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In this article, we studied complete q th moment convergence of the moving average processes produced by m -widely acceptable (m -WA) random variables under sub-linear expectations. The results here extend those of the moving average processes generated by m -WOD random variables in probability. [ABSTRACT FROM AUTHOR]

ABSTRACTCardiotocography (CTG) is the basic method of monitoring foetal condition in the perinatal period. However, due to the limited insight into the CTG generation mechanism, some CTG recordings can be mistreated as a predictor of neonatal asphyxia, leading to a wrong assessment of the foetal status and improper obstetric intervention. Therefore, in case of suspicious CTG indications, a reliable verification of the true foetal status is vital for reducing the clinical diagnosis false-positive rate and avoiding the unnecessary obstetrician intervention. The paper presents the results obtained for 44 foetuses on the shares of three heart rate variation (HRV) ranges and quiet sleep cycles. This approach uses the parameters of the HRV range shares and quiet sleep cycles to analyse different types of foetuses. The results obtained show that most parameters reveal significant differences between normal and suspicious groups. This is quite lucrative for defining a set of coefficients, whose incorporation into a classifier will improve the accuracy of distinguishing the normal foetuses from suspicious ones.

In this paper we study the problem: How small are the increments of G -Brownian motion? We establish the Csörgő and Révész's type theorem for the increments of G -Brownian motion. [ABSTRACT FROM AUTHOR]

In this work, we establish moderate deviation principles for bounded functionals and empirical measures for nonhomogeneous Markov chains with finite state space under the condition of convergence of transition probability matrices for nonhomogeneous Markov chains in Cesàro sense. [ABSTRACT FROM AUTHOR]