Using the knife cutting method and Bayes parameter estimation method, under the weighted squared loss function, this paper obtains the exact form of Bayes estimation of the Rayleigh distribution with the prior distribution is Jefferys uninformative prior distribution and Gamma distribution. On this basis, the knife-cut Bayesian estimation of parameters is further studied. Finally, the MCMC (Markov Chain Monte Carlo) algorithm is used in the R software to conduct numerical simulations of the Bayesian estimation and jackknife Bayesian estimation of the parameters of the Rayleigh distribution. The simulation results show that when the sample size is large, the simulation effect of the jackknife Bayesian estimation is better under the same prior distribution.

Based on the weighted p,q symmetric loss, the Bayes estimator of k-th order Erlang distribution para-meter is studied. The exact forms of the Bayes estimates of the parameters are given under different prior distributions. Furthermore, hierarchical Bayesian estimation and E-Bayes estimation is gained with Gamma prior distribution, and the rationality of the Bayesian estimation is verified by means of Monte Carlo simulation.

In the context of the digital economy, product review is an important source of information that reflects the real needs and emotions of consumers, and are also an important resource for exploring and analyzing product pain points. However, the diversity and complexity of a large amount of noise information and consumer emotional expression in product reviews challenge the identification and quantification of product pain points. In order to help enterprises accurately locate product pain points, improve product competitiveness, meet consumer needs, and innovate product optimization strategies, this paper builds a quantitative model of product pain points based on opinions. The model uses dependent syntax technology to formulate extraction rules and filtering rules for evaluation objects, emotional words and modifiers, and extracts a complete combination of opinions from product reviews. This paper defines the calculation method of the emotional value of the point of opinion combination and the emotional value of the evaluation object, and passes the correspondence between coarse-grained attributes and fine-grained features, a quantitative model of product pain points has been built. Empirical evidence proves that the model in this paper can effectively identify and quantify the pain points of the product, provide a scientific decision-making basis for enterprises to iterate and upgrade products and improve user experience.

Aiming at the problems of poor training performance and high false positive detection rate of existing intrusion data feature extraction algorithms in small sample environment, a feature extraction algorithm based on fusion residual network is designed. Firstly, the small sample data is preprocessed to reduce the dimension of the input data. Secondly, the residual module stack is used to form a convolutional layer to improve the data training ability of the model and the feature extraction ability of small sample data. Based on the gating mechanism of the short-time memory network model, the flow loss of input data features is adjusted and controlled in real time. Finally, the minimum objective function method is used to optimize the final feature classification results. The experimental results show that the data set detection time of fusion residual network is short, iteration can be completed within 60 times, and the detection accuracy rate for different types of attacks is more than 97%.

Analyzing the complex spatial structure of the city, identifying the distribution characteristics of urban functional facilities and the types of regional urban functional zones can provide important data support for optimizing the spatial layout of the city and promoting the sustainable development of the city. A city functional area recognition method based on TF-IDF (Term Frequency-Inverse Document Frequency) algorithm is proposed, which integrates OSM (Open Street Map) road network and POI (Point of Interest) data, taking the urban area of Hefei city as the research object. Firstly, we analyze the spatial distribution pattern of POI by using average nearest neighbor and hotspot analysis; then we use OSM road network to divide the study area, obtain the basic study units which are independent of each other and have socio-economic functions, and then use TF-IDF algorithm to weight the POI data, and at the same time, combine with the frequency density ratio to identify the division of the city's functional areas, and then compare and analyze the spatial distribution characteristics of the different functional areas. The results show that all types of POIs show obvious clustering distribution characteristics, and the spatial clustering patterns of cold and hot spots in the three types of POIs, namely public, residential, and commercial services, are relatively similar, but the degree of clustering is higher in commercial land. Urban functional zones include twenty-one types of functional zones, green space and traffic-related functional zones are concentrated in local key areas, the spatial distribution patterns of public, commercial and residential are relatively close, and the distribution of industrial functional zones is very consistent with the industrial development zones of Hefei, so that the overall results of the identification are in line with the actual situation of Hefei.

A survey of 481 children aged 9 to 15 in five public schools in Jiangsu was conducted to explore the relationship between physical activity levels, emotional intelligence and school bullying. Participants completed the “youth physical activity” questionnaire to measure the level of physical activity of children, bullying, general aggression, bullying risk, positive and negative behavior. We use “trait meta-affective scale” to assess attention, discrimination and emotional resilience. Binary logistic regression analysis was used to determine the relationship between physical activity, bullying and emotional intelligence. We get the results that a total of 68.6% of participants have low levels of physical activity. The bullying index is 54.3%. Students who do not participate in sports regularly are more likely to be either victims of school bullying or perpetrators of general aggression. In addition, girls who were less in physically active had less control over their emotions. The results suggest that schools should encourage physical activity and raise the physical activity levels of school-age children, which can help reduce bullying and violence in schools by resolving bad emotions and improving mental health.

This paper analyzes the correlation between the isokinetic muscle strength of the upper limbs and the special performance of Chinese elite disabled male weightlifters, finds the biomechanical indexes that are significantly related to the performance of the powerlifting, and finally establishes the multiple linear regression equation of the performance of the powerlifting.MethodsThe Cybex-norm isokinetic force measurement system is used to test the flexor and extensor muscle groups of the upper limb joints of disabled weightlifters of the National team, to explore the isokinetic muscle force characteristics of the upper limb joints. Pearson correlation analysis was conducted between the isokinetic muscle force indicators of the upper limb and the special results, to establish the multiple linear regression equation of the Powerlifting performance.Results(1) Shoulder extensor muscle difference and flexor muscle difference are 10% and 12%, and the peak torque ratios of left and right flexor and extensor muscles are 1.16 and 1.15; Elbow extensor muscle difference and flexor muscle difference are 11% and 10%, and the left and right flexor and extensor peak torque ratios are 0.60and 0.64; (2) Right shoulder extensor PT/BW, left shoulder flexor PT/BW and left F/E were moderately positively correlated with relative powerlifting performance, but the results were not significant (p>0.05). The PT/BW of the right elbow extensor muscle was highly significantly positively correlated with the relative powerlifting performance (p<0.01); (3) The regression equation of strength powerlifting is as follows: Y=2.216+0.922x1+2.806x2-1.444x3.Conclusion(1) The isometric muscle strength of shoulder and elbow joint of Chinese elite disabled male weightlifters is higher than that of the general population, the strength of the homonymic muscles on both sides is balanced, and the F/E is in line with the characteristics of powerlifting; (2) The determination coefficient R2 of the regression equation of male strength powerlifting is 0.987, which can effectively predict the results of powerlifting. It is suggested that we should select athletes with strong elbow extensor muscle during selecting disabled weightlifters.