A METHOD TO APPROXIMATE DISTRIBUTIONSOF RELATED STATISTICS

1.IntroductionandResultSupposethereisand--dimensional(d21)randomsampleXi,fromsomeprobabilityspace(fi,I,P)to(R',B,),Xi4Fi,Fibeingunknown,15i5n,n21.Whatconcernsusisthedistributionalpropertyofsomep-dimensional(p21)statisticTi~Ti(XIt''IX.;FI1'',Fi)whichisus…     

THE GOODNESS-OF-FIT TEST BY USING MULTIVARIATE RANDOM WEIGHTING METHOD

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RANDOM WEIGHTING METHOD FOR CENSORED REGRESSION MODEL

Rao and Zhao (1992) used random weighting method to derive the approximate distribution of the M-estimator in linear regression model. In this paper we extend the result to the censored regression model (or censored " Tobit" model).     

THE COMPARISON BETWEEN THE CHAOTIC DEGREES OF CHINESE AND AMERICAN STOCK MARKETS

1 IntroductionAt present most researches on the chaotic fluctuant law of stock market are restricted inseeking the proof that chaos edests in stock markets. But nothing has been done on the differencebetween the chaotic statuses of differellt coteries and the causes. That might relate to the highcomplealty of chaotic economic system so that ac simple variable cannot eXPlain its complexityand irregularity well. Song[1] put forward the degree of chaos for analyzing stock market, andit is a brid…     

A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS

The spectrum of neutron transport operator A in an arbitrary non-homogeneous slab geometry is discussed in consideration of anisotropic scatteringand fission.Under the assumptions that the boundary reflection coefficient func-tion α(v,μ),γ(v,μ)and the scattering-fission kernel k(x,v,v′,μ,μ′)are boundedmeasurable,and the total collision frequency v∑(x,v)is square integrable,it isshown that A has at most finite spectrum points in any strip{λ=β+i(?)|β_1(?)β(?)β_2},where β_2>β_1>-λ~*,with λ~* the essential infimum of v∑(x,v).Fi-nally,the asymptotic expansion of the solution for the time-dependent equation(dN)/(dt)=AN,N(0)=N_0 is given as a corollary.     

ON THE CONDITION FOR CONSISTENCY OF RESAMPLING ESTIMATORS OF VARIANCE OF TRIMMED L-STATISTICS

1.IntroductionLetXI,X2,''tX.beani.i.d.randomsamplewithcommondistributionfunction(c.d.f.)F(unknown),andFibetheempiricaldistributionfunction(e.d.f.)basedonthesample.ConsiderthefollowingfunctionalofFwhereF--'(t)ginf{x:F(x)2t}istheinversefunctionofF(inversef…     

SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTSS

1. Introduction and Main ResultsSince the definition on complete convergence of real random variables was introduced by Hsuand Robbins[1], there have been extensive literature on the complete convergence of i.i.d. realvalued random variables, see Baum and Katz ([2]), Bat and Su ([3]). In 1989, Yul4] extendedsome results in Bat and Su ([3]) to real valued independent but not necessarily identicallydistributed case. The main purpose of this paper is to extend the results of Yu[4] to B-value…     

A NOTE ON THE PAPER "ON THE CONNECTIVITY OF CAYLEY COLOR GRAPHS

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A NOTE ON THE S-UNIT EQUATION OVER FUNCTION FIELD

Inrecentthirtyyears,Diophantinegeometryhasbeenrapidlydeveloped.Theachievmentscanbemarkedbyaseriesofimportantresults,suchastheproofsofMordellconjecture,TateconjectureandShafarevichconjecture,throughremarkablegeneralizationstohigherdimensionsandarbitraryglobalfieldsbynewpowerfultranscendentalandarithmetic--geometricmethods.(Seethethirdenlargededitionof<>editedbyG.Faltings,G.Wtistholzetal.,particularlyseetheWilstholz'appendix[1]ofthisbook.)InthestudyofintegralsolutionstoDioph…     

A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION

In this paper we study the estimation of the regression function.We establish a law ofthe iterated logarithm for the random window-width kernel estimator and,as an application,fora nearest neighbor estimator.These results give sharp pointwise rates of strong consistency ofthese estimators.     

A RELATION BETWEEN THE MATCHING NUMBER AND LAPLACIAN SPECTRUM OF A TREE

Let T be a tree with matching number μ(T). In this paper we obtain the following result: If T has no perfect matchings, thenμ(T) is a lower bound for the number of nonzero Laplacian eigenvalues of T which are smaller than 2.     

带有滞留时间的流水作业计划排序方法研究

本文对带有滞留时间的流水作业车间以零件加工全长最小为目标的排序问题进行了分析和研究。分析证明了对于两台机床带有滞留时间的问题存在有效的多项式算法。本文还给出了三台以上机床带有滞留时间排序问题的启发式算法。     

ON THE COMPLETION TIME AND THE INTERRUPTION TIME OF A JOB PROCESSED ON AN UNRELIABLE MACHINE

This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.     

ASYMPTOTIC EXPANSION AND ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE TIME-DEPENDENT NEUTRON TRANSPORT PROBLEM IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS

In this paper,the time-dependent neutron transport integro-differential equationin a nonuniform slab with generalized boundary conditions and initial value is considered forgeneral cases concerned with an arbitrary nonhomogeneous medium possibly with cavity,withthe anisotropic scattering and fission,and with continuous energy varying from null to any finiteconstant or from one positive constant to another positive constant.We prove that the correspon-ding neutron transport operator A has finite Spectrum points in any strip {λ|β_1≤R(?)λ≤β_2}whereβ_2>β1>-λ~*(λ~* is the essential infimum of v∑(x,v)),and obtain the asymptotic expansion ofthe time-dependent solution which exists and is unique.Furthermore,we give the existence ofthe dominant eigenvalue and indicate the asymptotic behavior of the neutron density as t→+∞.     

数据包络分析的灵敏度研究及其应用

研究并给出数据包络分析中ＣＣＲ模型的一种灵敏度分析方法，提出有效决策单元在输入／输出变动时，保持有效性不变的充分条件。实用表明，该法稳定有效。     

多供需点快速调运问题研究

研究多供应点，多需求点间的物质快速调运问题。建立了一个运输时间随运输量变动的最速调运模型，讨论了若干理论结果，在此基础民提出了求解模型的启发式递推算法。最后给出了算例。     

ON THE BOUNDEDNESS OF SOLUTIONS,EXISTENCE AND UNIQUENESS OF LIMIT CYCLES FOR A CLASS OF CUBIC DIFFERENTIAL SYSTEM

In this paper, we discuss the boundedness of the solutions, the existence andthe uniqueness of the limit cycle of the following cubic differential system:x'=y, y'=-x+δy+a_2xy+a_4x+a_5x~2y. (*)We obtain the following results:(1) System (*) is bounded if and only if (i) a_5<0, a_4=0; or (ii) a_5=0, a_4<0, δ≤0,-(-8a_4)~(1/2)相似文献