Results 21 to 30 of about 39,415 (259)
Strong laws of large numbers for sub-linear expectations [PDF]
Science China Mathematics, 2015 We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed (IID) random variables for sub-linear expectations initiated by Peng. It turns out that these theorems are natural and fairly neat extensions of the classical Kolmogorov's strong law of large numbers to the case where
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Moderate deviation principle for $ m $-dependent random variables under the sub-linear expectation
AIMS Mathematics, 2022 <abstract><p>Let $ \{X_n, n\geq1\} $ be a sequence of $ m $-dependent strictly stationary random variables in a sub-linear expectation $ (\Omega, \mathcal{H}, \mathbb{E}) $. In this article, we give the definition of $ m $-dependent sequence of random variables under sub-linear expectation spaces taking values in $ \mathbb{R} $.
Shuang Guo, Yong Zhang
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Novel aerosol extinction coefficients and lidar ratios over the ocean from CALIPSO–CloudSat: evaluation and global statistics [PDF]
Atmospheric Measurement Techniques, 2019 Aerosol extinction coefficients (σa) and lidar ratios (LRs) are retrieved over the ocean from CALIPSO's Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP) attenuated backscatter profiles by solving the lidar equation constrained with aerosol ...
D. Painemal +7 more
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The convergence rate for the laws of logarithms under sub-linear expectations
AIMS Mathematics, 2023 <abstract><p>Let $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $. The necessary and sufficient conditions for the convergence rate on the laws of the logarithms and the law of the iterated logarithm are obtained.</p&
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AIMS Mathematics, 2023 <abstract><p>The aim of this paper is to study and establish precise asymptotics for complete integral convergence in the law of the logarithm under the sub-linear expectation space. The methods and tools in this paper are different from those used to study precise asymptotics theorems in probability space. We extend precise asymptotics for
Lizhen Huang, Qunying Wu
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On the law of the iterated logarithm under the sub-linear expectations
, 2021 In this paper, we establish some general forms of the law of the iterated logarithm for independent random variables in a sub-linear expectation space, where the random variables are not necessarily identically distributed. Exponential inequalities for the maximum sum of independent random variables and Kolmogorov's converse exponential inequalities ...
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Central limit theorems for sub-linear expectation under the Lindeberg condition [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we investigate the central limit theorems for sub-linear expectation for a sequence of independent random variables without assumption of identical distribution. We first give a bound on the distance between the normalized sum distribution and G-normal distribution which can be used to derive the central limit theorem for sub-linear ...
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Northern North Atlantic climate variability controls on ocean carbon sinks in EC-Earth3-CC [PDF]
BiogeosciencesThe northern North Atlantic (NA) is an important net sink of atmospheric CO2, though atmosphere–ocean CO2 fluxes exhibit substantial variability across different timescales.
A. Pedersen +3 more
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PLoS ONE, 2021 BackgroundMore than half of women of reproductive age in India have anemia. Over the last decade, India has made some progress towards reducing anemia in pregnant women, but non-pregnant women, who make up the largest sub group of people with anemia, are
Erica Sedlander +3 more
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Monex: Journal Research Accounting Politeknik Tegal, 2019 User satisfaction is very important for an educational institution, one of them is a university. Quality services are absolutely necessary to meet student expectations, the better the quality of SIAKAD given by the university to students will also ...
Bahri Kamal +2 more
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