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math.NA2023
Nonlinear Expectation Inference for Efficient Uncertainty Quantification and History Matching of Transient Darcy Flows in Porous Media with Random Parameters Under Distribution Uncertainty
Zhao Zhang, Xinpeng Li, Menghan Li +4
The uncertainty quantification of Darcy flows using history matching is important for the evaluation and prediction of subsurface reservoir performance. Conventional methods aim to…
math.PR2023★ 1 cited
On the calculation of upper variance under multiple probabilities
Xinpeng Li, Miao Yu, Shiyi Zheng
The notion of upper variance under multiple probabilities is defined by a corresponding minimax optimization problem. This paper proposes a simple algorithm to solve the related mi…
math.PR2023
Maximum Likelihood Estimation for Maximal Distribution under Sublinear Expectation
Xinpeng Li, Yue Liu, Jiaquan Lu
Maximum likelihood estimation is a common method of estimating the parameters of the probability distribution from a given sample. This paper aims to introduce the maximum likeliho…