SUMS

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Self-normalized Cramer-type Moderate Deviations for Functionals of Markov Chain被引量：1
《Acta Mathematicae Applicatae Sinica》2020年第2期294-313,共20页Xin-wei FENG Qi-Man SHAO 
partially supported by Hong Kong Research Grants Council General Research Fund 14304917.Corresponding author.
Let{xn,n≥0}be a Markov chain with a countable state space S and let f(·)be a measurable function from S to R and consider the functionals of the Markov chain yn:=f(xn).We construct a new type of self-normalized sums...
关键词：SELF-NORMALIZED partial SUMS Cramer-type moderate deviations Markov Chain ERGODIC 
Chromatic Sums of Biloopless Nonseparable Near-Triangulations on the Projective Plane
《Acta Mathematicae Applicatae Sinica》2013年第1期123-134,共12页Zhao-xiang Li Yan-pei Liu Bing-feng Si 
Supported by the National Natural Science Foundation of China (No. 10771225; 10871021; 71071016) ;Fundamental Research Funds for the Central Universities
In this paper, the chromatic sum functions of rooted biloopless nonsepavable near-triangulations on the sphere and the projective plane are studied. The chromatic sum function equations of such maps are obtained. From...
关键词：chromatic sum function biloopless TRIANGULATION enumerating function 
A NOTE OF CONVERGENCE RATES FOR SUMS OF ρ-MIXING SEQUENCES
《Acta Mathematicae Applicatae Sinica》1999年第2期172-177,共6页梁汉营 杨长森 
Let {Xn,n 1) be a sequence of mixing random variables, S(n)S, >0, d=1 or-1.This note investigates that where is an arbitrary but fixed positive number. As application we give some results on the convergence rates fo...
关键词：mixing sequence partial sum convergence rate 
ON BANDWIDTH SUMS OF GRAPHS
《Acta Mathematicae Applicatae Sinica》1995年第1期69-78,共10页姚兵 王建方 
For a graph G=(V,E) of order p, a 1-1 mapping f:V→{1,2,…,P) is called a labelling of G.Bsum(G)=minf{Σ(u,v)∈E|f(u)-f(v)|:f is a labellied of G} is called the bandwidth sum of G.In this paper, some lower bounds and ...
关键词：Bandwidth sum of a graph 
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