Under the conditions on covariances of the original random variables, a Glivenko-Cantelli theorem for associated sequences and weak convergence for empirical processes of stationary associated sequences are obtained, ...Under the conditions on covariances of the original random variables, a Glivenko-Cantelli theorem for associated sequences and weak convergence for empirical processes of stationary associated sequences are obtained, assuming the random variables to be discrete.展开更多
According to the telomere repeated sequences of rice, two primers: (TTTAGGG) 3 and (CCCTAAA) 3CCC were used to amplify rice telomere associated sequences (TASs). For PCR template preparation, total DNA was digested wi...According to the telomere repeated sequences of rice, two primers: (TTTAGGG) 3 and (CCCTAAA) 3CCC were used to amplify rice telomere associated sequences (TASs). For PCR template preparation, total DNA was digested with restrictive endonuclease and then ligated.Using the ligates or total DNA as template, eight fragments were obtained with the single primer by the PCR reaction.To confirm that the sequences are derived from telomeric DNA, we conducted Bal31 digestion analysis. Of the eight fragments, seven were susceptible to Bal31 treatment, suggesting that they were TASs. These DNA fragments were further demonstrated to be rice sub telomeric sequences by RFLP mapping. Five sequences have been mapped to the distal ends on rice chromosome 5,6,7 and 9, and two other sequences have been mapped at interstitial sites, suggesting that (TTTAGGG) n also exist in the middle of rice chromosomes. All eight fragments were sequenced and characterized.展开更多
设{Xn;n≥1}是一均值为0、方差有限的正相伴平稳序列.记Sn=sum Xk,Mn from k=1 to n =maxk≤n︱Sk︱,n≥1.证明了在一定条件下,由E︱X1︱p(︱X1︱1/α)<∞可推出对任意的ε>0,有sum npα-2-αh from n=1 to ∞ (n)E{Mn-εn1/p}+&...设{Xn;n≥1}是一均值为0、方差有限的正相伴平稳序列.记Sn=sum Xk,Mn from k=1 to n =maxk≤n︱Sk︱,n≥1.证明了在一定条件下,由E︱X1︱p(︱X1︱1/α)<∞可推出对任意的ε>0,有sum npα-2-αh from n=1 to ∞ (n)E{Mn-εn1/p}+<∞,其中h(n)为一在无穷处的缓变函数,{x}+=max{x,0}.展开更多
设{Xn,n≥1}是一均值为零、方差有限的正相伴平稳序列.记Sn=sum Xk,Mn=maxx≤n|Sk|,n≥1 from k=1 to n,并假设0<σ2=EX12+2 sum E X1 Xk<∞ from k=2 to ∞.在E|X1|2+δ<∞,δ∈(0,1],以及对某个α>1,sum Cov(X1,Xj)=O(n-...设{Xn,n≥1}是一均值为零、方差有限的正相伴平稳序列.记Sn=sum Xk,Mn=maxx≤n|Sk|,n≥1 from k=1 to n,并假设0<σ2=EX12+2 sum E X1 Xk<∞ from k=2 to ∞.在E|X1|2+δ<∞,δ∈(0,1],以及对某个α>1,sum Cov(X1,Xj)=O(n-α) from j=n+1 to ∞的条件下,建立了PA序列关于Chung型对数律的精确收敛速度.展开更多
By using weakly compatible conditions of selfmapping pairs, we prove a com-mon fixed point theorem for six mappings in generalized complete metric spaces. An example is provided to support our result.
文摘Under the conditions on covariances of the original random variables, a Glivenko-Cantelli theorem for associated sequences and weak convergence for empirical processes of stationary associated sequences are obtained, assuming the random variables to be discrete.
基金Supported by the National Natural Science Foundation of China (No.10071072)the project supported by Natural Science Fundation of Zhejiang Province (No.101016).
文摘In this paper, we obtain the invariance principle for linear processes generated by a negatively associated sequence.
文摘According to the telomere repeated sequences of rice, two primers: (TTTAGGG) 3 and (CCCTAAA) 3CCC were used to amplify rice telomere associated sequences (TASs). For PCR template preparation, total DNA was digested with restrictive endonuclease and then ligated.Using the ligates or total DNA as template, eight fragments were obtained with the single primer by the PCR reaction.To confirm that the sequences are derived from telomeric DNA, we conducted Bal31 digestion analysis. Of the eight fragments, seven were susceptible to Bal31 treatment, suggesting that they were TASs. These DNA fragments were further demonstrated to be rice sub telomeric sequences by RFLP mapping. Five sequences have been mapped to the distal ends on rice chromosome 5,6,7 and 9, and two other sequences have been mapped at interstitial sites, suggesting that (TTTAGGG) n also exist in the middle of rice chromosomes. All eight fragments were sequenced and characterized.
文摘设{Xn;n≥1}是一均值为0、方差有限的正相伴平稳序列.记Sn=sum Xk,Mn from k=1 to n =maxk≤n︱Sk︱,n≥1.证明了在一定条件下,由E︱X1︱p(︱X1︱1/α)<∞可推出对任意的ε>0,有sum npα-2-αh from n=1 to ∞ (n)E{Mn-εn1/p}+<∞,其中h(n)为一在无穷处的缓变函数,{x}+=max{x,0}.
文摘设{Xn,n≥1}是一均值为零、方差有限的正相伴平稳序列.记Sn=sum Xk,Mn=maxx≤n|Sk|,n≥1 from k=1 to n,并假设0<σ2=EX12+2 sum E X1 Xk<∞ from k=2 to ∞.在E|X1|2+δ<∞,δ∈(0,1],以及对某个α>1,sum Cov(X1,Xj)=O(n-α) from j=n+1 to ∞的条件下,建立了PA序列关于Chung型对数律的精确收敛速度.
文摘By using weakly compatible conditions of selfmapping pairs, we prove a com-mon fixed point theorem for six mappings in generalized complete metric spaces. An example is provided to support our result.
