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A nonparametric copula density estimator incorporating information on bivariate marginals

2016/01/30 by Yu-Hsiang Cheng, Cheng, Yu-Hsiang, Tzee‐Ming Huang +1
Computer Science · Economics, Econometrics and Finance · Mathematics · #FOS: Computer and information sciences #Financial Risk and Volatility Modeling #Image and Signal Denoising Methods #Methodology (stat.ME) #Statistical Methods and Inference

paper · pdf · doi:10.48550/arxiv.1602.00109

openalex publication_date 2016/01/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose a copula density estimator that can include information on bivariate marginals when the information is available. We use B-splines for copula density approximation and include information on bivariate marginals via a penalty term. Our estimator satisfies the constraints for a copula density. Under mild conditions, the proposed estimator is consistent.

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