We establish a maximal probability inequality for a class of random variables in the framework of measure-free, Riesz spaces. In the ``other" Kolmogorov's inequality, we consider an upper bound for independent random variables and estimate the lower bound for the sums of random variables in Riesz spaces setting. Furthermore, we get an upper bound for the variance of the sum of random variables.
Divandar,M. S. and Abbasnia,A. (2023). The "other" Kolmogorov's inequality in Riesz spaces. Journal of Frame and Matrix Theory, 1(1), 1-8. doi: 10.22034/jfmt.2023.182281
MLA
Divandar,M. S. , and Abbasnia,A. . "The "other" Kolmogorov's inequality in Riesz spaces", Journal of Frame and Matrix Theory, 1, 1, 2023, 1-8. doi: 10.22034/jfmt.2023.182281
HARVARD
Divandar M. S., Abbasnia A. (2023). 'The "other" Kolmogorov's inequality in Riesz spaces', Journal of Frame and Matrix Theory, 1(1), pp. 1-8. doi: 10.22034/jfmt.2023.182281
CHICAGO
M. S. Divandar and A. Abbasnia, "The "other" Kolmogorov's inequality in Riesz spaces," Journal of Frame and Matrix Theory, 1 1 (2023): 1-8, doi: 10.22034/jfmt.2023.182281
VANCOUVER
Divandar M. S., Abbasnia A. The "other" Kolmogorov's inequality in Riesz spaces. JFMT, 2023; 1(1): 1-8. doi: 10.22034/jfmt.2023.182281
