Let [[EQUATION]] be a sequence of independent and identically distributed random variables on a sub-linear expectation space, [[EQUATION]]. We consider the moments of [[EQUATION]]. The sufficient and necessary conditions for the moments to be finite are given. As an application, we obtain the...

A novel Ti3C2 modified and Fe doped ZnGa2O4 (ZnGa2O4-Ti3C2-Fe) are designed and prepared by hydrothermal method according to the mechanism of photoreducted CO2 into CO and CH4. The ZnGa2O4-Ti3C2-Fe exhibits higher photocatalytic activity and selectivity to product CH4 on photoreducted CO2...

The COVID-19 pandemic is forcing researchers, clinicians, and policymakers to accelerate the evaluation of treatments and vaccines. Critical to these evaluations is the ability to characterize the uncertainty of inferences in clear terms accessible to a broad set of stakeholders with varying...

The <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$\alpha $$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi mathvariant="italic">α</mi> </math> </EquationSource> </InlineEquation>-stable L<InlineEquation ID="IEq6"> <EquationSource Format="TEX">$$\acute{\mathrm{e}}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mover accent="true"> <mi mathvariant="normal">e</mi> <mo>´</mo> </mover> </math> </EquationSource> </InlineEquation>vy motion together with the Poisson process and Brownian motion are the most important examples of L<InlineEquation ID="IEq7"> <EquationSource Format="TEX">$$\acute{\mathrm{e}}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mover accent="true"> <mi mathvariant="normal">e</mi> <mo>´</mo> </mover> </math> </EquationSource> </InlineEquation>vy processes, which form the first class of stochastic processes being studied in the modern...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>