Nonparametric statistical inference for stochastic optimal control problems and its applications for financial investment
Yang Liu,
Yanzi Liang,
Xinchen Lan and
Zheng Lu
Finance Research Letters, 2024, vol. 64, issue C
Abstract:
Against a backdrop of financial decision-making, this study examines nonparametric statistical inference problems in stochastic optimal control problems. First, we construct a nonparametric estimation model using the wavelet estimation method for drift and diffusion coefficients. In this study, we focus on stochastic linear–quadratic (SLQ) problems, solved using Riccati equations, and apply this to a cash management problem within the linear–quadratic framework. The results show the effectiveness of the wavelet method using a numerical case.
Keywords: Nonparametric statistical inference; Wavelet estimation; Stochastic linear–quadratic problem; Riccati equation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:finlet:v:64:y:2024:i:c:s1544612324003970
DOI: 10.1016/j.frl.2024.105367
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