1.

THE LIMITING DISTRIBUTIONS OF SOME SUBCLASSES OF THE GENERALIZED NONCENTRAL tDISTRIBUTION





方开泰 袁克海《应用数学学报(英文版)》,1993年第1期


A general theorem on the limiting distribution of the generalized tdistribution is obtained,many applications of this theorem to some subclasses of elliptically contoured distributions in cluding multivariate normal and multivariate t distributions are discussed.Further,their limiting distributions by density function are derived.

2.

TESTING SPHERICITY IN A GMANOVAMANOVA MODEL WITH NORMAL ERROR





白鹏 石磊《数学物理学报(B辑英文版)》,2008年第28卷第3期


This article presents a statistic for testing the sphericity in a GMANOVA MANOVA model with normal error. It is shown that the null distribution of this statistic is beta and its nonnull distribution is given in series form of beta distributions.

3.

Optimal transportationentropy inequalities for several usual distributions on ℝ





Wei Liu《应用数学学报(英文版)》,2011年第27卷第4期


In this paper,based on the recent results of Gozlan and Léonard we give optimal transportationentropy inequalities for several usual distributions on R,such as Bernoulli,Binomial,Poisson,Gamma distributions and infinitely divisible distributions with positive or negative jumps.

4.

On the Distribution of Integral Ideals and Hecke Gr¨ossencharacters





Huixue LAO《数学年刊B辑(英文版)》,2010年第31卷第3期


The author uses analytic methods to study the distribution of integral ideals and Hecke Grossencharacters in algebraic number fields. Nowak＇s results on the distribution of integral ideals, and Chandrasekharan and Good＇s results on the distribution of Hecke GrSssencharacters are improved.

5.

Optimal Transportationentropy Inequalities for Several Usual Distributions on R





Wei LIU《应用数学学报(英文版)》,2011年第4期


In this paper,based on the recent results of Gozlan and Léonard we give optimal transportationentropy inequalities for several usual distributions on R,such as Bernoulli,Binomial,Poisson,Gamma distributions and infinitely divisible distributions with positive or negative jumps.

6.

关于分布参数控制系统能控性的一个注 被引次数：1





SHI Jine ZHANG Zhiping《数学季刊》,2005年第20卷第4期


This paper gives the relation between the precise controllabilities of two distribution parameter systems.

7.

EXPLICIT EXPRESSIONS FOR SOME DISTRIBUTIONS RELATED TO RUIN PROBLEMS





党兰芬 杨丽明《数学物理学报(B辑英文版)》,2003年第23卷第1期


The classical risk process that is perturbed by diffusion is studied .The explicit expressions for the runi probability and the surplus distribution of the risk process at the time of runi are obtained when the claim amount distribution is a finite mixture of exponential distributions of a Gamma (2,α） distribution.

8.

Rate of Convergence for the Empirical Distribution Function and the Empirical Characteristic Function of Mixing Processes





Hu Shuhe《东北数学》,1995年第2期


Ｒａｔｅ ｏｆ Ｃｏｎｖｅｒｇｅｎｃｅ ｆｏｒ ｔｈｅ Ｅｍｐｉｒｉｃａｌ Ｄｉｓｔｒｉｂｕｔｉｏｎ Ｆｕｎｃｔｉｏｎ ａｎｄ ｔｈｅ Ｅｍｐｉｒｉｃａｌ Ｃｈａｒａｃｔｅｒｉｓｔｉｃ Ｆｕｎｃｔｉｏｎ ｏｆ Ｍｉｘｉｎｇ ＰｒｏｃｅｓｓｅｓＨｕＳｈ...

9.

Beamshaping microstructure optical fiber





Qinling Zhou Xingqiang Lu Jianrong Qiu Danping Chen Xiongwei Jiang Congshan Zhu《中国光学快报(英文版)》,2005年第3卷第12期


Microstructure optical fiber with uniform intensity distribution of the fundamental mode is proposed.

10.

SOME POSTERIOR DISTRIBUTIONS FOR THE LAPLACE MEAN





Saralees Nadarajah《数学物理学报(B辑英文版)》,2010年第30卷第1期


Two posterior distributions for the mean of the Laplace distribution are obtained by deriving the distributions of the product XY and the ratio X/Y when X and Y are Student＇s t and Laplace random variables distributed independently of each other. Tabulations of the associated percentage points are given along with computer programs for generating them.

11.

Asymptotic Distribution of a Kind of Dirichlet Distribution





Chen Fei Song Lixin《东北数学》,2010年第26卷第1期


The Dirichlet distribution that we are concerned with in this paper is very special, in which all parameters are different from each other. We prove that the asymptotic distribution of this kind of Dirichlet distributions is a normal distribution by using the central limit theorem and Slutsky theorem.

12.

Systematics on fission fragment mass distribution of neutron induced 235U fission





刘廷进 孙正军 舒能川《中国物理 C》,2008年第32卷第7期


Based on the neutron induced fission fragment mass distribution data up to

13.

On λPower Distributional nChaos





Heman FU Feng TAN《数学年刊B辑(英文版)》,2017年第38卷第5期


For each real number λ ∈ [0,1],λpower distributional chaos has been in troduced and studied via Furstenberg families recently.The chaoticity gets stronger and stronger as λ varies from 1 to 0,where 1power distributional chaos is exactly the usual distributional chaos.As a generalization of distributional nchaos,λpower distributional nchaos is defined similarly.Lots of classic results on distributional chaos can be improved to be the versions of λpower distributional nchaos accordingly.A practical method for distinguishing 0power distributional nchaos is given.A transitive system is constructed to be 0power distributionally nchaotic but without any distributionally (n + 1)scrambled tuples.For each λ ∈ [0,1],λpower distributional nchaos can still appear in minimal systems with zero topological entropy.

14.

THE RELATION OF SEQUENCE DISTRIBUTIONS OF SSBR TO ITS MOLECULAR WEIGHT DISTRIBUTIONS





陈贤益 应圣康《高分子科学》,1991年第4期


The relationship between sequence distributions and molecular weight distributions of SSBR, obtained from styrene and butadiene anionic copolymerization at various conversions with THF/Li~+ as an initiator has been studied by ~(13)CNMR,GPC. The results showed that the molecular weight distributions of the copolymer couldbe correlated sophisticatedly to the binary sequcne distributions or the monomer unit distributions of the copolymer in a corrected Poisson's distribution from.

15.

Time evolution of distribution functions in dissipative environments





胡利云 陈菲 王资生 范洪义《中国物理 B》,2011年第20卷第7期


By introducing the thermal entangled state representation,we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and the any time distribution function.We find that most of them are expressed as such integrations over the LaguerreGaussian function.Furthermore,as applications,we derive the time evolution of photoncounting distribution by bridging the relation between the initial distribution function and the any time photoncounting distribution,and the time evolution of Rfunction characteristic of nonclassicality depth.

16.

Average projection type weighted Cramérvon Mises statistics for testing some distributions





崔恒建《中国科学A辑(英文版)》,2002年第45卷第5期


This paper addresses the problem of testing goodnessoffit for several important multivariate distributions: (Ⅰ) Uniform distribution on pdimensional unit sphere; (Ⅱ) multivariate standard normal distribution; and (Ⅲ) multivariate normal distribution with unknown mean vector and covariance matrix. The average projection type weighted Craméryon Mises test statistic as well as estimated and weighted Cramérvon Mises statistics for testing distributions (Ⅰ), (Ⅱ) and (Ⅲ) are constructed via integrating projection direction on the unit sphere, and the asymptotic distributions and the expansions of those test statistics under the null hypothesis are also obtained. Furthermore, the approach of this paper can be applied to testing goodnessoffit for elliptically contoured distributions.

17.

Single source emission of proton projectile fragments in nucleusemulsion interactions





张东海 李俊生 李惠玲《中国物理 B》,2012年第11期


The projected angular distribution and transverse momentum distribution of proton projectile fragments produced in 3.7A GeV 16O,500A MeV 56Fe,and 1.7A GeV 84Kr induced by different kinds of emulsion target(H,CNO,and AgBr) interactions are investigated.It is found that the projected angular distribution and transverse momentum distribution can be well represented by a single Gaussian distribution.Comparison of transverse momentum distribution with the MaxwellBoltzmann distribution reveals that proton projectile fragments are emitted from a singletemperature emission source.The temperature is different for different colliding systems,and linearly depends on the target size.

18.

Distribution estimation with smoothed auxiliary information





Ahmad Ishfaq《应用数学学报(英文版)》,2011年第27卷第1期


Distribution estimation is very important in order to make statistical inference for parameters or its functions based on this distribution.In this work we propose an estimator of the distribution of some variable with nonsmooth auxiliary information,for example,a symmetric distribution of this variable.A smoothing technique is employed to handle the nondifferentiable function.Hence,a distribution can be estimated based on smoothed auxiliary information.Asymptotic properties of the distribution estimator are derived and analyzed.The distribution estimators based on our method are found to be significantly efficient than the corresponding estimators without these auxiliary information.Some simulation studies are conducted to illustrate the finite sample performance of the proposed estimators.

19.

Projectile fragment emission in the fragmentation of 56Fe on C,Al and CH2 targets at 471 A MeV





李彦晶 张东海 晏世伟 王立春 程锦霞 李俊生 S. Kodaira N. Yasuda《中国物理C(英文版)》,2014年第1期


The emission angle and the transverse momentum distributions of projectile fragments produced in the fragmentation of 56Fe on CHs, C and A1 targets at 471 A MeV are measured. It is found that for the same target, the average value and width of the angular distribution decrease with an increase of the projectile fragment charge; for the same projectile fragment, the average value of the distribution increases and the width of the distribution decreases with increasing the target charge number. The transverse momentum distribution of a projectile fragment can be explained by a single Gaussian distribution and the averaged transverse momentum per nucleon decreases with the increase of the charge of projectile fragment. The cumulated squared transverse momentum distribution of a projectile fragment can be explained well by a single Rayleigh distribution. The temperature parameter of the emission source of the projectile fragment, calculated from the cumulated squared transverse momentum distribution, decreases with the increase of the size of the projectile fragment.

20.

Meson polarized distribution function and mass dependence of the nucleon parton densities





A. Mirjalili K. Keshavarzian《中国物理C(英文版)》,2014年第8期


The polarized distribution functions of mesons, including pion, kaon and eta, using the proton structure function, are calculated. We are looking for a relationship between the polarized distribution of mesons and the polarized structure of nucleons. We show that the meson polarized parton distributions leads to zero total spin for the concerned mesons, considering the orbital angular momentum of quarks and gluons inside the meson. Two separate Monte Carlo algorithms are applied to compute the polarized parton distributions of the kaon. Via the mass dependence of quark distributions, the distribution function of the eta meson is obtained. A new method by which the polarized sea quark distributions of protons are evolved separately which cannot be performed easily using the standard solution of DGLAP equations  is introduced. The mass dependence of these distributions is obtained, using the renormalization group equation which makes their evolutions more precise. Comparison between the evolved distributions and the available experimental data validates the suggested solutions for separated evolutions.
