Online Variable Kernel Estimator: Application to Microarray Data Analysis

Yissam Lakhdar and El Hassan Sbai
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Yissam Lakhdar: Department of Physics, Faculty of Science, University Moulay Ismail, Meknes, Morocco
El Hassan Sbai: Ecole Supérieure de Technologie, University Moulay Ismail, Meknes, Morocco

International Journal of Operations Research and Information Systems (IJORIS), 2017, vol. 8, issue 1, 58-92

Abstract: In this work, the authors propose a novel method called online variable kernel estimation of the probability density function (pdf). This new online estimator combines the characteristics and properties of two estimators namely nearest neighbors estimator and the Parzen-Rosenblatt estimator. Their approach allows a compact online adaptation of the estimated probability density function from the new arrival data. The performance of the online variable kernel estimator (OVKE) depends on the choice of the bandwidth. The authors present in this article a new technique for determining the optimal smoothing parameter of OVKE based on the maximum entropy principle (MEP). The robustness and performance of the proposed approach are demonstrated by examples of online estimation of real and simulated data distributions.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:igg:joris0:v:8:y:2017:i:1:p:58-92

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