Empirical Statistical Analysis Of The Velocity Distribution In The Competition Of Human

Our research paper based on skiing,running,cycling,study the characteristics of the human dynamics and the link between each other.Empirical statistical the velocity distribution of the skiing,running and cycling,we make the New York City marathon as the main object to study the connection between the ranking changes and skewness in different internal timing lengths of the marathon.The main aspects of this study are as follows:1.According to empirical statistics the velocity distribution of the Sweden skiing,New York City marathon and Germany bicycle races,we found that the ski racing can be fitted well with Pulse function,the run racing can be fitted with Log-Normal function and the cycling follows Gauss distribution.There has one thing that we need to pay attention,the distribution of the three different races have some differences.The velocity distribution has a trend towards the right in the skiing and the running races,and the cycling competition velocity distribution is to the left.2.Empirical statistical analysis of the relationship between skewness and energy expenditure of unit course in different sports.We found two results,the one is that there has a positive correlation between skewness and energy consumption of unit course in different sports.The other one is that there has no correlation between skewness and energy consumption of unit course in same sports.The skewness is varies with different distance in the same sport,but the energy consumption of unit course almost keeps a certain value.3.The New York marathon not only record the entire time of the runners in the whole schedule,also record every 5 km of competition time,based on the data we can calculate the mean velocity of the runners in the whole schedule and every 5 km lengths.According to statistical analysis the mean velocity of the entire process,we divided the runners into two groups,one is the runners who with fast speed and the other is the rest of the runners.We defined them as the fast group,the slow group separately.Through analyzed the skewness of the velocity distribution,we found that there has a significant difference in skewness of velocity distribution between the two groups in the eight middle timing stages.The skewness of the velocity distribution in the fast group is increased in the first half and then decreased,but in the slow group the skewness of velocity distribution is decreased in the first half and increased in the second half.By statistical analysis the velocity distribution in the internal course,we learned that the changes of rank change value almost corresponded to the skewness value in the slow group.In the fast group the skewness of velocity distribution has not corresponding relation with the rank change.4.The analysis of the world record of different distances in running,swimming,indoor rowing and flat horse racing,we obtained the corresponding scatter diagram of the mean velocity with record time in each sports,and studyed the relationship between human energy expenditure and statistical graph,we learned that the change of the world record velocity distribution corresponds to three different energy supply systems,namely: ATP-CP system,anaerobic glycolysis system,aerobic oxidation system.