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On Continuous Limiting Behaviour for the <i>q(n)</i>-Binomial Distribution with <i>q(n)</i>→1 as n→∞
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作者 Malvina Vamvakari 《Applied Mathematics》 2012年第12期2101-2108,共8页
Recently, Kyriakoussis and Vamvakari [1] have established a q-analogue of the Stirling type for q-constant which have lead them to the proof of the pointwise convergence of the q-binomial distribution to a Stieltjes-W... Recently, Kyriakoussis and Vamvakari [1] have established a q-analogue of the Stirling type for q-constant which have lead them to the proof of the pointwise convergence of the q-binomial distribution to a Stieltjes-Wigert continuous distribution. In the present article, assuming a sequence q(n) of n with q(n)→1 as n→∞, the study of the affect of this assumption to the q(n)-analogue of the Stirling type and to the asymptotic behaviour of the q(n)-Binomial distribution is presented. Specifically, a q(n) analogue of the Stirling type is provided which leads to the proof of deformed Gaussian limiting behaviour for the q(n)-Binomial distribution. Further, figures using the program MAPLE are presented, indicating the accuracy of the established distribution convergence even for moderate values of n. 展开更多
关键词 Stirling Formula q(n) -factorial Number of Order N Saddle Point Method q(n)-Binomial DISTRIBUTION POINTWISE Convergence Gauss DISTRIBUTION
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无重复因析试验中多个散度效应检验的一种改进方法 被引量:1
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作者 杨柳 李济洪 王钰 《数学的实践与认识》 CSCD 北大核心 2010年第12期132-138,共7页
在无重复因析试验的多个散度效应分析中,常常出现错误识别的现象,即两个显著的散度效应可能在它们的交互列上产生一个错误的散度效应,并且现有的许多方法都存在这样的问题.为了解决这种模棱两可性,McGrath和Lin(2001)提出了一种基于残... 在无重复因析试验的多个散度效应分析中,常常出现错误识别的现象,即两个显著的散度效应可能在它们的交互列上产生一个错误的散度效应,并且现有的许多方法都存在这样的问题.为了解决这种模棱两可性,McGrath和Lin(2001)提出了一种基于残差样本方差几何平均的检验方法(ML方法),但是这个方法不能应用于零残差样本方差的情形.鉴于此,提出了一种基于修改残差的改进方法,适用于零残差样本方差的情形,并且通过实例验证了方法的合理性.最后,通过模拟和ML方法做了比较. 展开更多
关键词 无重复因析 散度效应 检验 样本方差
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Muon-pair production in the left-right symmetric model at a Z^0-factory
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作者 MAHFOUDH A B 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2010年第11期1975-1980,共6页
The potential for probing the impacts of the left-right symmetric model (LRM) on the process e + e-→μ + μ-at a proposed Z 0-factory is investigated.Under different electron-positron polarization collision modes,we ... The potential for probing the impacts of the left-right symmetric model (LRM) on the process e + e-→μ + μ-at a proposed Z 0-factory is investigated.Under different electron-positron polarization collision modes,we calculate and compare the deviations of various observables in the framework of the LRM from the standard model (SM) predictions,such as the total cross section,the distribution of the transverse momentum of μ-,and the forward-backward charge asymmetry of μ-.In addition,we present the relations between the observables and the LRM parameters.We conclude that it is possible to observe the effects of the LRM on the process e + e-→μ + μ-by using optimal observables and favorable parameters at a Z 0-factory. 展开更多
关键词 Z 0 -factory electron-positron COLLIDER μ-pair production the left-right symmetric model
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Effects of the littlest Higgs model on the process e^+ e^- → μ^+ μ^- at a Z^0-factory
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作者 Wei Sun WenGan Ma +3 位作者 RenYou Zhang Lei Guo Yi Jiang Liang Han 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2010年第11期1961-1967,共7页
We investigate the possibilities of finding the effects of the littlest Higgs (LH) model on the process e + e - →μ + μ - at the leadingorder at a possible Z 0-factory.We study the impacts of the LH model on the obs... We investigate the possibilities of finding the effects of the littlest Higgs (LH) model on the process e + e - →μ + μ - at the leadingorder at a possible Z 0-factory.We study the impacts of the LH model on the observables,such as,the total cross section,the distribution of the transverse momentum of μ-,and the forward-backward charge asymmetry of μin polarized and unpolarized electron-positron collision modes.Besides,we analyze the relations between the observables and the LH model parameters,and discuss the observables of process e + e→μ + μ-in different incoming electron-positron polarization modes.We conclude that one could observe the effects contributed by the LH model on the process e + e-→μ + μin a reasonable parameter space,or might put more stringent constraints on the LH parameters in the future experiments at the possible Z 0-factory. 展开更多
关键词 Z 0 -factory electron-positron COLLIDER μ-pair production the LITTLEST HIGGS model
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Status of KLOE-2
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作者 G.Venanzoni 《Chinese Physics C》 SCIE CAS CSCD 2010年第6期918-923,共6页
In a few months the KLOE-2 detector is expected to start data taking at the upgraded DAФNE φ-factory of INFN Laboratori Nazionali di Frascati. It aims to collect 25 fb^-1 at the φ(1020) peak, and about 5 fb^-1 in... In a few months the KLOE-2 detector is expected to start data taking at the upgraded DAФNE φ-factory of INFN Laboratori Nazionali di Frascati. It aims to collect 25 fb^-1 at the φ(1020) peak, and about 5 fb^-1 in the energy region between 1 and 2.5 GeV. We review the status and physics program of the project. 展开更多
关键词 electron-positron annihilation φ-factory kaon interferometry discrete symmetries γγ physics scalar spectroscopy hadronic cross sections g-2 αem
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KLOE results on scalar and pseudoscalar mesons
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作者 P.Gauzzi 《Chinese Physics C》 SCIE CAS CSCD 2010年第6期632-637,共6页
The data collected by the KLOE Collaboration at the Frascati φ-factory DAФNE from 2001 to 2006 have been used for extensive studies in meson spectroscopy. The decays of the scalar mesons a0(980) and f0(980) into... The data collected by the KLOE Collaboration at the Frascati φ-factory DAФNE from 2001 to 2006 have been used for extensive studies in meson spectroscopy. The decays of the scalar mesons a0(980) and f0(980) into two pseudoscalar mesons have been exploited to measure the relevant parameters of those resonances. The radiative decays φ →ηγ and η'γ have been used for the determination of the pseudoscalar mixing angle and to search for a possible gluonium content in the η'. The dynamics of the η → 3π decay has been studied and the Dalitz Plot parameters have been measured. The large amount of η mesons produced allowed also to study interesting rare η decays. 展开更多
关键词 e^+e^- interactions φ-factory scalar mesons pseudoscalar mesons
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