Search

In this article, we study the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables under sub-linear expectations. We also give some sufficient assumptions for the convergence. Moreover, we get the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of extended negatively dependent random variables. The results obtained in this paper generalize the relevant ones in probability space. [ABSTRACT FROM AUTHOR]

Suppose that { a i , − ∞ < i < ∞ } is an absolutely summable set of real numbers, { Y i , − ∞ < i < ∞ } is a subset of identically distributed, negatively dependent random variables under sub-linear expectations. Here, we get complete convergence and Marcinkiewicz-Zygmund strong law of large numbers for the partial sums of moving average processes { X n = ∑ i = − ∞ ∞ a i Y i + n , n ≥ 1 } produced by { Y i , − ∞ < i < ∞ } of identically distributed, negatively dependent random variables under sub-linear expectations, complementing the relevant results in probability space. [ABSTRACT FROM AUTHOR]

In this paper, we study the complete convergence and complete moment convergence of linear processes generated by negatively dependent random variables under sub-linear expectations. The obtained results complement the ones of Meng, Wang, and Wu (Commun. Stat., Theory Methods 52(9):2931–2945, 2023) in the case of negatively dependent random variables under sub-linear expectations. [ABSTRACT FROM AUTHOR]

Let X , X n , n ≥ 1 be a sequence of independent, identically distributed random variables under sublinear expectations with C V X 2 < ∞ , lim c ⟶ ∞ E X 2 − c + = 0 , and E ˘ X = E ˘ − X = 0. Write S 0 = 0 , S n = ∑ k = 1 n X n , and M n = max 0 ≤ k ≤ n S k , n ≥ 1. For d > 0 and a n = o log log n − d , we obtain the exact rates in the law of iterated logarithm of a kind of weighted infinite series of C V M n − ε + a n σ ¯ n log log n d + as ε ↓ 0. [ABSTRACT FROM AUTHOR]

By using Lebesgue bounded convergence theorem, we prove precise asymptotics in the law of the iterated logarithm for independent and identically distributed random variables under sublinear expectation. [ABSTRACT FROM AUTHOR]

We investigate the complete p th moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete p th moment convergence of weighted sums of independent, identically distributed random variables under sublinear expectations space, which complement the corresponding results obtained in Guo and Shan (2020). [ABSTRACT FROM AUTHOR]

By an inequality of partial sum and uniform convergence of the central limit theorem under sublinear expectations, we establish precise asymptotics in the law of the iterated logarithm for independent and identically distributed random variables under sublinear expectations. [ABSTRACT FROM AUTHOR]

In recent years, pregnant women in China generally face problems such as unbalanced and excessive nutrition, lack of proper exercise during pregnancy, which shows a significant increase in weight during pregnancy, leading to an increasing trend of perinatal complications. At present, there is less sports health management system for pregnant women throughout pregnancy. In view of this, based on the existing research in related fields, this study deeply explores the appropriate monitoring methods of pregnant women's sports in China. In this study, effective and convenient testing methods and evaluation criteria were proposed for pregnant women's sports and psychology. The research idea was a method based on the pulse wave to detect pregnant women's cardiac reserve capacity, and grading the Diastolic/Systolic value of pregnant women as a reference for grading individualized target heart rate range of moderate intensity exercise. The effective time and energy expenditure of pregnant women were assessed by monitoring the exercise process. The purpose is to help and guide pregnant women in the whole process of pregnancy self-movement management, and thus improve the quality of maternal health care services in China. [ABSTRACT FROM AUTHOR]

Cardiotocography (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. [ABSTRACT FROM AUTHOR]

Background: Fetal electrocardiography (FECG) places electrodes on the maternal abdomen to convert the fetal electrocardiosignals into fetal heart rate (FHR), improving the accuracy and comfort of pregnant woman. At the same time, FECG simplifies the procedure of long term monitoring in the perinatal period.Objective: Investigating the influence of gestational age and time of day on FHR features to distinguish between non-stress test (NST) normal fetuses and NST suspicious fetuses.Methods: A novel method of FHR baseline estimation was presented; then baseline value and fetal heart rate variation (FHRV) were analyzed in the time domain using FHR signals recorded from 52 fetuses.Results: Baseline values in 1:00, 2:00, 4:00, 5:00 and heart rate variation (HRV) distribution showed a significant difference (p< 0.05) between NST normal fetuses and NST suspicious fetuses.Conclusions: The results suggest that NST normal and suspicious fetuses had same outcome and different FHR features. Accurately distinguishing normal fetuses and suspicious fetuses is important for lowering the false positive rate and reducing unnecessary clinical intervention. [ABSTRACT FROM AUTHOR]

Non-stress testing (NST) is the primary method of determining fetal condition during the perinatal period, and as such, has high specificity. However, short-term monitoring and visual inspection of the cardiotocogram demonstrates several limitations in understanding fetal status which can be mistaken as predictors of neonatal asphyxia. Fetal electrocardiography (FECG) is a novel, long-term monitoring method which can reflect more objective and accurate fetal information. This article presents experimental results of four fetal heart rate (FHR) acceleration features of 44 fetuses extracted from FECG. The novelty of this approach lies in its combined use of parameters which can express both duration and amplitude of heart rate acceleration. Results demonstrate that most parameters significantly differ between normal fetuses and fetuses with suspected abnormalities. Results are promising for the identification of a set or parameters which may be used as classifiers to improve the success rate when distinguishing between normal and abnormal fetuses. [ABSTRACT FROM PUBLISHER]

Discusses the results of an optimization study on the Wells-turbine-type wave energy system of a wave power installation in Scotland. System description; System model; Simulation results; Aim of reducing power ripple content and improve efficiency.

Fetal ECG can be obtained in a non-invasive manner to monitor fetal growth status. In this study, a fetal heart rate calculation system was proposed, which consists of the fetal ECG recorder (MF-HOLTER) and the fetal ECG monitoring software (FECG-MS). The abdomen electrocardiogram (AECG) of pregnant woman is acquired through the MF-HOLTER. The FECG-MS packs the AECG data and calls the fetal ECG separation algorithm to obtain the separated FECG and the fetal QRS (FQRS) position. The fetal heart rate (FHR) is further obtained by calculating the R-R interval value. At the same time, this study proposed a FQRS position correction algorithm to calculate the correct FHR value. In order to verify the accuracy of the FHR calculation, the ECG signal of FLUKE’s PS320 FETAL SIMULATOR and clinical data were simultaneously tested. The accuracy rate is over 98% in processing the simulator’s data. In processing clinical data, the FHR values obtained by both the system proposed in this study and Monica AN24 are very close, and the difference is less than 1 bpm. The results show that the fetal heart rate calculation system is accurate and stable, and has a positive application value and prospect. [ABSTRACT FROM AUTHOR]

The risk factors of hypertensive disorders in pregnancy (HDP) could be summarized into three categories: clinical epidemiological factors, hemodynamic factors and biochemical factors. To establish models for early prediction and intervention of HDP. This study used the three types of risk factors and Support Vector Machine (SVM) to establish prediction models of HDP at different gestational weeks. The average accuracy of the model was gradually increased when the pregnancy progressed, especially in the late pregnancy 28–34 weeks and ⩾ 35 weeks, it reached more than 92%. Multi-risk factors combined with dynamic gestational weeks’ prediction of HDP based on machine learning was superior to static and single-class conventional prediction methods. Multiple continuous tests could be performed from early pregnancy to late pregnancy. [ABSTRACT FROM AUTHOR]

Background: Fetal electrocardiography (FECG) places electrodes on the maternal abdomen to convert the fetal electrocardiosignals into fetal heart rate (FHR), improving the accuracy and comfort of pregnant woman. At the same time, FECG simplifies the procedure of long term monitoring in the perinatal period., Objective: Investigating the influence of gestational age and time of day on FHR features to distinguish between non-stress test (NST) normal fetuses and NST suspicious fetuses., Methods: A novel method of FHR baseline estimation was presented; then baseline value and fetal heart rate variation (FHRV) were analyzed in the time domain using FHR signals recorded from 52 fetuses., Results: Baseline values in 1:00, 2:00, 4:00, 5:00 and heart rate variation (HRV) distribution showed a significant difference (p< 0.05) between NST normal fetuses and NST suspicious fetuses., Conclusions: The results suggest that NST normal and suspicious fetuses had same outcome and different FHR features. Accurately distinguishing normal fetuses and suspicious fetuses is important for lowering the false positive rate and reducing unnecessary clinical intervention.