四元数矩阵的复表示与四元数矩阵之迹

引入四元数矩阵的复表示,讨论了它的性质,并且证明了Bellman不等式在四元数体上的修正结果,事实上四元数矩阵之迹的有关结果都是这一表示及复矩阵相应结果的简单推论.     

具时滞的禽类养殖系统

本文讨论了具常时滞和变时滞的禽类养殖系统,并给出了各项系数的适当条件和其在实际生产中的意义,由此导出了具常时滞和变时滞的禽类养殖系统的解的存在唯一性.     

浅议处所成分的关系化问题

只有语义上表实体的处所成分才能被关系化;表意比较概括的处所成分容易关系化,专名较难关系化,除 非它在关系小句中充当处所主语;处所成分关系化结构中"的"字的隐现引发的问题带给我们的启示是限定词"这／ 那"似乎有"的"的功能。     

ESTIMATING POPULATION SIZE FROM CAPTURE-RECAPTURE EXPERIMENTS IN CONTINUOUS TIME

Estimates for the size of a closed population are given for multiple recapture studies in continuous time. The estimates are derived by a method of moments for martingales. An estimate and associated standard error of the population size are derived for a homogeneous population when the capture rates are permitted to depend on time in an unspecified manner. Corresponding results are obtained when the capture rates vary among individuals as well. Explicit expressions are given for these estimates and standard errors which involve only simple computation.     

基于综合平衡法的花盆件浇注系统优化设计

：针对浇注系统的不合理设计对制品质量产生重要影响的问题,提出利用综合平衡法对浇注系统优化的方案。以 塑料花盆件为研究对象,在Pro/E中建立模型,借助Moldflow的分析功能,选用PP材料,采用点浇口填充方式;结合正交 试验法来分析塑件结构、浇口尺寸和浇口个数对制品翘曲变形量和体积收缩率的影响规律;采用极差分析法分别研究产 生最小翘曲变形和最小体积收缩率时的因素组合;运用多目标综合平衡法,选出同时满足最优翘曲变形量和体积收缩率 的因素组合,并进行验证分析,从而证明了优化方案的合理性。该设计控制了收缩变形的产生,使产品质量得到了一定 改善,为模具设计提供了参考。     

A discrete/continuous choice model on a nonconvex budget set

Decreasing block rate pricing is a nonlinear price system often used for public utility services. Residential gas services in Japan and the United Kingdom are provided under this price schedule. The discrete/continuous choice approach is used to analyze the demand under decreasing block rate pricing. However, the nonlinearity problem, which has not been examined in previous studies, arises because a consumer’s budget set (a set of affordable consumption amounts) is nonconvex, and hence, the resulting model includes highly nonlinear functions. To address this problem, we propose a feasible, efficient method of demand estimation on the nonconvex budget. The advantages of our method are as follows: (i) the construction of an Markov chain Monte Carlo algorithm with an efficient blanket based on the Hermite–Hadamard integral inequality and the power-mean inequality, (ii) the explicit consideration of the (highly nonlinear) separability condition, which often makes numerical likelihood maximization difficult, and (iii) the introduction of normal disturbance into the discrete/continuous choice model on the nonconvex budget set. The proposed method is applied to estimate the Japanese residential gas demand function and evaluate the effect of price schedule changes as a policy experiment.     

On selecting a subset containing the most probable multinomial event

Panchapakesan's procedure is considered for the problem of selectinga subset containing the most probable multinomial event. We use the type-2 Dirichlet integral to express the probability of a correct selection and propose a much simpler proof for the worst configuration. We also show that the supremum of the expected subset size occurs at the equal configuration.     

Non-parametric Bayesian Inference for Integrals with respect to an Unknown Finite Measure

Abstract.  We consider the problem of estimating a collection of integrals with respect to an unknown finite measure μ from noisy observations of some of the integrals. A new method to carry out Bayesian inference for the integrals is proposed. We use a Dirichlet or Gamma process as a prior for μ , and construct an approximation to the posterior distribution of the integrals using the sampling importance resampling algorithm and samples from a new multidimensional version of a Markov chain by Feigin and Tweedie. We prove that the Markov chain is positive Harris recurrent, and that the approximating distribution converges weakly to the posterior as the sample size increases, under a mild integrability condition. Applications to polymer chemistry and mathematical finance are given.     

一个新Hilbert型积分不等式

通过引入权函数的方法,利用Beta函数和带权的Hlder不等式,建立了一个新Hilbert型积分不等式及其等价形式,并证明了其常数因子是最佳值.     

一类参数型Marcinkiewicz积分的有界性

讨论了一类具有变量核的参数型Marcinkiewicz积分的有界性,证明了当此类Marcinkiewicz积分满足Dinni型条件时,它在Herz型Hardy空间中是有界的.