neighbor density estimator under \(\alpha\)-mixing condition
• Consistency of a nonparametric estimate of a density function for dependent variables
• The strong uniform consistency of nearest neighbor density estimates
• The rate of strong consistency of the nearest neighbor density estimator for negatively dependent random variables
• The asymptotic properties for the estimators of the survival function and failure rate function based on WOD samples
• On consistency of the nearest neighbor estimator of the density function and its applications
• The consistency of the nearest neighbor estimator of the density function based on WOD samples
• Biased and Unbiased Cross-Validation in Density Estimation
• A Nonparametric Estimate of a Multivariate Density Function
• Uniform Consistency of Some Estimates of a Density Function
• Strong Consistency of a Nonparametric Estimate of a Density Function

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