Hydrological events should be described through several correlated variables, so multivariate HFA has gained popularity and become an active research field during recent years. However, at present multivariate HFA mai...Hydrological events should be described through several correlated variables, so multivariate HFA has gained popularity and become an active research field during recent years. However, at present multivariate HFA mainly focuses directly on fitting the frequency distribution without confirming whether the assumptions are satisfied. Neglecting testing these assumptions could get severely wrong frequency distribution. This paper uses multivariate Mann-Kendal testing to detect the multivariate trends of annual flood peak and annual maximum 15 day volume for four control hydrological stations in the?Upper Yangtze River Basin. Results indicate that multivariate test could detect the trends of joint variables, whereas univariate tests can only detect the univariate trends. Therefore, it is recommended to jointly apply univariate and multivariate trend tests to capture all the existing trends.展开更多
指数和C(m,n,r,s;q)的高次幂均值计算与上界估计方面的研究与诸多数论问题联系密切,例如华林问题等。设p为奇素数,关注参数n=1,指数幂r=4,s=2条件下的一类二项指数和的四次幂均值计算问题。利用解析方法,借助Dirichlet特征的奇偶性、正...指数和C(m,n,r,s;q)的高次幂均值计算与上界估计方面的研究与诸多数论问题联系密切,例如华林问题等。设p为奇素数,关注参数n=1,指数幂r=4,s=2条件下的一类二项指数和的四次幂均值计算问题。利用解析方法,借助Dirichlet特征的奇偶性、正交性及特征和的性质,研究了形如C(m,1,4,2;p)的二项指数和的四次均值计算,给出了在素数p≡3 mod 4情况下上述二项指数和的一个精确的计算公式。同时,对于此类研究内容,该文也提出了一些有待解决的公开问题。展开更多
文摘Hydrological events should be described through several correlated variables, so multivariate HFA has gained popularity and become an active research field during recent years. However, at present multivariate HFA mainly focuses directly on fitting the frequency distribution without confirming whether the assumptions are satisfied. Neglecting testing these assumptions could get severely wrong frequency distribution. This paper uses multivariate Mann-Kendal testing to detect the multivariate trends of annual flood peak and annual maximum 15 day volume for four control hydrological stations in the?Upper Yangtze River Basin. Results indicate that multivariate test could detect the trends of joint variables, whereas univariate tests can only detect the univariate trends. Therefore, it is recommended to jointly apply univariate and multivariate trend tests to capture all the existing trends.
文摘指数和C(m,n,r,s;q)的高次幂均值计算与上界估计方面的研究与诸多数论问题联系密切,例如华林问题等。设p为奇素数,关注参数n=1,指数幂r=4,s=2条件下的一类二项指数和的四次幂均值计算问题。利用解析方法,借助Dirichlet特征的奇偶性、正交性及特征和的性质,研究了形如C(m,1,4,2;p)的二项指数和的四次均值计算,给出了在素数p≡3 mod 4情况下上述二项指数和的一个精确的计算公式。同时,对于此类研究内容,该文也提出了一些有待解决的公开问题。
