OU型Markov过程的不变测度及弱对偶性

本文研究ＯＵ型Ｍａｒｋｏｖ过程的不变测度、参考测度和弱对偶半群的存在性问题，并得出了不变测度的唯一性。     

AN ESTIMATE ON THE DISTRIBUTION AND MOMENTS OF THE LAST EXIT TIME OF AN ELLIPTIC DIFFUSION PROCESS

Let LB be the last exit time from a compact set B of an elliptic diffusion process X. A moderate estimate for the distribution of LB is obtained, and the sufficient and necessary condition for Ex(LBk)<∞is proved.     

Cobalt(II) and cobalt(III) dipicolinate complexes: solid state,solution, and in vivo insulin-like properties

The synthesis and characterization of Co(II) and Co(III) 2,6-pyridinedicarboxylate (dipic(2-)) complexes are reported. Solid-state X-ray characterizations were performed on [Co(H(2)dipic)(dipic)].3H(2)O and [Co(dipic)(mu-dipic)Co(H(2)O)(5)].2H(2)O. Two coordination modes not previously observed in dipicolinate transition metal complexes were observed in these complexes; one involves metal coordination to the short C-O (C=O) bond, and the other involves metal coordination to a protonated oxygen atom. Solution studies, including paramagnetic NMR and UV-vis spectroscopy, were done showing the high stability and low lability of the Co(III) complex, whereas the Co(II) complexes exhibited ligand exchange in the presence of excess ligand. The [Co(dipic)(2)](2-) complex has pH dependent lability and in this regard is most similar to the [VO(2)dipic](-) complex. The [Co(dipic)(2)](2-) was found to be effective in reducing the hyperlipidemia of diabetes using oral administration in drinking water in rats with STZ-induced diabetes. Oral administration of VOSO(4) was used as a positive control for metal efficacy against diabetes. In addition to providing a framework to evaluate structure-function relationships of various transition metal complexes in alleviating the symptoms of diabetes, this work describes novel aspects of structural and solution cobalt chemistry.     

Inclusion of ferrous phenanthroline in molybdenum disulfide

Ｉｎｔｅｒｃａｌａｔｉｏｎｃｈｅｍｉｓｔｒｙｏｆｌａｙｅｒｅｄｔｒａｎｓｉｔｉｏｎｍｅｔａｌｄｉｓｕｌｆｉｄｅｓｈａｓｂｅｅｎｅｘｔｅｎｓｉｖｅｌｙｓｔｕｄｉｅｄｉｎｔｈｅｐａｓｔｙｅａｒｓ[1].Ｉｔｈａｓｂｅｅｎｅｓｔａｂｌｉｓｈｅｄｔｈａｔｔｈｅｉｎｔｅｒｃａｌａｔｉｏｎｒｅａｃｔｉｏｎｄｅｐｅｎｄｓｓｔｒｏｎｇｌｙｏｎｅｌｅｃｔｒｏｎｉｃｓｔｒｕｃｔｕｒｅｏｆｔｈｅｔｒａｎｓｉｔｉｏｎｍｅｔａｌｄｉｓｕｌｆｉｄｅｓ.Ｆｏｒｉｎｓｔａｎｃｅ,ｖａｒｉｏｕｓｇｕｅｓｔｍｏｌｅｃｕｌｅｓｈａｖｅｂｅ…     

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??The paper considers a risk model with two dependent classes of
insurance business. In this model, the two claim number processes are partly sparsely
correlated through an Erlang(2) process. By introducing an auxiliary model, we obtain the
integral equations for ultimate ruin probabilities, and discuss the asymptotic property of
ruin probabilities by renewal approach. We also get the linear differential equations of
ruin probabilities of the model and the corresponding auxiliary model when claims follow
the exponential distributions, and show how solves the linear differential equations by a
specific example.     

A LAW OF ITERATED LOGARITHM FOR THE MLE IN A RANDOM CENSORING MODEL WITH INCOMPLETE INFORMATION

In this article, a law of iterated logarithm for the maximum likelihood estimator in a random censoring model with incomplete information under certain regular conditions is obtained.     

不完全信息随机截尾广义线性模型的极大似然估计

该文在回归子给定和随机两种情形下,分别定义了不完全信息随机截尾广义线性模型.在一定的条件下,讨论了这两种模型参数向量的似然方程解的存在性和唯一性,获得并证明了这两种模型的极大似然估计(MLE)的相合性与渐近正态性.     

ON THE HITTING PROBABILITY AND POLARITY FOR A CLASS OF SELF-SIMILAR MARKOV PROCESSES

1IntroductionSelf-similarMarkoyprocesseson(0,co)wereintroducedbyLamperti[ZI.AnormalMarkovprocessX=(fi,F,R,Xt,ot,p")withstatespace(0,co)iscalledself-similarMarkovprocessoforderorjor>0,ifitstransitionfunctionPt(x,A)satisfiesPt(x,A)=Pa,(a"x,a"A)Vt>9,a>0,x>0,AEB(0,co).Itwasshownin[2]and[11]thateveryself-similarMarkovprocesson(0,co)automaticllyisstronglyMarkovianandhasanicepath",soitisaHuntprocessinthesenseof[1].Thefractalpropertiesoftheprocesseswerestudiedin[6]and[8].TheitoExcursiontheor…     

几种单双糖及其部分固态金属糖络合物的远红外光谱研究

糖类物质的远红外谱有多个吸收峰 ,并且每种糖有其特征光谱。由于其相对强度顺序不同 ,我们可以选择前四个强峰用编号的方式来简单地区分各种糖。当形成络合物以后 ,出现金属氧振动的宽峰 ,说明远红外技术是一种判断络合物形成及探知其结构的有效手段