Asymptotic distributions in affiliation networks with an increasing sequence

A central limit theorem for a linear combination of all the maximum likelihood estimators with an increasing dimension for affiliation networks has been established. Simulation studies are provided to illustrate the asymptotic results.     

A general class of non parametric tests for comparing scale parameters

In this paper, a general class of non parametric tests is proposed for the two-sample scale problem. Testing of the scale parameter is very useful in real-life situations commonly faced in engineering, trade, cultivation, industries, medicine, etc. In all these fields, one will prefer the method that gives more consistent results. Thus, it is worthwhile to test the equality of scale parameters. The distribution of the proposed test is established. To assess the performance of the proposed test, the asymptotic efficacies are studied for some underlying distributions and the results are interpreted with useful information. To see the working of the proposed test, an illustrative example for the real-life data set is provided. The simulation study is also carried out to find the asymptotic power of the proposed test. An extension of the general class of tests to the multiple-sample problem is also discussed.     

SABR随机波动率LIBOR市场模型的参数校准估计方法与实证模拟

针对标准化Libor市场模型（LMM）和Heston随机波动率Libor市场模型（Heston-LMM）的应用局限,首先将SABR代替Heston过程引入标准化Libor市场模型框架,建立非标准化的SABR随机波动率Libor市场模型（SABR-LMM）;在此基础上,运用利率上限期权（Cap）、利率互换期权（Swaption）和自适应马尔科夫链蒙特卡罗模拟方法（MCMC）对模型参数进行有效市场校准与模拟估计;最后,针对三个月美元Libor远期利率实际数据,对上述三类Libor市场模型的实际运行效果进行了实证模拟计算与比较分析。研究结论认为,基于模拟利差计算结果,针对短期Libor利率模拟而言,与LMM和Heston -LMM两类模型而言,加入SABR波动项的SABR-LMM模型具有更小的模拟误差,因而具有更好的模拟效果。     

Approximate jackknife empirical likelihood method for estimating equations

It is known that the profile empirical likelihood method based on estimating equations is computationally intensive when the number of nuisance parameters is large. Recently, Li, Peng, & Qi (2011) proposed a jackknife empirical likelihood method for constructing confidence regions for the parameters of interest by estimating the nuisance parameters separately. However, when the estimators for the nuisance parameters have no explicit formula, the computation of the jackknife empirical likelihood method is still intensive. In this paper, an approximate jackknife empirical likelihood method is proposed to reduce the computation in the jackknife empirical likelihood method when the nuisance parameters cannot be estimated explicitly. A simulation study confirms the advantage of the new method. The Canadian Journal of Statistics 40: 110–123; 2012 © 2012 Statistical Society of Canada     

不确定需求下二级供应链中的鲁棒定价问题

对由一个制造商和一个零售商组成的单一产品二级供应链,在市场潜在需求和价格敏感系数不确定的情况下,分析制造商和零售商的鲁棒定价决策。首先考虑了零售商掌握完全信息而制造商仅已知各参数区间的不对称信息情形,建立Stackelberg鲁棒博弈模型并对模型的均衡解进行探讨,进一步通过对解的分析和对比讨论了不对称信息下零售商的决策优势。然后研究了制造商和零售商都仅已知各参数区间的不完全信息情形,给出Stackelberg鲁棒博弈模型,求得其均衡解并与完全信息下的情形以及不对称信息下的情形进行比较,分别得到制造商和零售商在不完全信息下所获得的利润比在完全信息下所获得利润高的条件,并证明了制造商在不完全信息下所获得的利润比在不对称信息下获得的利润高,而零售商则刚好相反。最后给出算例分析,对所得到的解和结论做一些补充。     

配合物〔Cr(salen)(nic)(H_2O)〕·H_2O的电子光谱

通过测定配合物[Cr(salen)(nic)(H_2O)·H_2O的电子光谱,给出了铬(Ⅲ)离子d电子跃迁的系列参数,并对配合物的配位场光谱强度进行了分析讨论.     

Asymptotic properties of a conditional maximum-likelihood estimator

Inference for a scalar interest parameter in the presence of nuisance parameters is considered in terms of the conditional maximum-likelihood estimator developed by Cox and Reid (1987). Parameter orthogonality is assumed throughout. The estimator is analyzed by means of stochastic asymptotic expansions in three cases: a scalar nuisance parameter, m nuisance parameters from m independent samples, and a vector nuisance parameter. In each case, the expansion for the conditional maximum-likelihood estimator is compared with that for the usual maximum-likelihood estimator. The means and variances are also compared. In each of the cases, the bias of the conditional maximum-likelihood estimator is unaffected by the nuisance parameter to first order. This is not so for the maximum-likelihood estimator. The assumption of parameter orthogonality is crucial in attaining this result. Regardless of parametrization, the difference in the two estimators is first-order and is deterministic to this order.     

熔盐电化学反应炉温度控制系统研究

设计了适合熔盐电化学钽阳极氧化工艺的电化学反应炉及其温度控制系统,研究了模糊参数自整定PID控制器在电化学反应炉温度控制系统中的应用。对常规PID控制器和模糊参数自整定PID控制器进行了仿真对比,结果表明基于模糊参数在线自整定的PID控制器系统超调量明显减小,控制系统的动静态性能均得到改善。现场实验结果也证明了该设计方案是合理有效的。     

An evaluation of change-point estimators for a sequence of normal observations with unknown parameters

Performance of maximum likelihood estimators (MLE) of the change-point in normal series is evaluated considering three scenarios where process parameters are assumed to be unknown. Different shifts, sample sizes, and locations of a change-point were tested. A comparison is made with estimators based on cumulative sums and Bartlett's test. Performance analysis done with extensive simulations for normally distributed series showed that the MLEs perform better (or equal) in almost every scenario, with smaller bias and standard error. In addition, robustness of MLE to non-normality is also studied.