基于Fourier分析的中国股市波动周期研究

通过对沪深两市波动周期的实证分析 ,揭示了中国股市的周期性波动特征 ,并对两市波动的周期性进行了对比 ,为进一步研究我国资本市场的波动提供了依据 .     

指数分布场合下同时存在异常大和异常小值的检验

针对指数分布的场合 ,笔者从经典统计思想入手给出了”取中逐步推移检验法” ,较好地解决了同时存在异常大和异常小数据的检验问题     

关于伽利略的研究方法的教学

研究了伽利略的研究方法的教学 ,提出注重实例分析和培养研究精神等两项措施。     

截断型分布族参数经验Bayes检验的收敛速度

§ 1.　Introduction　　SupposethatrandomvariableXhaspdf(forLebesguemeasure)f(x｜θ) =u(x)m(θ)I(θ ,b) (x) ,(1 )whereθ>a≥ 0 ,θisthetruncationparameterofourinterestandb≤+∞ ,u(x)ispositiveLebesgueintegrablefunctionon (θ,b) ,m(θ) =[∫bθ(u(x)dx] - 1 .ThehypothesistobetestedisH0 ;θ≤θ0 H1 :θ >θ0 , (2 )whereθ0 isaknownconstant.LetlossfunctionisL(θ ,a0 ) =b0 max(θ -θ0 ,0 )foracceptingH0 andL(θ,a1 ) =b0 max(θ0 -θ,0 )foracceptingH1 ,whereb0 isapositiverealnumber,D ={a0 ,a1 }isth…     

Chaitin复杂度、事件的Shannon信息量和无穷随机序列(Ⅱ)

本文是文献[1]的继续,主要考虑以下三个方面的问题,第一,从程序复杂度的观点出发,研究Martin-lf(M.L.)无穷随机序列的性质。我们证明了M.L.无穷随机序列是正规的且服从叠对数定律。第二,M.L.无穷随机序列的有效生成。我们证明了利用标准的方法(如投硬币)可以产生可计算概率分布的M.L.无穷随机序列。第三,对非可计算的概率分布,如何定义它的无穷随机序列。文中给出了两种推广定义,并对其中之一进行了较详细的讨论。     

正态总体方差的最短区间估计与最佳双边检验

用传统方法得到的正态总体的方差的置信区间显然不是最短的 ,因而在这个意义上说也不是最佳的 .对从 3到 45的 n及α=0 .2 5 ,0 .2 0 ,0 .1 5 ,0 .1 0 ,0 .0 5 ,0 .0 1 ,0 .0 0 5 ,我们得到了附表一 ,由此可以查出相应的最短置信区间 .同样 ,在对正态总体的方差进行双边检验时 ,传统的方法给出的临界值也不是最佳的 .对如下的 n和 α我们得到了附表二 ,由此可以查出最佳的临界值 .进行计算所需的程序由我们自己编写     

纤维上染料的FT-Raman光谱法研究

本文采用近红外傅立叶变换拉曼光谱技术（NIR FT－Raman)对27种染色纤维样品进行了检验，同时得到了它们的本底纤维和染料的拉曼谱图，然后利用计算机谱图处理程序进行拉曼差谱处理，获得了染色纤维上染料的拉曼谱图，由此能够实现对纤维上染料的鉴定，根据染料分子的拉曼光谱的特征将24种染色纤维按局部结构特征分为7类，有助于同色纤维上染料的鉴别，该方法快速、简便，灵敏度高，不需从纤维上提取染料。     

应用核磁共振氢谱测试人体的血清

采用核磁共振（NMR）技术对人体的血清进行测试分析，发现健康人和癌症患者在核磁共振氢谱（^1H－NMR）中出现的特征有明显的差异，从而为医学临床检验提供了一个有用的证据。     

非参数可加回归模型和非线性协整检验

本文基于非参数可加回归模型的局部核权最小二乘法提出变量间非线性协整的一种非参数检验方法。     

Evaluation of Bioeffects of a Long-term Administering ChangLe on Rat by Proton NMR Method and BIochemical Examination

High resolution ¹H nuclear magnetic resonance (NMR) spectroscopy has been employed to assess long‐term toxicological effects of ChangLe (a kind of rare earth complex applied in agriculture). Male Wistar rats were administrated orally with ChangLe at doses of 0, 0.1, 0.2, 2.0, 10 and 20 mg/kg body weight daily, respectively, for 6 months. Urine was collected at day 30, 60, 90 and serum samples were taken after 6 months. Many low‐molecular weight metabolites were identified by ¹H NMR spectra of rat urine. A decrease in citrate and an increase in ketone bodies, creatinine, DMA, DMG, TMAO, and taurine in the urine of the rats receiving high doses were found by ¹H NMR spectra. These may mean that high‐dosage of ChangLe impairs the specific region of liver and kidney, such as renal tubule and mitochondria. The decrease in citrate and the increase in succinate and α‐ketoglutarate were attributed to a combination of the inhibition of certain citric acid enzymes, renal tubular acidosis and the abnormal fatty acid catabolism. The information of the renal capillary necrosis could be derived from the increase in DMA, DMG and TMAO. The increase in taurine was due to hepatic mitochondria dysfunction. The conclusions were supported by the results of biochemical measurements and enzymatic assay. No obviously toxicological effects on metabolism were found for low‐dosage ChangLe, but further studies on safety of ChangLe applied to agriculture are still required.