设{X_n,n≥1}是i.i.d.随机变量序列,X_n,1≤…≤X_(n,n)是X_1,…,X_n的次序统计量。又设k_(n,1,) k_(n,2)是满足条件1≤k_(n,1)<k_(n,2)≤n的整数而且对某0<a_1<a_2<1和某c_1,C_2∈R,有■n^(1/2)(k_n,i/n-a_i)=c_i,i=1,2....设{X_n,n≥1}是i.i.d.随机变量序列,X_n,1≤…≤X_(n,n)是X_1,…,X_n的次序统计量。又设k_(n,1,) k_(n,2)是满足条件1≤k_(n,1)<k_(n,2)≤n的整数而且对某0<a_1<a_2<1和某c_1,C_2∈R,有■n^(1/2)(k_n,i/n-a_i)=c_i,i=1,2.本文给出了截断和S_n~*=sum from j=k_(m,l) to k_(n,s) X_(n,j)的渐近分布。我们的结果是Csorgo,Haeusler和Mason的一个定理的推广。展开更多
A new so called truncation error reduction method (TERM) is developed in this work. This is an iterative process which uses a coarse grid (2 h ) to estimate the truncation error and then reduces the error on the or...A new so called truncation error reduction method (TERM) is developed in this work. This is an iterative process which uses a coarse grid (2 h ) to estimate the truncation error and then reduces the error on the original grid ( h ). The purpose is to use coarse grids to get more accurate results and to develop a new method which could do coarse grid direct numerical simulation (DNS) for more accurate and acceptable DNS solutions.展开更多
In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main th...In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main theorem for meromorphic functions with finite growth index which share meromorphic functions(may not be small functions).As its application,we also extend the result of a finite range set with truncated multiplicity.展开更多
文摘设{X_n,n≥1}是i.i.d.随机变量序列,X_n,1≤…≤X_(n,n)是X_1,…,X_n的次序统计量。又设k_(n,1,) k_(n,2)是满足条件1≤k_(n,1)<k_(n,2)≤n的整数而且对某0<a_1<a_2<1和某c_1,C_2∈R,有■n^(1/2)(k_n,i/n-a_i)=c_i,i=1,2.本文给出了截断和S_n~*=sum from j=k_(m,l) to k_(n,s) X_(n,j)的渐近分布。我们的结果是Csorgo,Haeusler和Mason的一个定理的推广。
基金Supported by the National Naural Science Foundation of China (1 0 3 71 0 65 ) InitiationFoundation for Ph.D of Univ.ersity.of Shanghai for Science and Technology(X45 1 )
文摘A new so called truncation error reduction method (TERM) is developed in this work. This is an iterative process which uses a coarse grid (2 h ) to estimate the truncation error and then reduces the error on the original grid ( h ). The purpose is to use coarse grids to get more accurate results and to develop a new method which could do coarse grid direct numerical simulation (DNS) for more accurate and acceptable DNS solutions.
基金Supported by National Natural Science Foundation of China(12061041)Jiangxi Provincial Natural Science Foundation(20232BAB201003).
文摘In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main theorem for meromorphic functions with finite growth index which share meromorphic functions(may not be small functions).As its application,we also extend the result of a finite range set with truncated multiplicity.
